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1

Lai, Jiun-Yu. "Mechanics, mechanisms, and modeling of the chemical mechanical polishing process." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/8860.

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Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2001.
Includes bibliographical references.
The ever-increasing demand for high-performance microelectronic devices has motivated the semiconductor industry to design and manufacture Ultra-Large-Scale Integrated (ULSI) circuits with smaller feature size, higher resolution, denser packing, and multi-layer interconnects. The ULSI technology places stringent demands on global planarity of the Interlevel Dielectric (ILD) layers. Compared with other planarization techniques, the Chemical Mechanical Polishing (CMP) process produces excellent local and global planarization at low cost. It is thus widely adopted for planarizing inter-level dielectric (silicon dioxide) layers. Moreover, CMP is a critical process for fabricating the Cu damascene patterns, low-k dielectrics, and shallow isolated trenches. The wide range of materials to be polished concurrently or sequentially, however, increases the complexity of CMP and necessitates an understanding of the process fundamentals for optimal process design. This thesis establishes a theoretical framework to relate the process parameters to the different wafer/pad contact modes to study the behavior of wafer-scale polishing. Several models of polishing - microcutting, brittle fracture, surface melting and burnishing - are reviewed. Blanket wafers coated with a wide range of materials are polished to verify the models. Plastic deformation is identified as the dominant mechanism of material removal in fine abrasive polishing.
(cont.) Additionally, contact mechanics models, which relate the pressure distribution to the pattern geometry and pad elastic properties, explain the die-scale variation of material removal rate (MRR) on pattern geometry. The pad displacement into low features of submicron lines is less than 0.1 nm. Hence the applied load is only carried by the high features, and the pressure on high features increases with the area fraction of interconnects. Experiments study the effects of pattern geometry on the rates of pattern planarization, oxide overpolishing and Cu dishing. It was observed that Cu dishing of submicron features is less than 20 nm and contributes less to surface non-uniformity than does oxide overpolishing. Finally, a novel in situ detection technique, based on the change of the reflectance of the patterned surface at different polishing stages, is developed to detect the process endpoint and minimize overpolishing. Models that employ light scattering theory and statistical treatment correlate the sampled reflectance with the surface topography and Cu area fraction for detecting the process regime and endpoint. The experimental results agree well with the endpoint detection schemes predicted by the models.
by Jiun-Yu Lai.
Ph.D.
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2

MacLennan, Iain James. "Two parameter engineering fracture mechanics." Thesis, University of Glasgow, 1996. http://theses.gla.ac.uk/6756/.

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The object of this work was to investigate and expand on previously carried out research into elastic-plastic crack tip fields using the first two terms of the Williams expansion to characterise the degree of crack tip constraint. As a precursor to this research a history of fracture mechanics is also presented. In the present work crack tip fields in small scale yielding have been detennined using modified boundary layer formulations in an attempt to model the influence of the second order term of the Williams expansion, the T -stress. The prime object of this thesis was to investigate and expand on previously carried out research into a two parameter characterisation of elastic-plastic crack tip fields using the second parameter of the Williams expansion(T), which attempts to characterise the degree of crack tip constraint. Modified Boundary Layer formulations in conditions of plane strain were implemented to derive a suitable reference solutions, against which the effects of out of plane strains can be compared and the validity of presently established reference fields can be gauged. The effect of out of plane non-singular stress, S, on the crack tip stress field were also considered, where constraint was largely determined by T. A wide range of analyses have been carried out, from the microstructural scale to complete engineering components in an attempt to characterise crack tip stress fields. The ability to apply two parameter fracture concepts to real engineering structures requires methods for calculating T for complex components with realistic semi-elliptical defects. A simple engineering method for achieving this was developed making use of linespring elements in the finite element package ABAQUS. This approach was validated by the calculation of T for semi-elliptical cracks at the chord-brace intersection of a tubular welded joint, modelled using the mesh generation program PATRAN. The micromechanics of cleavage, using the Ritchie-Knott-Rice model have also been constructed. This work relates the ratio of J for unconstrained and constrained geometries to critical microstructural distance, critical cleavage stress and the toughness ratio on the strainhardening effect. The elastic-plastic behaviour of short and deeply cracked bend bars has previously been described by Betegon and Hancock based on the first two terms of the Williams expansion. A local cleavage criterion has been applied to these fields to indicate the effect of loss of constraint on lower shelf toughness of shallow cracked bend bars. The work models the maximum temperature at which cleavage can occur in these geometries to show the effect of constraint and aJW ratio of cracked bend bars on the ductile-brittle transition temperature. This has also been backed by a significant experimental research program. Finally constraint dependent toughness has been considered in relation to failure assessment methodologies. A simple engineering method for modifying these Failure Assesssment Diagrams has been presented, this consists of considering the constraint matched toughness of the strucutre. This procedure recovers the original Failure Assessment Line and unifies the constraint dependent fracture toughness within defect assessment schemes which utilise Failure Assessment Diagrams.
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3

Yedeg, Esubalewe Lakie. "Control and design of engineering mechanics systems." Licentiate thesis, Umeå universitet, Institutionen för datavetenskap, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-76675.

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4

Blackstone, Britani Nicole. "Biomaterial, Mechanical and Molecular Strategies to Control Skin Mechanics." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1406123409.

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5

de, Vries Edgar. "Mechanics and mechanisms of ultrasonic metal welding." The Ohio State University, 2004. http://rave.ohiolink.edu/etdc/view?acc_num=osu1078415529.

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6

Szklarzewski, Veronica. "A mechanism for testing the torsional mechanics of origami-inspired hinges." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/98760.

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Thesis: S.B., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2015.
Cataloged from PDF version of thesis.
Includes bibliographical references (page 29).
Folding 2-dimensional sheets into static and dynamic 3-dimensional structures has the potential to improve rate, cost, and flexibility in manufacturing. In order to explore origami-inspired design, a better understanding of the mechanics of the fold is needed. This is to create better mathematical models and design for particular stiffness and fatigue specifications. The purpose of this study is to create a desktop machine that enables the measurement of the torsional stiffness of folded hinges over a wide angular range and a large number of cycles. This machine was then used to test 100 and 140 lb papers with 4 and 14 scores for the crease. Each paper was tested for 10 cycles and stiffness calculated. It was shown that 40 lb papers have higher reaction forces than the 100 lb papers. Stiffness measurements were inconclusive due to possible bending in addition to the hinging. For the 200 cycle around a 2 g decrease can be seen from I cycle to 200 cycles.
by Veronica Szklarzewski.
S.B.
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7

Noll, Scott Allen. "Residual stress fields due to laser-pulse-generated shock waves." The Ohio State University, 1999. http://rave.ohiolink.edu/etdc/view?acc_num=osu1407411599.

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8

Wu, Xin Ming. "Electrorheological fluids : fundamentals and engineering applications." Thesis, University of Liverpool, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.316617.

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9

Stevens, N. G. "Electrorheological fluids and their engineering application." Thesis, University of Liverpool, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.356283.

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10

Yedeg, Esubalewe Lakie. "Analysis, Control, and Design Optimization of Engineering Mechanics Systems." Doctoral thesis, Umeå universitet, Institutionen för datavetenskap, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-119978.

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This thesis considers applications of gradient-based optimization algorithms to the design and control of some mechanics systems. The material distribution approach to topology optimization is applied to design two different acoustic devices, a reactive muffler and an acoustic horn, and optimization is used to control a ball pitching robot. Reactive mufflers are widely used to attenuate the exhaust noise of internal combustion engines by reflecting the acoustic energy back to the source. A material distribution optimization method is developed to design the layout of sound-hard material inside the expansion chamber of a reactive muffler. The objective is to minimize the acoustic energy at the muffler outlet. The presence or absence of material is represented by design variables that are mapped to varying coefficients in the governing equation. An anisotropic design filter is used to control the minimum thickness of materials separately in different directions. Numerical results demonstrate that the approach can produce mufflers with high transmission loss for a broad range of frequencies. For acoustic devices, it is possible to improve their performance, without adding extended volumes of materials, by an appropriate placement of thin structures with suitable material properties. We apply layout optimization of thin sound-hard material in the interior of an acoustic horn to improve its far-field directivity properties. Absence or presence of thin sound-hard material is modeled by a surface transmission impedance, and the optimization determines the distribution of materials along a “ground structure” in the form of a grid inside the horn. Horns provided with the optimized scatterers show a much improved angular coverage, compared to the initial configuration. The surface impedance is handled by a new finite element method developed for Helmholtz equation in the situation where an interface is embedded in the computational domain. A Nitschetype method, different from the standard one, weakly enforces the impedance conditions for transmission through the interface. As opposed to a standard finite-element discretization of the problem, our method seamlessly handles both vanishing and non-vanishing interface conditions. We show the stability of the method for a quite general class of surface impedance functions, provided that possible surface waves are sufficiently resolved by the mesh. The thesis also presents a method for optimal control of a two-link ball pitching robot with the aim of throwing a ball as far as possible. The pitching robot is connected to a motor via a non-linear torsional spring at the shoulder joint. Constraints on the motor torque, power, and angular velocity of the motor shaft are included in the model. The control problem is solved by an interior point method to determine the optimal motor torque profile and release position. Numerical experiments show the effectiveness of the method and the effect of the constraints on the performance.
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11

Ramakrishnan, S. 1964. "Mechanics of particulate media: A lattice-type approach." Diss., The University of Arizona, 1997. http://hdl.handle.net/10150/289522.

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This research is aimed at understanding the mechanical behavior of particulate/granular media using the power of lattice based techniques. In the lattice type model, a particulate assembly is simulated as a lattice/truss network. Nodes are relocated at contacts between a particle and its neighbors/boundaries and are linked by bars to each other. Each particle is replaced by a lattice within its microstructure and particles interact through load transfer at nodes. Constraints are prescribed at the nodes of the lattice to simulate active, deactivated, and reactivated contacts. An assembly of particles is thus transformed into a lattice/truss and is analyzed using standard methods of structural mechanics under appropriate boundary conditions. When a particulate assembly develops into a mechanism (deformation with zero incremental load), further deformation is simulated through a framework that describes the kinematics of the particles (sliding, rolling, and rotation of particles). This framework is formed by introducing nodes at the particle centroids and linking them with bars. Bars linking particles with a non-sliding contact are assigned large stiffnesses relative to bars linking particles with a sliding contact. Numerical tests are conducted on two dimensional assemblies of disks, arranged as very loose and very dense packings under simple shear loading conditions. The results concord with the results of numerical tests conducted using the discrete element method at low strain levels and with photoelastic experiments up to large shear strain levels. The model is applied to study the effects of initial imperfections caused by particles with low elastic modulus. A dense assembly of disks, with 25% of the particles having an elastic modulus 1/100th of the elastic modulus of the remaining particles, resulted in a decrease of 67% for the shear modulus of the whole assembly. The lattice type model is conceptually simple but has some powerful features that can account for initial particle imperfections, anisotropy, and particle crushing.
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12

Cho, Hansohl. "Mechanics of elastomeric copolymers." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/87972.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2014.
Cataloged from PDF version of thesis.
Includes bibliographical references.
Elastomeric copolymers have been versatile materials for a broad variety of engineering applications of critical importance ranging from ballistic protective coatings to self-healing microstructures, possessing a backbone structure composed of alternate hard and soft segments, where the hard/soft nomenclature corresponds to the thermodynamic glassy/rubbery state at ambient temperature. The thermodynamic incompatibility of microstructures often lead to a phase-separated morphology of the hard and soft domains which can be tailored depending on the chemical composition, molecular dispersion, processing and synthesis to give a variety of physical properties. The mechanical behavior of elastomeric copolymers is hence governed by the chemical composition as well as the morphology providing a hybrid performance by virtue of simultaneous contributions from constituent homopolymers often offering new and unique properties. In this research, the mechanics and physics of large deformation behavior of elastomeric copolymers are addressed in terms of their resilience and dissipation involving elastomeric "segmented" copolymers and elastomeric "ionic" copolymers. The presence of hard and soft domains yields to multiple molecular relaxations and hence multiple viscous dissipation mechanisms in elastomeric copolymers. In addition to the viscous dissipation, stretch-induced softening due to microstructural evolution revealed via x-ray scattering observation during deformation provides another major dissipation pathway. Furthermore the segmented copolymers exhibit a substantial shape recovery upon unloading in tandem with a remarkable amount of hysteresis. A microstructurally-informed constitutive model is proposed to address the main features of mechanical behavior of exemplar copolymers under a variety of loading conditions, employing multiple micro-rheological mechanisms representing hard and soft domains. The proposed model was found to be capable of capturing the salient features of resilient yet dissipative stress-strain behavior of materials at a wide range of strains and strain rates. The model was then furthered to examine the effect of weight fraction, morphology and segmental dynamics of hard and soft microstructures. Next, the resilience and dissipation in elastomeric segmented copolymers are examined in their connections to shape recovery under microindentation testing in experiments and numerical simulations. Numerical simulations imparting the proposed constitutive model were found to be capable of capturing the microindentation behavior of materials including force-displacement capable of capturing the microindentation behavior of materials including force-displacement responses under complicated loading scenarios. Additionally, the microindentation behavior revealed a substantial shape recovery of indented surfaces which was due to inelastic flow beyond elastic resilience. The elastically- and inelastically-driven shape recovery provides critical insight into a better understanding of shape memory, recovery and self-healing mechanisms in this class of segmented elastomers. The extreme nature of elastomeric copolymers under harsh mechanical environments is then addressed via Taylor impact testing, where an ultrafast deformation event is incurred. Numerical simulations of Taylor impact behavior of elastomeric copolymers are compared to experimental results in terms of overall and localized deformation profiles, revealing a three-dimensional capability of our framework under dynamic, inhomogeneous deformation field. Furthermore, energy dissipation under such an extreme event is examined by comparison to that found in "model" glassy and rubbery polymers revealing that copolymeric materials enable a highly recoverable, protective composite architecture for shock and ballistic mitigation by taking advantages of hybrid performance of glassy and rubbery polymers. Lastly, the mechanics of elastomeric "ionic" copolymers is addressed for a broad understanding of their resilience, dissipation and shape recovery under a wide range of mechanical loading conditions. Our viscoelastic-viscoplastic constitutive framework is further developed to address the large deformation behavior of ionic elastomers including ethylene methacrylic acid (EMAA) copolymer and its chemically-modified counterparts which are recently finding new avenues towards multi-functional soft materials involving their self-healing ability under severe deformation events. This study provides a simple yet intuitive framework to rationalize physically-sound deformation mechanisms of diverse elastomeric copolymers by employing a combination of novel modeling, experimentation and computation. Finally, potential topics for further research, to which the present work can directly contribute, are discussed in a wide variety of engineering contexts.
by Hansohl Cho.
Ph. D.
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13

Raayai, Ardakani Shabnam. "Mechanics of graded wrinkling." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/81621.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2013.
Cataloged from PDF version of thesis.
Includes bibliographical references.
The properties of a surface depend on the inherent material and the surface topography. Nature uses surface texture as a means to impact different surface behavior such as cleanliness, adhesion control, drag reduction, etc. As one way to mimic nature to obtain particular surface properties, different methods have been used to alter surface topography including surface wrinkling. Through buckling of a thin film of stiff material bonded to a substrate of a softer material, wrinkled patterns can be created by inducing compressive stress in the thin film. Using this same principle, changing the geometry of the surface or other means of creating a gradient in the stress distribution along the film, a gradient in the wrinkle topography can be created. The graded wrinkles possess varying amplitudes and wave lengths along the length of the film. In this work, the mechanics of graded wrinkling are first investigated through analytical modeling. Then, using finite element analysis, different aspects of graded wrinkling such as the wrinkle profile, stress and strain distributions are explored. Afterwards, different methods for creating wrinkled surfaces are introduced. In this work, the method of mechanical stretch and release is used for creating the wrinkled surfaces. PDMS sheets were prepared and coated with a stiff polymer using the method of initiated Chemical Vapor Deposition. The results of the graded wrinkling experiments are then presented and the trends are compared with the trends found through the finite element analysis.
by Shabnam Raayai Ardakani.
S.M.
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14

Vonderheide, Christopher M. "Laser velocimetric flow mapping and characterization of oil mist nozzles used for blade excitation in high cycle fatigue testing." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2005. http://library.nps.navy.mil/uhtbin/hyperion/05Sep%5FVonderheide.pdf.

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Thesis (M.S. in Mechanical Engineering)--Naval Postgraduate School, September 2005.
Thesis Advisor(s): Dr. Raymond Shreeve, Dr. Garth Hobson. Includes bibliographical references (p. 61). Also available online.
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15

Fountoukidis, Evangelos. "Thermo-mechanical response of monolithic and NiTi shape memory alloy fiber reinforced Sn-3.8Ag-0.7Cu solder." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2005. http://library.nps.navy.mil/uhtbin/hyperion/05Sep%5FFountoukidis.pdf.

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16

Hosoglu, Selcuk. "Cellular automata an approach to wave propagation and fracture mechanics problems." Thesis, Monterey, Calif. : Naval Postgraduate School, 2006. http://bosun.nps.edu/uhtbin/hyperion.exe/06Dec%5FHosoglu.pdf.

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Thesis (M.S. in Mechanical Engineering)--Naval Postgraduate School, December 2006.
Thesis Advisor(s): Young W. Kwon. "December 2006." Includes bibliographical references (p. 63-64). Also available in print.
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17

Betancourt, Arturo. "Computational study of the heat transfer and fluid structure of a shell and tube heat exchanger." Thesis, Florida Atlantic University, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10172609.

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A common technique to improve the performance of shell and tube heat exchangers (STHE) is by redirecting the flow in the shell side with a series of baffles. A key aspect in this technique is to understand the interaction of the fluid dynamics and heat transfer. Computational fluid dynamics simulations and experiments were performed to analysis the 3-dimensional flow and heat transfer on the shell side of an STHE with and without baffles. Although, it was found that there was a small difference in the average exit temperature between the two cases, the heat transfer coefficient was locally enhanced in the baffled case due to flow structures. The flow in the unbaffled case was highly streamed, while for the baffled case the flow was a highly complex flow with vortex structures formed by the tip of the baffles, the tubes, and the interaction of flow with the shell wall.

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18

Barry, Matthew M. "Analytical and experimental studies of thermoelectric devices and materials." Thesis, University of Pittsburgh, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10183683.

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Interest in thermoelectric devices (TEDs) for waste-heat recovery applications has recently increased due to a growing global environmental consciousness and the potential economic benefits of increasing cycle efficiency. Unlike conventional waste-heat recovery systems like the organic Rankine cycle, TEDs are steady-state, scalable apparatus that directly convert a temperature difference into electricity using the Seebeck effect. The benefits of TEDS, namely steady-state operation and scalability, are often outweighed by their low performance in terms of thermal conversion efficiency and power output. To address the issue of poor device performance, this dissertation takes a multi-faceted approach focusing on device modeling, analysis and design and material processing.

First, a complete one-dimensional thermal resistance network is developed to analytically model a TED, including heat exchangers, support structures and thermal and electrical contact resistances. The purpose of analytical modeling is twofold: to introduce an optimization algorithm of the thermoelectric material geometry based upon the realized temperature difference to maximize thermal conversion efficiency and power output; and to identify areas within the conventional TED that can be restructured to allow for a greater temperature difference across the junction and hence increased performance. Additionally, this model incorporates a component on the numerical resolution of radiation view factors within a TED cavity to properly model radiation heat transfer. Results indicate that geometric optimization increases performance upwards of 30% and the hot-side ceramic diminishes realized temperature difference. The resulting analytical model is validated with published numerical and comparable analytical models, and serves as a basis for experimental studies.

Second, an integrated thermoelectric device is presented. The integrated TED is a restructured TED that eliminates the hot-side ceramic and directly incorporates the hot-side heat exchanger into the hot-side interconnector, reducing the thermal resistance between source and hot-side junction. A single-state and multi-stage pin-fin integrated TED are developed and tested experimentally, and the performance characteristics are shown for a wide range of operating fluid temperatures and flow rates. Due to the eliminated to thermal restriction, the integrated TED shows unique performance characteristics in comparison to conventional TED, indicating increased performance.

Finally, a grain-boundary engineering approach to material processing of bulk bismuth telluride (Bi2Te3) is presented. Using uniaxial compaction and sintering techniques, the preferred crystallographic orientation (PCO) and coherency of grains, respectively, are controlled. The effect of sintering temperature on thermoelectric properties, specifically Seebeck coefficient, thermal conductivity and electrical resistivity, are determined for samples which exhibited the highest PCO. It is shown the performance of bulk Bi2Te3 produced by the presented method is comparable to that of nano-structured materials, with a maximum figure of merit of 0.40 attained at 383 K.

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19

Vaidya, Anirudha. "Load-Displacement Relations for an Edge-Cracked Beam with a Hysteretic Bilinear Cohesive Zone Model." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1408958644.

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20

Pregnell, Kenneth Lyell, and n/a. "Retrodictive Quantum State Engineering." Griffith University. School of Science, 2004. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20041029.134933.

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This thesis is concerned with retrodiction and measurement in quantum optics. The latter of these two concepts is studied in particular form with a general optical multiport device, consisting of an arbitrary array of beam-splitters and phase-shifters. I show how such an apparatus generalizes the original projection synthesis technique, introduced as an in principle technique to measure the canonical phase distribution. Just as for the original projection synthesis, it is found that such a generalised device can synthesize any general projection onto a state in a finite dimensional Hilbert space. One of the important findings of this thesis is that, unlike the original projection synthesis technique, the general apparatus described here only requires a classical, that is a coherent, reference field at the input of the device. Such an apparatus lends itself much more readily to practical implementation and would find applications in measurement and predictive state engineering. If we relax the above condition to allow for just a single non-classical reference field, we show that the apparatus is capable of producing a single-shot measure of canonical phase. That is, the apparatus can project onto any one of an arbitrarily large subset of phase eigenstates, with a probability proportional to the overlap of the phase state and the input field. Unlike the original projection synthesis proposal, this proposal requires a binomial reference state as opposed to a reciprocal binomial state. We find that such a reference state can be obtained, to an excellent approximation, from a suitably squeezed state. The analysis of these measurement apparatuses is performed in the less usual, but completely rigorous, retrodictive formalism of quantum mechanics.
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21

Chavez, Jose O. "Notes on foundation engineering." Thesis, Kansas State University, 1985. http://hdl.handle.net/2097/9827.

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22

Pregnell, Kenneth Lyell. "Retrodictive Quantum State Engineering." Thesis, Griffith University, 2004. http://hdl.handle.net/10072/367927.

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This thesis is concerned with retrodiction and measurement in quantum optics. The latter of these two concepts is studied in particular form with a general optical multiport device, consisting of an arbitrary array of beam-splitters and phase-shifters. I show how such an apparatus generalizes the original projection synthesis technique, introduced as an in principle technique to measure the canonical phase distribution. Just as for the original projection synthesis, it is found that such a generalised device can synthesize any general projection onto a state in a finite dimensional Hilbert space. One of the important findings of this thesis is that, unlike the original projection synthesis technique, the general apparatus described here only requires a classical, that is a coherent, reference field at the input of the device. Such an apparatus lends itself much more readily to practical implementation and would find applications in measurement and predictive state engineering. If we relax the above condition to allow for just a single non-classical reference field, we show that the apparatus is capable of producing a single-shot measure of canonical phase. That is, the apparatus can project onto any one of an arbitrarily large subset of phase eigenstates, with a probability proportional to the overlap of the phase state and the input field. Unlike the original projection synthesis proposal, this proposal requires a binomial reference state as opposed to a reciprocal binomial state. We find that such a reference state can be obtained, to an excellent approximation, from a suitably squeezed state. The analysis of these measurement apparatuses is performed in the less usual, but completely rigorous, retrodictive formalism of quantum mechanics.
Thesis (PhD Doctorate)
Doctor of Philosophy (PhD)
School of Science
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23

Baxter, John. "Mechanics of granular heaps." Thesis, University of Surrey, 1998. http://epubs.surrey.ac.uk/843468/.

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The formation and evolution of heaps of granular material has in recent years received ever-increasing research attention. As with other aspects of the granular physics field, much of this attention has focused on the use of numerical simulations, including the discrete element modelling technique. Before advancements in computing technology made numerical methods a viable option, assemblies of granular materials were typically rather poorly characterised by a limited range of bulk properties, such as the angle of repose of a heap. Such properties were found to be rather insensitive to the characteristics of the individual particles and as such were of limited practical use as the basis for process design. Consequently, problems in granular materials storage, handling and flow were typically tackled using semi-empirical approaches relying on long experience of similar process situations. The availability of computing resources has resulted in the spawning of a widely diverse range of numerical simulation approaches for the solution of bulk solids handling problems. However, this development in itself has given rise to further problems. The poor characterisation of assemblies by bulk properties has made experimental confirmation of numerical simulation techniques difficult, and this is perhaps partly responsible for the injudicious use of inappropriate numerical techniques within the research community. By a systematic study of the mechanics of granular heaps using the discrete element technique, this dissertation establishes that the choice of mathematical model and model parameters at the heart of any numerical method is of crucial importance for the realistic simulation of granular assemblies. The angle of repose is established as being rather insensitive to most single particle properties. The dissertation establishes the usefulness of the granular dynamics simulation method by demonstrating how internal 'microstructural' properties of granular heaps can be computed, and examines how simulation can complement relatively new non-invasive techniques for measuring such properties experimentally. Simulation and experiment are also used as the basis for a tentative mathematical model for the kinetics of segregation and stratification processes in poured heaps.
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24

Ternovskiy, S. A. "Computer mechanics is one of the most advanced engineering professions." Thesis, Сумський державний університет, 2013. http://essuir.sumdu.edu.ua/handle/123456789/33867.

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“Computer Mechanics” is one of the most intensive and exciting majors in the field of physics and mathematics. It is accredited at our university on the highest 4-th level. Graduates receive profound knowledge in basic subjects, acquire advanced information in the applied sciences and advanced computer technology. Basic knowledge is concretized and consolidated in the study of vocational-oriented subjects. This major belongs to a limited number of particularly difficult and important professions. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/33867
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25

Gasparini, Riccardo. "Engineering Analysis in Imprecise Geometric Models." FIU Digital Commons, 2014. http://digitalcommons.fiu.edu/etd/1793.

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Engineering analysis in geometric models has been the main if not the only credible/reasonable tool used by engineers and scientists to resolve physical boundaries problems. New high speed computers have facilitated the accuracy and validation of the expected results. In practice, an engineering analysis is composed of two parts; the design of the model and the analysis of the geometry with the boundary conditions and constraints imposed on it. Numerical methods are used to resolve a large number of physical boundary problems independent of the model geometry. The time expended due to the computational process are related to the imposed boundary conditions and the well conformed geometry. Any geometric model that contains gaps or open lines is considered an imperfect geometry model and major commercial solver packages are incapable of handling such inputs. Others packages apply different kinds of methods to resolve this problems like patching or zippering; but the final resolved geometry may be different from the original geometry, and the changes may be unacceptable. The study proposed in this dissertation is based on a new technique to process models with geometrical imperfection without the necessity to repair or change the original geometry. An algorithm is presented that is able to analyze the imperfect geometric model with the imposed boundary conditions using a meshfree method and a distance field approximation to the boundaries. Experiments are proposed to analyze the convergence of the algorithm in imperfect models geometries and will be compared with the same models but with perfect geometries. Plotting results will be presented for further analysis and conclusions of the algorithm convergence
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26

Shahsavari, Hossein. "Topics in mechanics of helices." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=81567.

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This thesis treats three topics in mechanics of helices, each being covered in a separate part. The first part focuses on the determination of a spectral (i.e., frequency dependent) finite element of a helix. The helix is treated as a straight, linear elastic element, exhibiting coupling of axial with torsional responses. Explicit forms of all the coefficients of the stiffness matrix are derived and their dependencies on the frequency and the parameter describing the said coupling are plotted. In general, the growth of that parameter leads to a progressively denser occurrence of the resonances of both axial and torsional motions.
In the second part, mechanics of helically shaped elastic strands is studied. Explicit forms of four constitutive coefficients of the helix are derived according to the formulation of Costello (1990). By performing parametric studies of the derived coefficients, it is shown that the coupling coefficients relating axial with torsional responses are not in perfect agreement. Thus, the reciprocity relations dictated by the Maxwell-Betti theorem are not recovered exactly, whereby an improvement on the theory of Costello remains an open challenge.
In the third part, the viscoelastic response of the helix is studied and its constitutive differential equations are derived by assuming three specific types of viscoelastic models (Kelvin, Maxwell, or Zener) for a material at the micro level. Solutions to these constitutive differential equations are expressed for creep and relaxation behaviors of the helix. It is found that the effective viscoelastic response of the helix is generally different, and more complex in type than the material response of viscoelastic helical strands themselves.
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27

Druecke, Benjamin Charles. "Mechanics of swellable elastomeric seals." Thesis, Massachusetts Institute of Technology, 2018. http://hdl.handle.net/1721.1/115609.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2018.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged from student-submitted PDF version of thesis.
Includes bibliographical references (pages 129-134).
This thesis investigates the mechanics of swellable elastomeric seals for the purpose of hydraulic fracturing in oil and gas applications. The first component of the thesis is the development of a laboratory-scale apparatus for the visualization of swellable seals in situ up to the point of leakage. Experiments using this apparatus show that leakage is a result of large, nonuniform deformation that stretches the seal material tangential to the sealing surfaces and leads to a corresponding loss of traction normal to the sealing surfaces due to Poisson contraction. This phenomenon was investigated in two analogous seal systems - an O-ring and a rectangular swellable elastomer used to seal a rectangular channel. Both analog systems exhibit leakage due to the same mechanism. Corresponding finite element simulations predict a fluid leakage path that agrees qualitatively with experiments. The second part of this thesis consists of an experimental investigation of the eect of geometry and metal support rings on the performance of swellable seal systems. Although this work is highly applied, it reveals two interesting results. The first is that mechanical supports, in the form of rigid metal support rings, provide most of the support for the applied differential pressure. Secondly, in some seals, changing the length of the rubber part of the seal does not significantly affect the maximum differential pressure that the seal can support. Motivated by the experiments showing no dependence of critical leakage pressure on seal length, we conduct an analytic investigation of the combined effects of compressibility and aspect ratio on the performance of the seal system. We nd an approximate, linear elastic Saint-Venant type solution that agrees well with nonlinear (finite deformation neo-Hookean) finite element simulations, indicating nonlinear effects are unimportant in the bulk of the seal, and only important at the high-pressure and low-pressure ends. Using finite element simulations, we characterize the energy release rates for the growth of cracks in the regions of high stress concentration at the ends of the seal. We show that, despite the linear Saint-Venant solution not being valid at the ends, it correlates the energy release rates obtained in the nonlinear finite element solutions. Although the Saint-Venant solution enables understanding of the location where fracture will first occur, experimental observations indicate that fracture often happens on both ends of the seal. In order to understand this, we implement a user subroutine within the finite element software Abaqus to predict fracture initiation and propagation. Results indicate that, despite fracture initially occurring on either end, the growth of cracks leads to fracture on both ends of the seal, consistent with experimental observations.
by Benjamin C. Druecke.
Ph. D.
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28

Prange, Sharon M. (Sharon Marie). "Mechanics of planar periodic microstructures." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/40462.

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Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2007.
Includes bibliographical references (leaf 31).
The deformation of two-dimensional periodically patterned elastomeric sheets has been shown to trigger interesting pattern changes that are both repeatable and predictable (Bertoldi et al., 2007). Here, both square and hexagonal lattices of these sheets under axial compression are investigated both with empty voids, and also with inclusions introduced into the voids in specified patterns. A local buckling instability in the square lattice and shear instability in the hexagonal lattice trigger the change in pattern in the structure upon reaching a critical stress during compression. Experimental and numerical results are obtained that show the ability to predict and control the pattern changes that are triggered. The shape of the pattern change, the areas of the lattice in which it is triggered, and the extent to which the pattern is accentuated can all be controlled in a predictable manner. While the results here are on the millimeter length scale, they should also be applicable at the micro- and nano-scales, leading to photonic and phononic applications.
by Sharon M. Prange.
S.B.
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29

Karlin, David K. "The mechanics of coated fabrics." Thesis, Massachusetts Institute of Technology, 1986. http://hdl.handle.net/1721.1/15027.

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Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1986.
MICROFICHE COPY AVAILABLE IN ARCHIVES AND ENGINEERING
Bibliography: leaves 81-83.
by David K. Karlin.
M.S.
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30

Chen, Jing. "Mechanics of optimal rowing." Thesis, KTH, Mekanik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-38289.

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The forward dynamic approach is different from the inverse dynamic one, and could set up the relation between the angles and controls. The author tries to analyze the optimal rowing movement patterns between the catch and finish configurations in drive phase. The relation between the angles and controls is collected as a set of dynamic equilibrium equations. These equations utilize a finite element time discretization, and are solved simultaneously for the time T (Kaphle and Eriksson, 2008). Finally, the moving trajectory is obtained, and also the change of the angles and controls could be found.
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31

Lin, Gaojian. "Instability driven reconfigurable soft materials: mechanics and functionality." Diss., Temple University Libraries, 2018. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/508542.

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Mechanical Engineering
Ph.D.
Mechanical instability, a deformation mode involving abrupt switching between two distinct equilibrium structural configurations, has historically been viewed as a failure mechanism in engineering and materials science. Since the pioneering work in harnessing spontaneous buckling for surface micro-patterning in 1998, tremendous research interest has focused to utilize, rather than avoid, buckling instability in soft materials at small scale for achieving unique properties and multifunctionality. The benefit of small-scale bucking instability in soft materials and structures lies in the reversible dynamic tunability of the buckled structural or surface configuration in response to different external stimuli, which enables the coupling of structural or surface reconfiguration with dynamically tunable properties, such as mechanical, optical, wetting, and electrical properties. In this dissertation, I explore the fundamental mechanics and functionality of surface-based buckling and hierarchical wrinkling on substrates in multifunctional opto-electronic devices and smart windows. I will first explore the benefits of classical plate buckling in soft materials. The challenge lies in the intrinsic indeterminate characteristics of buckling in terms of its buckling orientation, which could lead to geometric frustration and random global structures. To address this challenge, I introduce cuts-based geometrical imperfection to guide the deterministic buckling in arrays of parallel active polymeric plates on rigid substrates. After introducing patterned cuts, the originally random phase-shifted buckling transits to a prescribed buckling with controllable phases. The design principle for cut-directed deterministic buckling in plates is revealed through both mechanics model and finite element simulation. By harnessing cut-directed buckling for controllable contacts and interactions in buckled parallel plates, I demonstrate the array of parallel plates as a multifunctional platform for selectively steering the electronic and optical pathways on demand, as well as the potential application in design of mechanical logic gates. I then explore the hierarchical wrinkling of thin films on soft substrates via sequential wrinkling for design of a potential multifunctional smart window with combined structural color and water droplet transport control. The self-similar hierarchical wrinkles with both nanoscale and microscale features are generated on a pre-strained poly(dimethylsiloxane) (PDMS) elastomer through sequential strain release and multi-step oxygen plasma treatment. I exploit the criteria for generating self-similar hierarchical wrinkles through both simplified theoretical model and experiments. I show that the hierarchically wrinkled elastomer displays both opaqueness and iridescent structural color. I further show its ability in control of water droplet transport on demand through mechanical stretching and release. I further extend the study of self-similar hierarchical wrinkling to the dynamic wetting behavior of multiscale self-similar hierarchical wrinkled surfaces on PDMS substrates through combined plasma and ultraviolet ozone (UVO) treatment. The generated surface structure shows an independently controlled dual-scale roughness with level-1 small-wavelength wrinkles resting on level-2 large-wavelength wrinkles, as well as accompanying orthogonal cracks. By tuning the geometry of hierarchical wrinkles, I explore the small degree of wetting anisotropy in hierarchical wrinkled surfaces, defined as the contact angle difference between the parallel and perpendicular directions to the wrinkle grooves through both experimental characterization (confocal fluorescence imaging) and theoretical analyses. I find that the measured larger apparent contact angle than the theoretically predicted Wenzel contact angle is attributed to the three-phase contact line pinning effect of both wrinkles and cracks, which generates energetic barriers during the contact line motion. I reveal that the observed small degree of wetting anisotropy in the hierarchical wrinkled surfaces arises from the competition between orthogonal wrinkles and cracks in the contact line pinning.
Temple University--Theses
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32

Qian, Jing. "Discrete gradient method in solid mechanics." Diss., University of Iowa, 2009. https://ir.uiowa.edu/etd/261.

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The discrete gradient method is proposed as a novel numerical tool to perform solid mechanics analysis directly on point-cloud models without converting the models into a finite element mesh. This method does not introduce continuous approximation of the primary unknown field variables; instead, it computes the gradients of the field variables at a node using discrete differentials involving a set of neighboring nodes. The discrete gradients are substituted into Galerkin weak from to derive the algebraic governing equations for further analysis. Therefore, the formulation renders a completely discrete computation that can conduct mechanical analysis on point-cloud representations of patient-specific organs without resorting to finite element method. Since the method is prone to rank-deficient instability, a stabilized scheme is developed by employing penalty that involves a minor modification to the method. The difference between nodal strain and subcell strain is penalized to prevent the appearance of zero average strain. This dissertation delineates the theoretical underpins of the method and provides a detailed description of its implementation in two and three-dimensional elasticity problem. Several benchmark numerical tests are presented to demonstrate the accuracy, convergence, and capability of dealing with compressibility and incompressibility constraint without severe locking. An efficient method is also developed to automatically extract point-cloud models from medical images. Two and three-dimensional examples of biomedical applications are presented too.
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33

Fratta, Dante. "Passive and active measurement of unique phenomena in geotechnical engineering." Diss., Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/20703.

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34

Meyers, Anthony G. "The determination of rock mass strength for engineering design /." Title page, contents and abstract only, 1993. http://web4.library.adelaide.edu.au/theses/09PH/09phm6134.pdf.

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35

Ingawale, Shirishkumar Marutirao. "Mandibular Bone Mechanics and Evaluation ofTemporomandibular Joint Devices." Wright State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=wright1418034794.

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36

Greening, Paul J. "Mechanics of rolling continuously cast stock." Thesis, Aston University, 1987. http://publications.aston.ac.uk/11898/.

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A review of published literature was made to establish the fundamental aspects of rolling and allow an experimental programme to be planned. Simulated hot rolling tests, using pure lead as a model material, were performed on a laboratory mill to obtain data on load and torque when rolling square section stock. Billet metallurgy and consolidation of representative defects was studied when modelling the rolling of continuously cast square stock with a view to determining optimal reduction schedules that would result in a product having properties to the high level found in fully wrought billets manufactured from large ingots. It is difficult to characterize sufficiently the complexity of the porous central region in a continuously cast billet for accurate modelling. However, holes drilled into a lead billet prior to rolling was found to be a good means of assessing central void consolidation in the laboratory. A rolling schedule of 30% (1.429:1) per pass to a total of 60% (2.5:1) will give a homogeneous, fully recrystallized product. To achieve central consolidation, a total reduction of approximately 70% (3.333:1) is necessary. At the reduction necessary to achieve consolidation, full recrystallization is assured. A theoretical analysis using a simplified variational principle with experimentally derived spread data has been developed for a homogeneous material. An upper bound analysis of a single, centrally situated void has been shown to give good predictions of void closure with reduction and the reduction required for void closure for initial void area fractions 0.45%. A limited number of tests in the works has indicated compliance with the results for void closure obtained in the laboratory.
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37

Chen, Lingguang. "An Effective Methodology for Suppressing Structure-Borne Sound Radiation." Thesis, Wayne State University, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10635977.

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This dissertation is primarily concerned with the development of an effective methodology for reducing structure-borne sound radiation from an arbitrarily shaped vibrating structure. There are three major aspects that separate the present methodology from all the previous ones. Firstly, it is a non-contact and non-invasive approach, which is applicable to a class of vibrating structures encountered in engineering applications. Secondly, the input data consists of a combined normal surface velocity distribution on a portion of a vibrating surface and the radiated acoustic pressure at a few field points. The normal surface velocities are measured by using a laser vibrometer over a portion of the structural surface accessible to a laser beam, while the field acoustic pressures are measured by a small array of microphones. The normal surface velocities over the rest surface of the vibrating structure are reconstructed by using the Helmholtz Equation Least Squares (HELS) method. Finally, the acoustic pressures are correlated to structural vibration by decomposing the normal surface velocity into the forced-vibro-acoustic components (F-VAC). These F-VACs are mutually orthogonal basis functions that can uniquely describe the normal surface velocity. The weightings of these F-VACs represent the relative contributions of structural vibrations into the sound radiation. This makes it possible to suppress structure-borne acoustic radiation in the most cost-effective manner simply by controlling the key F-VACs of a vibrating structure. The effectiveness of the proposed methodology for reducing structure-borne acoustic radiation is examined numerically and experimentally, and compared with those via traditional experimental modal analyses. Results have demonstrated that the proposed methodology enables one to reduce much more acoustic radiation at any selected target frequencies than the traditional approach.

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38

Roy, Matthew MacGregor. "Design and fabrication of a lightweight robotic manipulator." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ37282.pdf.

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39

Lea, Patrick D. "Fluid Structure Interaction with Applications in Structural Failure." Thesis, Northwestern University, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3605735.

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Methods for modeling structural failure with applications for fluid structure interaction (FSI) are developed in this work. Fracture as structural failure is modeled in this work by both the extended finite element method (XFEM) and element deletion. Both of these methods are used in simulations coupled with fluids modeled by computational fluid dynamics (CFD). The methods presented here allow the fluid to pass through the fractured areas of the structure without any prior knowledge of where fracture will occur. Fracture modeled by XFEM is compared to an experimental result as well as a test problem for two phase coupling. The element deletion results are compared with an XFEM test problem, showing the differences and similarities between the two methods.

A new method for modeling fracture is also proposed in this work. The new method combines XFEM and element deletion to provide a robust implementation of fracture modeling. This method integrates well into legacy codes that currently have element deletion functionality. The implementation allows for application by a wide variety of users that are familiar with element deletion in current analysis tools. The combined method can also be used in conjunction with the work done on fracture coupled with fluids, discussed in this work.

Structural failure via buckling is also examined in an FSI framework. A new algorithm is produced to allow for structural subcycling during the collapse of a pipe subjected to a hydrostatic load. The responses of both the structure and the fluid are compared to a non-subcycling case to determine the accuracy of the new algorithm.

Overall this work looks at multiple forms of structural failure induced by fluids modeled by CFD. The work extends what is currently possible in FSI simulations.

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40

Bulca, Ferhan. "The kinematics and workspace analysis of platform mechanisms /." Thesis, McGill University, 1998. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=34706.

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This thesis concerns parallel, platform mechanisms, consisting of two distal links that are connected to each other by a set of open kinematic chains, called legs. Particularly, mechanisms with redundant loops, kinematically quite challenging, are investigated. Existing methods of analysis and their shortcomings are outlined and alternatives which help to overcome them are developed.
Definitions and analyses of platform mechanisms, mobility and degree-of-freedom are reviewed. Kinematic analysis and workspace determination of platform mechanisms are thoroughly investigated.
An algebraic method, based on the functional matrix of mechanisms, as defined by Freudenstein, is applied to determine their degree of freedom (DOF). It is shown with examples that this method unambiguously yields the DOF for mechanisms where other methods fail.
The effects of extra legs, and hence, redundant loops, are discussed. The statics, differential and positional kinematics of these mechanisms are investigated. Kinematic-mapping techniques are used to analyze the constraints applied by individual legs to the platform. Current methods of workspace analysis of platform mechanisms are reviewed. A novel technique, which contains both position and orientation information, is introduced. It is shown that this method successfully treats platform mechanisms, with or without redundant loops. However, it may be computationally expensive for some mechanisms, such as spherical wrist mechanisms. An alternative technique, based on the Euler-Rodrigues parameters of a rotation, is also introduced for spherical mechanisms, of both serial and platform types.
The features of some of the methods introduced here are applied to a novel mechanism introduced elsewhere, namely, the double-tetrahedral mechanism (DTM), which it is a paradigm of closed-loop mechanisms with redundant loops.
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41

Bande, Gilbert. "A combined approach for analysis of single crystal nickel base superalloys /." Thesis, McGill University, 2001. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=37868.

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The purpose of this research is to develop a new tool for mechanical design and analysis of single crystal (SC) nickel base superalloys used in gas turbine engine components. The principle of this tool is based on the extension of the predictive models for isotropic material behavior to anisotropic materials such as SC nickel, base superalloys. This objective is achieved by combining the two main approaches used in the literature for SC materials development: the macroscopic approach and the microscopic approach. For that reason, this theory is designated as the "combined approach " (CA).
The structure of the CA theory requires two main elements: a viscoplastic model (that admits a yield function) and a slip factor. The viscoplastic model describes the behavior of the material in the macroscopic level. Conversely, the slip factor based on the crystallographic theory, accounts for the micro-slip state that dominates SC materials during deformation.
In order to determine the slip factor, a preliminary slip trace study of the crystal is established. Also to determine material constants from experimental data, a procedure has been developed to reduce the 3D basic equations into a one-dimensional form. The model has been evaluated for its predictive capability on SC material behavior including orientation dependence of the initial yielding, tension/compression asymmetry, stress-strain response, fully reversed cyclic response, creep response and relaxation response. In almost all the cases, good correlation has been observed between the predicted responses and experimental data, when available. Furthermore, it is believable that the CA can be successfully used for many other SC materials such as the body-centered-cubic (b.c.c) or the hexagonal-closed-packet (h.c.p). In view of all these results, the CA theory seems to offer the greatest promise in this regard. Limitations and future development needs are discussed.
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42

Babarutsi, Sofia. "Modelling quasi-two-dimensional turbulent shear flow." Thesis, McGill University, 1991. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=70223.

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A two-length-scale turbulence model is introduced in this thesis for the computation of quasi-two-dimensional turbulent shear flow with two distinct length scales of motion. In the model, the turbulence motions of the two distinct length scales are computed separately. The small-scale turbulence is treated as a background component locally in equilibrium while the large-scale turbulence is simulated using a second-order closure procedure. The development of the turbulent shear flows depends on the rate of energy transfer from the large-scale to the small-scale turbulence. Two mechanisms are identified to have a significant effect on the rate of this energy transfer. On one hand, the rate is reduced due to the confinement of the large-scale turbulence to two-dimensional motion, since the nonlinear energy cascade process is less efficient in two-dimensional turbulent motion. On the other hand, the rate is enhanced due to the work done by the large-scale turbulent motion against the friction forces. The energy transfer rate due to friction is derived in the model using a two-step averaging procedure, whereas the transfer rate due to nonlinear cascade process is determined using a model equation. The data from a number of experimental investigations of quasi-two-dimensional turbulent shear flows are analyzed. These data support the notion of the two-length-scale turbulence model, that (i) the maintenance of the turbulent motion depends on the transfer of energy from the large-scale turbulence to the small-scale turbulence, and (ii) the transfer rate is subjected to confinement and friction influences as specified in the model. Numerical computations are conducted using the two-length-scale model and a single-length-scale model. The results are compared with the experimental data. The two-length-scale model is superior in performance compared with the single-length-scale model, particularly in the intermediate region of the flow where both length scales of the turbule
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43

Basik, Beata-Marie. "Direct simulation Monte Carlo model of a couette flow of granular materials." Thesis, McGill University, 1990. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=60433.

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Since life-threatening natural phenomena, such as, snow avalanches and lava flows, and many industrial and agricultural material handling processes may be classified as granular flows, establishing constitutive relationships which model granular flow behaviour is of prime importance. While laboratory experiments attempting to support granular flow theory have been plagued by poor instrumentation, numerical simulations are becoming increasingly helpful in understanding the nature of these flows. The present investigation describes such a simulation developed within the framework of the Direct Simulation Monte Carlo model for rarefied gases presented in Bird (1976) and granular flow kinetic theory according to Lun, et al. (1984). More specifically, the model generates a Couette flow of smooth, inelastic, homogeneous, spherical granular particles. Two different boundary condition models are used to model the flow field's upper and lower boundaries: the Periodic Boundary Condition (PBC) model and the Finite Shear Layer (FSL) model. An essentially uniform shear flow with virtually no slip at the boundaries results from both boundary conditions. Stress and granular temperature results obtained with the PBC and FSL models for the lower range of solids fractions ($ nu < 0.3)$ compare very well with the Lun, et al. (1984) theory. At higher solids fractions, while the total stresses generated with both boundary models are in reasonable agreement with the latter theory and results from other numerical work, higher than expected streaming stresses appear to be compensating for lower than expected collisional stresses; as a result, granular temperature in this range of solids fractions proves to be higher than predicted.
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44

Zhang, Shilong. "Lumped-parameter modelling of elastically coupled bodies: Derivation of constitutive equations and determination of stiffness matrices." Diss., The University of Arizona, 1999. http://hdl.handle.net/10150/284462.

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Modelling of elastically coupled rigid bodies is an important research topic in multibody dynamics. We consider the problem of modelling what can be called flexural joints, where two essentially rigid bodies are coupled by a substantially more elastic body. For modelling general elastic couplings one would like to have generically applicable, lumped parameter, intuitive, Euclidean geometric, accurate models with desirable physical symmetries. The model constitutive equations should be easily and quickly computable. For purely elastic coupling the constitutive equations should be truly energy conservative: the configuration-wrench equations should be derivable from a potential function. Linear and angular momentum should be conserved. Quaternion-based and twist-based modelling methods are presented. The constitutive equations to calculate the configuration-wrench behavior are derived via geometric potential energy functions. Wrenches are computable given the configurations of the rigid bodies and all the stiffness matrices of the compliant element. For an arbitrary pair of elastically coupled rigid bodies there exist coincident, unique points on the bodies known as centers of stiffness at which translation and rotation are minimally coupled. At the center of stiffness there exist three sets of orthonormal principal axes and corresponding principal stiffnesses. These parameters are useful in both analysis and numerical simulation. A finite-element-based method for computing canonical stiffness parameters of elastically coupled rigid bodies is presented. The method is applied to notch hinges and Remote Center of Compliance (RCC) hinges. Standard procedures are presented on how to determine canonical stiffness parameters at the center of stiffness of a spatial compliance. Series of canonical stiffness parameters can be generated automatically using the methods provided. Key program listings are provided which can be used to duplicate the results presented.
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45

Vernon, Russell A. "Discovering optimal unit cell configurations when designing for additive manufacturing using lattice structures." Thesis, California State University, Long Beach, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10108174.

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According to Wohlers Report 2014, the worldwide 3D printing industry is now expected to grow from $3.07B in revenue in 2013 to $12.8B by 2018, and exceed $21B in worldwide revenue by 2020. With 3D printing rapidly evolving from a prototype commodity to a means to produce full production items, lattice structures are becoming of great interest due to their superior structural characteristics and lightweight nature. Within design, lattice structures have typically been defined by preset beam configurations within a cube. Certain configurations have been proven analytically to be optimal for certain load functions, but never has there been optimization performed to discover or verify the optimal lattice shapes and sizes within a predefined cubic space. By performing optimization on these cubic cells, a design guideline can be created for designers of lattice structures. In this thesis, several lattice configurations are analyzed both from a micro level (single unit cell) as well as a macro level (a simple series of unit cells). Optimization is performed with respect to stiffness and compliance to identify strategic configurations for bending, torsion, compression and tension. Only cubic base cells are analyzed (i.e. no hexagonal). Knowing optimal lattice configurations from a structural standpoint enables designers to further reduce weight and increase structural efficiencies when designing for additive manufacturing. The results of this study yield a well-defined guideline for design engineers to utilize when lattice structures are incorporated in a structural design. With this design guideline information available to design engineers, further utilization of lattice structures can be exploited by efficiently applying strategic unit cell configurations to the overall design.

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46

Hafez, Omar Mohamed. "Robust Image-Based Modeling and Simulation in Biomechanics." Thesis, University of California, Davis, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10746888.

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Image-based modeling and simulation has become an important analytic and predictive tool for patient-specific medical applications, including large-scale in silico patient studies, optimized medical device design, and custom surgical guides and implants via additive manufacturing. The pipeline for patient-specific modeling and simulation is: image acquisition, image segmentation, surface generation, mesh generation, physics-based modeling and simulation, and clinical application. This research establishes a semi-automatic workflow for these steps, which includes a novel image-based meshing tool Shabaka. The toolchain is demonstrated by modeling the mechanics of a beating human heart based on magnetic resonance imaging (MRI) data.

The Shabaka workflow ensures robust execution of each step of the pipeline. Medical images are processed and segmented using thresholding, region-growing, and manual techniques. Watertight surface meshes are extracted from image masks using a novel Voronoi-based algorithm. For scientific computing purposes, surface meshes are supplied either to tetrahedral meshing routines for conventional finite element approaches, or to a robust polyhedral mesh generation tool for a novel polyhedral finite element approach. A polyhedral finite element code is explored, that retains most of the favorable properties of conventional finite element methods, while reducing the system size by up to an order of magnitude compared to conventional techniques for the same input surface.

In conjunction with a cardiac simulation code, the workflow is utilized to model finite-deformation cardiac mechanics. A quadratic tetrahedral mesh is generated from MRI data of the human heart ventricles. The constitutive law is comprised of an incompressible orthotropic hyperelastic stress response for the myocardium, plus an electrical activation-dependent active stress for the muscle fibers. Muscle fiber orientations are generated using a rule-based approach. Electrical activation times are read from a coupled electrophysiology code. A lumped circulatory model is used to impose time-dependent ventricular volume constraints. Simulation results are presented. The same mechanics are also implemented for the polyhedral finite element mesh, and preliminary verification results are presented.

The toolchain used in performing image-based cardiac mechanics simulations makes important improvements to the speed and robustness of image-based modeling techniques. As efforts continue to mature, so too does the promise for simulation to impact and improve healthcare.

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47

Makowka, Steven Robert. "Development of a Gripping Fixture for Micro-Tensile Testing of Bonded Ceramic Dumbbells." Thesis, State University of New York at Buffalo, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10793930.

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It is proposed that both the adhesive interface geometry and the mismatch of elastic moduli influence the tensile strengths of dental bonds attaching restorative ceramics to dentin. Prior calculations indicate this to be due to peripheral interface stress singularities. A physical testing approach to examine and validate the theoretical conclusions utilizing a microtensile testing system is presented.

Considering the choice of shear versus tensile and then macro versus micro tensile testing, reasons were identified for choosing micro tensile testing. Specimen dimensions and shapes were developed to optimize the adjustment of the interface geometries and information that could be obtained therein. Here a dumbbell structure is best suited to the testing needs.

Dumbbell specimens were first fabricated using the ceramic press technique, and then mini-CNC machining. Specimens fabricated by each technique were examined, showing that the mini-CNC machining methodology was superior.

Significant problems in instrumentation were overcome by the design and fabrication of two testing fixtures: 1. A collet based design with independent upper and lower mechanical grips for each end of the dumbbell, to be used in conjunction with a loading device; 2. A screw based clamping design similar to previous jigs, using two screw clamps on V-channels connected by sliding rods. Testing revealed that the collet-based design shows the most promise because of its distributed gripping load. Further tests that can evaluate the effectiveness of this device for microtensile testing are outlined.

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Liu, Jia. "Buckling Induced Functionality in Soft Structures." Thesis, Harvard University, 2016. http://nrs.harvard.edu/urn-3:HUL.InstRepos:33493413.

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A variety of instabilities can be triggered when elastic structures are subjected to mechanical loadings. While such instabilities have traditionally been considered as a failure, a new trend is emerging in which the dramatic geometric changes induced by them are harnessed to enable new functionalities. In this thesis, I report a systematic study on the morphology and functionality changes induced by buckling in soft structures. Using a combination of theoretical, numerical and experimental analyses, I investigate the non-linear response of a variety of one dimensional, two dimensional and three dimensional systems, with particular emphasis on their stability. The results show that the deformation induced by buckling can be rather complex even if the undeformed geometry is simple. Moreover, I demonstrate that a wide range of morphologies can be obtained by carefully controlling the geometric, material and loading parameters. Such tunability may open venues for the design of structures with adaptive and switchable properties.
Engineering and Applied Sciences - Engineering Sciences
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49

Anderson, Todd Alan 1971. "Exact solution of finite geometry composite panels under transient surface loading." Thesis, The University of Arizona, 1995. http://hdl.handle.net/10150/278508.

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Abstract:
The exact three-dimensional transient solution of a multi-layer orthotropic panel subjected to transverse loading is presented. The finite geometry panel, supported by rollers, is subjected to an arbitrarily distributed surface load. Governing equations, derived from Reissner's functional, are solved by applying Fourier or Laplace transformation in time and enforcing the continuity of traction and displacement components between the adjacent layers. Material damping is incorporated into the analysis through complex material constants. The accuracy of the present analysis is established by considering a thick and thin laminate under quasi-static and transient loading, respectively. The solution of the static analysis is compared with a known exact solution and the transient analysis is compared with a finite element analysis. Transient responses of a thick laminate and a composite sandwich panel are also investigated. Material damping is found to significantly affect the transient stress and displacement fields of a laminate.
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50

Guven, Ibrahim. "A coupled finite element-boundary element method for two dimensional transient heat conduction and thermoelastic analyses." Diss., The University of Arizona, 2000. http://hdl.handle.net/10150/289183.

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Abstract:
A new algorithm for coupling boundary and finite element methods is developed for transient two dimensional heat conduction and thermoelastic analyses of regions with dissimilar materials and geometric discontinuities. Such regions are susceptible to failure initiation in electronic devices. As the component size decreases while enhancing performance, the accurate prediction of thermal and thermoelastic response of such devices is critical for achieving acceptable design. This study concerns both the conduction heat transfer and thermoelasticity. Solution to transient heat conduction equation provides the non-uniform thermal field for the thermoelastic analysis. Although the finite element method (FEM) is highly efficient and commonly used, its application with conventional elements to complex layered structures with length parameters varying in order of magnitudes leads to inaccurate and mesh dependent results. The accuracy of the results from the boundary element method (BEM) formulation, which requires computationally intensive integration schemes, is much higher than that of the FEM. This new algorithm combines the advantages of both methods while not requiring the commonly accepted iterations along the interfaces between BEM and FEM domains. The BEM part of the solution, acting as a global element, captures the singular nature of the solution variables arising from geometrical and material discontinuities and, eliminates the mesh dependency.
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