Academic literature on the topic 'Elastic and viscous stresses'

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Journal articles on the topic "Elastic and viscous stresses"

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Mosbeux, Cyrille, Till J. W. Wagner, Maya K. Becker, and Helen A. Fricker. "Viscous and elastic buoyancy stresses as drivers of ice-shelf calving." Journal of Glaciology 66, no. 258 (June 3, 2020): 643–57. http://dx.doi.org/10.1017/jog.2020.35.

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AbstractThe Antarctic Ice Sheet loses mass via its ice shelves predominantly through two processes: basal melting and iceberg calving. Iceberg calving is episodic and infrequent, and not well parameterized in ice-sheet models. Here, we investigate the impact of hydrostatic forces on calving. We develop two-dimensional elastic and viscous numerical frameworks to model the ‘footloose’ calving mechanism. This mechanism is triggered by submerged ice protrusions at the ice front, which induce unbalanced buoyancy forces that can lead to fracturing. We compare the results to identify the different roles that viscous and elastic deformations play in setting the rate and magnitude of calving events. Our results show that, although the bending stresses in both frameworks share some characteristics, their differences have important implications for modeling the calving process. In particular, the elastic model predicts that maximum stresses arise farther from the ice front than in the viscous model, leading to larger calving events. We also find that the elastic model would likely lead to more frequent events than the viscous one. Our work provides a theoretical framework for the development of a better understanding of the physical processes that govern glacier and ice-shelf calving cycles.
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Mukherjee, Animesh, P. R. Sengupta, and Lokenath Debnath. "Surface waves in higher order visco-elastic media under the influence of gravity." Journal of Applied Mathematics and Stochastic Analysis 4, no. 1 (January 1, 1991): 71–82. http://dx.doi.org/10.1155/s1048953391000047.

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Based upon Biot's [1965] theory of initial stresses of hydrostatic nature produced by the effect of gravity, a study is made of surface waves in higher order visco-elastic media under the influence of gravity. The equation for the wave velocity of Stonely waves in the presence of viscous and gravitational effects is obtained. This is followed by particular cases of surface waves including Rayleigh waves and Love waves in the presence of viscous and gravity effects. In all cases the wave-velocity equations are found to be in perfect agreement with the corresponding classical results when the effects of gravity and viscosity are neglected.
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Kravtsov, Andrii, Anastasiia Suska, Abliatif Biekirov, and Dmytro Levkin. "Development of a rheological model of stress relaxation in the structure of an oil film on the friction surface with fullerene additives." Eastern-European Journal of Enterprise Technologies 3, no. 7 (111) (July 1, 2021): 93–99. http://dx.doi.org/10.15587/1729-4061.2021.235468.

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A rheological model of stress relaxation in a thin lubricant film, which is formed on the friction surface under the influence of the force field of the friction surface in the presence of fullerene compositions in lubricants, was developed. Analysis of the model made it possible to establish that the existence of elastic or viscous properties in surface structures depends on the ratio of two parameters. This is the time of stress relaxation in the structure on spots of actual contact and the duration of stress action on these spots, which is termed the lifetime of an actual contact spot. It was shown that an increase in the sliding rate reduces the time of relaxation of stresses in the surface structure. This is due to the destruction of aggregates in the structure of gel and the appearance of rotational movements of separate units ‒ flocs. An increase in the load on the tribosystem significantly increases the value of relaxation time. This is due to squeezing the viscous component out of the structure of a surface film. It was established that if the relaxation time exceeds the duration of actions of stresses on actual contact spots, the structure of a surface film behaves like an elastic solid. Conversely, if relaxation time becomes shorter than the duration of stress action, the film behaves like a viscous medium. Theoretically, it was shown that in the range of sliding and loading rates, when a film behaves like an elastic solid, a decrease in stresses on actual contact spots does not exceed the values of 1.1‒22.8 %. This property provides the bearing capacity of a film. The development of the model will make it possible to simulate elastic and viscous properties of "stitched" structures and substantiate the rational concentrations of additives to lubricants, as well as the ranges of their use.
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ARDEKANI, A. M., V. SHARMA, and G. H. McKINLEY. "Dynamics of bead formation, filament thinning and breakup in weakly viscoelastic jets." Journal of Fluid Mechanics 665 (December 6, 2010): 46–56. http://dx.doi.org/10.1017/s0022112010004738.

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The spatiotemporal evolution of a viscoelastic jet depends on the relative magnitude of capillary, viscous, inertial and elastic stresses. The interplay of capillary and elastic stresses leads to the formation of very thin and stable filaments between drops, or to ‘beads-on-a-string’ structure. In this paper, we show that by understanding the physical processes that control different stages of the jet evolution it is possible to extract transient extensional viscosity information even for very low viscosity and weakly elastic liquids, which is a particular challenge in using traditional rheometers. The parameter space at which a forced jet can be used as an extensional rheometer is numerically investigated by using a one-dimensional nonlinear free-surface theory for Oldroyd-B and Giesekus fluids. The results show that even when the ratio of viscous to inertio-capillary time scales (or Ohnesorge number) is as low as Oh ~ 0.02, the temporal evolution of the jet can be used to obtain elongational properties of the liquid.
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Johnson, A. R., A. Tessler, and M. Dambach. "Dynamics of Thick Viscoelastic Beams." Journal of Engineering Materials and Technology 119, no. 3 (July 1, 1997): 273–78. http://dx.doi.org/10.1115/1.2812256.

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A viscoelastic higher-order thick beam finite element formulation is extended to include elastodynamic deformations. The material constitutive law is a special differential form of the Maxwell solid, which employs viscous strains as internal variables to determine the viscous stresses. The total time-dependent stress is the superposition of its elastic and viscous components. In the constitutive model, the elastic strains and the conjugate viscous strains are coupled through a system of first-order ordinary differential equations. The use of the internal strain variables allows for a convenient finite element formulation. The elastodynamic equations of motion are derived from the virtual work principle. Computational examples are carried out for a thick orthotropic cantilevered beam. Relaxation, creep, relaxation followed by free damped vibrations, and damping related modal interactions are discussed.
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Elbaz, S. B., and A. D. Gat. "Axial creeping flow in the gap between a rigid cylinder and a concentric elastic tube." Journal of Fluid Mechanics 806 (October 10, 2016): 580–602. http://dx.doi.org/10.1017/jfm.2016.587.

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We examine transient axial creeping flow in the annular gap between a rigid cylinder and a concentric elastic tube. The gap is initially filled with a thin fluid layer. We employ an elastic shell model and the lubrication approximation to obtain governing equations for the elastohydrodynamic interaction. At long axial length scales viscous forces are balanced by elastic tension, while at shorter length scales the viscous–elastic balance is achieved by means of an interplay between elastic bending, tension and shear stresses. Based on a viscous gravity current analogy in the tensile–viscous regime, we devise propagation laws for displacement flows which are induced by a variety of boundary conditions and examine different limits of the prewetting thickness. Next we focus on the moving elastohydrodynamic contact line at the edge of a penetrating film. A uniform matched asymptotic solution connecting the interior tension-based region with a boundary layer region near the propagation front is presented. Finally, a constructive example is shown in which isolated moving deformation patterns are created and superimposed to form a travelling wave displacement field. The presented interaction between viscosity and elasticity may be applied to fields such as soft robotics and micro-scale or larger swimmers by allowing for the time-dependent control of an axisymmetric compliant boundary.
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Sakim, Anas, Mohamed Nabhani, and Mohamed El Khlifi. "Viscous shear effect in non-Newtonian lubrication of finite porous elastic bearings." Industrial Lubrication and Tribology 71, no. 3 (April 8, 2019): 374–80. http://dx.doi.org/10.1108/ilt-07-2018-0292.

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Purpose The purpose of this study is to investigate the viscous shear effect on finite porous elastic journal bearings lubricated with non-Newtonian couple stress fluid. Design/methodology/approach Based on Stokes micro-continuum mechanics, the modified Reynolds equation including bearing deformation was derived. The porous flow was modeled by the complete Darcy–Brinkman equation. To show the viscous shear effects, bearing characteristics including load capacity and friction factor are compared to those obtained from Darcy model with Beavers–Joseph slip conditions (slip flow model [SFM]) by developing a computer program and discussed for different couple stress values, permeabilities and elastic deformation parameters. Findings It is found that the viscous shearing forces effects of the Brinkman model increase the load capacity and friction factor compared to those derived using SFM. Moreover, the couple stresses increase the load capacity while decreasing the friction factor for both models. Originality/value This study introduces for the first time the viscous effect on finite porous elastic journal bearings lubricated with couple stress fluid.
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Remišová, Eva, Viera Zatkaliková, and František Schlosser. "Study of Rheological Properties of Bituminous Binders in Middle and High Temperatures." Civil and Environmental Engineering 12, no. 1 (May 1, 2016): 13–20. http://dx.doi.org/10.1515/cee-2016-0002.

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Abstract The bitumen binders in road pavements are exposed traffic loading effect at different climatic conditions. A resistance to these stresses depends on bitumen properties as well. The paper presents rheological properties (G*, δ, ν*) determined and compared for four bituminous binders (unmodified and polymer modified bitumen) at temperature 46 – 60 (80) °C and dynamic viscosity at temperature 130 – 190 °C (Brookfield viscometer). On the basis of viscosity results it is possible to set optimal production and compaction temperatures. Elastic and viscous behavior of binder in the middle temperature is determined in rheometers. The higher value of complex modulus, the stiffer bitumen binder is able to resist deformation. The greater content of elastic components (e.g. polymer in bitumen) varies mainly elastic-viscous properties of primary bitumen.
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Rehbinder, G., and P. A. Yakubenko. "Displacement and flexural stresses of a loaded elastic plate on a viscous liquid." Journal of Geophysical Research: Solid Earth 104, B5 (May 10, 1999): 10827–39. http://dx.doi.org/10.1029/1998jb900065.

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Ju, D. Y., and H. Y. Zhao. "Optimum process conditions based on stresses distribution and crack formation for twin roll strip casting." Journal de Physique IV 120 (December 2004): 457–65. http://dx.doi.org/10.1051/jp4:2004120052.

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To keep steady casting production for strip casting, not only control of cooling and solidification but also stresses and crack formation should be taken into consideration. In order to compute the thermal mechanical stresses and susceptibility of the material to crack during strip casting process, a coupled finite element simulation on temperature, solidification and inelastic deformation was carried out based on a unified viscous fluid model including elastic, visco-plastic deformation, thermal expansion and dilatation due to solidification. The distribution of temperature and stresses on strip surface and in nip zone was analyzed under various casting speeds. Crack formation possibility index of casting strip at different positions and process conditions was obtained by a principal stress crack model. The weakest positions and dangerous direction subjected to crack are predicted. Effect of casting speeds on stress distribution and crack formation was clarified and the optimum casting process was discussed on this basis.
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Dissertations / Theses on the topic "Elastic and viscous stresses"

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Rahemi, Hossein. "Thermal fracture service life analysis of a case bonded visco-elastic cylinder." Diss., This resource online, 1992. http://scholar.lib.vt.edu/theses/available/etd-06062008-172155/.

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Khomenko, Maria. "Viscous fluid instabilities under an elastic sheet." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/23813.

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This thesis considers the flow of thin fluid film between an elastic sheet and a rigid plane. We derive a mathematical model for the flow from the Navier-Stokes equations using the lubrication approximation and develop numerical and similarity solutions to this problem. An experimental apparatus was developed to investigate this phenomenon, and the results of the mathematical model were compared with experimental data. Chapter 3 examines the evolution of a fixed fluid volume under gravitational forces on a horizontal plane. The evolution of the fluid mass profile and the progression of the fluid front are determined from the numerical solutions, as well as experimentally. The favourable comparison between the numerical solutions and the experimental results establishes the validity of the model. Chapters 4-5 considers the evolution of a thin fluid flow under an elastic on an inclined plane. We establish a traveling wave solution for this flow. A linear stability analysis yields the criterion for the existence of unstable modes and establishes the growth rate and wavelength of the most unstable mode. Instability is promoted by increasing the inclination of the plane. For low angles, the numerical and experimental growth rates were in good agreement, while the wavelengths were experimentally of the same order and numerically computed wavelengths had little variation. The long term behaviour of the fluid front is studied analytically via a similarity solution in Chapter 6.
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Peer, Andreas [Verfasser], and Matthias [Akademischer Betreuer] Teschner. "Implicit SPH formulations for viscous fluids and elastic solids." Freiburg : Universität, 2019. http://d-nb.info/1188195956/34.

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Djabella, Hocine. "Finite element analysis of elastic stresses in coated surfaces." Thesis, University of Salford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.334019.

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Lev, Einat. "Elastic and viscous anisotropy in Earth's mantle : observations and implications." Thesis, Massachusetts Institute of Technology, 2009. http://hdl.handle.net/1721.1/52764.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences, 2009.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Includes bibliographical references (p. 123-137).
In this thesis I address the topic of anisotropy - the directional dependence of physical properties of rocks - from two complementary angles: I use seismic anisotropy to detect deformation in the mantle, and I demonstrate the importance of accounting for rheological anisotropy in mantle flow models. The observations of seismic anisotropy in the Earth's interior allow geophysicists to probe the direction and mechanism of deformation, through the detection of lattice- and shapepreferred orientation and the derived elastic anisotropy. I capitalized upon this property when I investigated the deformation of the mantle underneath Eastern Tibet and compared it to the surface and crustal deformation. This work revealed an intriguing regional variation, hinting a change from north to south in the processes controlling the deformation of this complex region. Preferred orientations in rocks can change the rheology and lead to anisotropy of viscosity, a property often ignored in geodynamical modeling. I included anisotropic viscosity in a number of test flow models, including a model of shear in the upper mantle due to plate motion, a model of buoyancy-driven instabilities, and a model of flow in the mantle wedge of subduction zones. My models revealed that anisotropic viscosity leads to substantial changes in all the flows I examined. In the upper mantle beneath a moving plate, anisotropic viscosity can lead to localization of the strain and the extend of power-law creep in the upper mantle.
(cont.) In the presence of anisotropic viscosity, the wavelength of density instabilities varies by the orientation of the anisotropy. The thermal structure and melt production of the subduction zone mantle wedge changes when anisotropic viscosity is accounted for. It is thus crucial that geodynamical flow models are self consistent and account for anisotropic viscosity.
by Einat Lev.
Ph.D.
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Dansereau, Véronique. "Un modèle Maxwell-élasto-fragile pour la déformation et dérive de la banquise." Thesis, Université Grenoble Alpes (ComUE), 2016. http://www.theses.fr/2016GREAU003/document.

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De récentes analyses statistiques de données satellitales et de bouées dérivantes ont révélé le caractère hautement hétérogène et intermittent de la déformation de la banquise Arctique, démontrant de ce fait que le schéma rhéologique visco-plastique utilisé traditionnellement en modélisation climatique et opérationnelle ne simule pas adéquatement le comportement dynamique des glaces ainsi que les efforts mécaniques en leur sein.Un cadre rhéologique alternatif, baptisé "Maxwell-Élasto-Fragile" (Maxwell-EB) est donc développé dans le but de reproduire correctement la dérive et la déformation des glaces dans les modèles continus de la banquise à l'échelle régionale et globale. Le modèle se base en partie sur un cade de modélisation élasto-fragile utilisé pour les roches et la glace. Un terme de relaxation visqueuse est ajouté à la relation constitutive d'élasticité linéaire ainsi qu'une viscosité effective, ou "apparente", laquelle évolue en fonction du niveau d'endommagement local du matériel simulé, comme son module d'élasticité. Ce cadre rhéologique permet la dissipation partielle des contraintes internes par le biais de déformations permanentes, possiblement grandes, le long de failles (ou "leads") lorsque le matériel est fortement endommagé ainsi que la conservation de la mémoire des contraintes associées aux déformations élastiques dans les zones où le matériel reste relativement peu endommagé.The schéma numérique du modèle Maxwell-EB est basé sur des méthodes de calcul variationnel et par éléments finis. Une représentation Eulérienne des équations du mouvement est utilisée et des méthodes dites Galerkin discontinues sont implémentées pour le traitement des processus d'advection.Une première série de simulations idéalisées et sans advection est présentée, lesquelles démontrent que la rhéologie Maxwell-Élasto-Fragile reproduit les caractéristiques principales du comportement mécanique de la banquise, c'est-à-dire la localisation spatiale, l'anisotropie et l'intermittence de la déformation ainsi que les lois d'échelle qui en découlent. La représentation adéquate de ces propriétés de la déformation se traduit par la présence de très forts gradients au sein des champs de contrainte, de déformation et du niveau d'endommagement simulés par le modèle. Des tests visant à évaluer la diffusion numérique découlant de l'advection de ces gradients extrêmes ainsi qu'à identifier certaines contraintes numériques du modèle sont ensuite présentés. De premières simulations en grandes déformations, incluant les processus d'advection, sont réalisées, lesquelles permettent une comparaison aux résultats d'une expérience de Couette annulaire sur de la glace fabriquée en laboratoire. Le modèle reproduit en partie le comportement mécanique observé. Par ailleurs, les différences entre les résultats des simulations et ceux obtenus en laboratoire permettent d'identifier certaines limitations, numériques et physiques, du modèle en grandes déformations. Finalement, le modèle rhéologique est utilisé pour modéliser la dérive et la déformation des glaces à l'échelle de la banquise Arctique. Des simulations idéalisées de l'écoulement de glace dans un chenal étroit sont présentées. Le modèle simule une propagation localisée de l'endommagement, définissant des failles en forme d'arche, et la formation de ponts de glace stables
In recent years, analyses of available ice buoy and satellite data have revealed the strong heterogeneity and intermittency of the deformation of sea ice and have demonstrated that the viscous-plastic rheology widely used in current climate models and operational modelling platforms does not simulate adequately the drift, deformation and mechanical stresses within the ice pack.A new alternative rheological framework named ''Maxwell-Elasto-Brittle” (Maxwell-EB) is therefore developed in the view of reproducing more accurately the drift and deformation of the ice cover in continuum sea ice models at regional to global scales. The model builds on an elasto-brittle framework used for ice and rocks. A viscous-like relaxation term is added to a linear-elastic constitutive relationship together with an effective viscosity that evolves with the local level of damage of the material, like its elastic modulus. This framework allows for part of the internal stress to dissipate in large, permanent deformations along the faults/leads once the material is highly damaged while retaining the memory of small, elastic deformations over undamaged areas. A healing mechanism is also introduced, counterbalancing the effects of damaging over large time scales.The numerical scheme for the Maxwell-EB model is based on finite elements and variational methods. The equations of motion are cast in the Eulerian frame and discontinuous Galerkin methods are implemented to handle advective processes.Idealized simulations without advection are first presented. These demonstrate that the Maxwell-EB rheological framework reproduces the main characteristics of sea ice mechanics and deformation : the strain localization, the anisotropy and intermittency of deformation and the associated scaling laws. The successful representation of these properties translates into very large gradients within all simulated fields. Idealized numerical experiments are conducted to evaluate the amount of numerical diffusion associated with the advection of these extreme gradients in the model and investigate other limitations of the numerical scheme. First large-deformation simulations are carried in the context of a Couette flow experiment, which allow a comparison with the result of a similar laboratory experiment performed on fresh-water ice. The model reproduces part of the mechanical behaviour observed in the laboratory. Comparison of the numerical and experimental results allow identifying some numerical and physical limitations of the model in the context of large-deformation and laboratory-scale simulations. Finally, the Maxwell-EB framework is implemented in the context of modelling the drift and deformation of sea ice on geophysical scales. Idealized simulations of the flow of sea ice through a narrow channel are presented. The model simulates the propagation of damage along arch-like features and successfully reproduces the formation of stable ice bridges
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Keene, Frank W. "Thermal stresses in closed spherical shells /." Online version of thesis, 1991. http://hdl.handle.net/1850/11039.

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Rashid, Asim. "MINIMIZING CONTACT STRESSES IN AN ELASTIC RING BY RESPONSE SURFACE OPTIMIZATION." Thesis, Högskolan i Jönköping, Tekniska Högskolan, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-13023.

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Horne, Graeme Christopher Milligan. "Elastic follow-up and the interaction between applied and residual stresses." Thesis, University of Bristol, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.650098.

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This dissertation considers the characterisation of the relaxation of residual stress in a component resulting from plasticity induced by externally applied loads with the elastic follow-up factor. Residual stresses are the result of an incompatibility of displacements or strains within a component, i.e. a misfit. However, elastic material surrounding the non-linearly deforming region results in the region experiencing loading conditions between the extremes of fixed-load and fixed-displacement conditions. This is known as elastic follow-up. Greater elastic follow-up, i.e. more compliance in the surrounding material, decreases the relaxation of residual stress with plasticity. An idealised residual stress model was developed to determine the residual component of load acting on a fracture specimen, as a function of the applied component of load, through the plasticity resulting from the total load on the specimen. The effect of elastic follow-up is shown on the rate of residual stress relaxation, additional plastic strain accumulation and the J-integral. The results from the model are compared with the existing and proposed R6 methodology. In general, the existing approach was found to be overly conservative with negligible elastic follow-up, reduced with the g-function approach, otherwise they were reasonably intolerant of elastic follow-up. The recently proposed relaxation equation showed a good agreement with the model for all levels of elastic follow-up. An experiment is presented to characterise the elastic follow-up associated with an idealised one-dimensional residual stress field. It is shown that the elastic follow-up factor is a function of the reduction in eigenstrain or misfit, rather than the increase in plasticity alone, for the associated reduction in residual stress. The rate of relaxation of residual stresses in a component is dependent on the eigenstrain, geometry and post-yield behaviour of the material. It cannot be uniquely described by the elastic follow-up factor as the rate of relaxation is also dependent on the position of all non-linear deformation in the body. Therefore the elastic follow-up factor is position-, loading- and defect-specific.
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Verma, Navin Prakash. "Viscous Dampers for Optimal Reduction in Seismic Response." Thesis, Virginia Tech, 2001. http://hdl.handle.net/10919/43716.

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To model dissipation of energy in vibrating civil structures, existence of viscous damping is commonly assumed primarily for mathematical convenience. In such a classical damper, the damping force is assumed to depend only on the velocity of deformation. Fluid viscous dampers that provide this type of damping have been manufactured to provide supplementary damping in civil and mechanical systems to enhance their performance. Some fluid dampers, however, exhibit stiffening characteristics at higher frequencies of deformation. The force deformation relationship of such dampers can be better represented by the Maxwell model of visco-elasticity. This model consists of a viscous dashpot in series with a spring, the latter element providing the stiffening characteristics. This study is concerned with the optimal utilization of such Maxwell dampers for seismic performance improvement of civil structures. The force deformation relationship of Maxwell dampers is described by a first order differential equation. Earlier studies dealing with these dampers, used an unsymmetric set of equations for combined structure and damper system. The solution of such equations for response analysis or for optimization calculation by a modal analysis approach would require the pair of the left and right eigenvectors. In this study, an auxiliary variable is introduced in the representation of a Maxwell damper to obtain symmetric equations of motion for combined structure and damper system. This eliminates the need for working with two sets of eigenvectors and their derivatives, required for optimal analysis. Since the main objective of installing these dampers is to reduce the structural response in an optimal manner, the optimization problem is defined in terms of the minimization of some response-based performance indices. To calculate the optimal parameters of dampers placed at different location in the structure, Rosen's gradient projection method is employed. For numerical illustration, a 24-story shear building is considered. Numerical results are obtained for seismic input defined by a spectral density function; however, the formulation permits direct utilization of response spectrum-based description of design earthquake. Three different performance indices -- inter story drift-based, floor acceleration-based, and base shear-based performance indices-- have been considered to calculate the numerical results. A computational scheme is presented to calculate the amount of total damping required to achieve a desired level of response reduction. The effect of ignoring the stiffening effect at higher frequencies in the Maxwell model on the optimal performance is evaluated by parametric variation of relaxation time coefficient. It is observed that the models with higher relaxation time parameter show a decreased response reducing damping effect. Thus ignoring the stiffening effect when it is, indeed, present would provide an unconservative estimation of the damping effect. The effect of brace flexibilities on different performance indices is also investigated. It is observed that flexibility in a brace reduces the effectiveness of the damper.
Master of Science
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Books on the topic "Elastic and viscous stresses"

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Pasechnik, Sergey V. Liquid crystals: Viscous and elastic properties. Weinheim: Wiley-VCH, 2009.

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Can, Nguyen Van. Rozkład napre̜żeń i odkształceń w górotworze lepkospre̜żystym, wywołany obcia̜żeniem dynamicznym: Distributions of stresses and strains in the visco-elastic rock mass caused by the dynamic loading. Kraków: Wydawnictwo AGH, 1990.

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M, Gere James, ed. Theory of elastic stability. Mineola, N.Y: Dover Publications, 2009.

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Crews, John H. Factors influencing elastic stresses in double cantilever beam specimens. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1987.

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Bielski, W. Nonstationary flows of viscous fluids through porous elastic media: Homogenization method. Warszawa: Institute of Geophysics, Polish Academy of Sciences, 2005.

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Verderaime, V. Plate and butt-weld stresses beyond elastic limit, material and structural modeling. Marshall Space Flight Center, Ala: George C. Marshall Space Flight Center, 1991.

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1932-, Carlsson Janne, ed. Weight functions and stress intensity factor solutions. Oxford: Pergamon Press, 1991.

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Szabo, B. A. Solution of elastic-plastic stress analysis probems by the p-version of the finite element method. St, Louis, Mo: Center for Computational Mechanics, Washington University, 1993.

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Szabo, B. A. Solution of elastic-plastic stress analysis problems by the p-version of the finite element method. St. Louis, Mo: Center for Computational Mechanics, Washington University, 1993.

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Szabo, B. A. Solution of elastic-plastic stress analysis probems by the p-version of the finite element method. St, Louis, Mo: Center for Computational Mechanics, Washington University, 1993.

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Book chapters on the topic "Elastic and viscous stresses"

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Holzapfel, Gerhard A. "Structural and Numerical Models for the (Visco)elastic Response of Arterial Walls with Residual Stresses." In Biomechanics of Soft Tissue in Cardiovascular Systems, 109–84. Vienna: Springer Vienna, 2003. http://dx.doi.org/10.1007/978-3-7091-2736-0_4.

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Kulikovskii, A., and E. Sveshnikova. "Viscous-Elastic Medium Motion." In Nonlinear Waves in Elastic Media, 175–202. Boca Raton: CRC Press, 2021. http://dx.doi.org/10.1201/9781003210474-8.

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Biswas, Paritosh, and Rekha Kahali. "Shells, Elastic Foundation." In Encyclopedia of Thermal Stresses, 4356–66. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-2739-7_293.

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Verruijt, Arnold. "Elastic Stresses and Deformations." In An Introduction to Soil Mechanics, 213–17. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61185-3_26.

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Polizzotto, Castrenze, and Guido Borino. "Nonlocal Elastic-Damage Models." In Encyclopedia of Thermal Stresses, 3388–405. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-2739-7_676.

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Biswas, Paritosh, and Rekha Kahali. "Plates on Elastic Foundation." In Encyclopedia of Thermal Stresses, 3948–53. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-2739-7_186.

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Fazelzadeh, Seyyed Ahmad, Piergiovanni Marzocca, and Mohammad Hosseini. "Fluid-Thermo-Elastic and Aero-Thermo-Elastic Governing Equations for FGM Structures." In Encyclopedia of Thermal Stresses, 1693–700. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-2739-7_871.

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Grinchenko, Viktor T. "Finite Elastic Solids, Thermal Stress." In Encyclopedia of Thermal Stresses, 1600–1604. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-2739-7_610.

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Pfeiffer, W., R. Prümmer, and E. Reisacher. "The X-Ray Elastic Constants of Alumina -Influence of Elastic Anisotropy." In International Conference on Residual Stresses, 347. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-1143-7_57.

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Nappa, Ludovico. "Thermal Stresses in Microstretch Elastic Cylinders." In Encyclopedia of Thermal Stresses, 5403. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-2739-7_779.

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Conference papers on the topic "Elastic and viscous stresses"

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Mukai, Nobuhiko, Ren Morooka, Takuya Natsume, and Youngha Chang. "Viscoelastic Fluid Simulation based on the Combination of Viscous and Elastic Stresses." In 11th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. SCITEPRESS - Science and Technology Publications, 2021. http://dx.doi.org/10.5220/0010615901720178.

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Mukai, Nobuhiko, Ren Morooka, Takuya Natsume, and Youngha Chang. "Viscoelastic Fluid Simulation based on the Combination of Viscous and Elastic Stresses." In 11th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. SCITEPRESS - Science and Technology Publications, 2021. http://dx.doi.org/10.5220/0010615900002995.

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Abe, Akihisa. "Numerical Study on Shock Wave Profiles in 6061-T6 Aluminum Using Shock Viscous Stresses." In ASME 2002 Engineering Technology Conference on Energy. ASMEDC, 2002. http://dx.doi.org/10.1115/etce2002/cmda-29075.

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In order to accurately predict particle velocity profiles of steady shock wave fronts propagating in solid materials, a new numerical calculation method was proposed. The present method was based on one-dimensional Lagrangian finite difference wave code, and shock viscous stresses evaluated theoretically were introduced into the present numerical code. The shock viscous stress that is one of the important parameters to shape the rising profile of the shock wave front was calculated by the inside temperature estimate method for the steady shock wave fronts. The present calculation method was applied to the uniaxial strain problem of 6061-T6 aluminum at some stress levels below 8.86 GPa, where the elastic and plastic steady shock waves will appear. The results of the present calculation could reproduce more accurately the experimental data measured by the velocity interferometer system (VISAR). In addition, the present calculation was applied to a shock stress level of 20 GPa to investigate the shock viscous effects in the overdriven shock wave rising profile.
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Xu, Changxue, Zhengyi Zhang, Yong Huang, and Heqi Xu. "Phase Diagram of Pinch-Off Behaviors During Drop-on-Demand Inkjetting of Alginate Solutions." In ASME 2019 14th International Manufacturing Science and Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/msec2019-2915.

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Abstract Viscoelastic polymer solutions have been extensively utilized in drop-wise manufacturing (such as inkjet printing) for a variety of biomedical applications. The pinch-off of viscoelastic jets is a key step towards generation of droplets in inkjet printing. This complex process is governed by interplay of four stresses including inertial stress, capillary stress, viscous stress, and elastic stress. Depending on polymer solution properties and process conditions, four types of pinch-off phenomenon were observed during inkjetting of viscoelastic alginate solutions. In this study, material properties of alginate solutions with different concentrations have been characterized, and three dimensionless numbers (Ohnesorge number Oh, Deborah number De and Weber number We) have been proposed to analyze different pinch-off behaviors. Phase diagram in terms of these three dimensionless numbers has been constructed to classify the regimes for different pinch-off types during inkjetting of viscoelastic alginate solutions. It is found that: 1) At low De and Oh, the viscoelastic effect is small. The capillary stress is mainly balanced by the inertial stress, resulting in front pinching. 2) At medium De and low Oh, the capillary stress is still mainly balanced by the inertial stress, but the elastic effect starts to show its effect by delaying the ligament thinning near the front-pinching location. With the increase of We, the pinch-off type may change from front pinching to hybrid pinching to exit pinching. 3) At low Oh and high De, the viscous and inertial effects are small. The capillary stress is mainly balanced by the elastic stress, resulting in exit pinching. 4) At high Oh and De, the viscoelastic effect is dominant. The capillary stress is mainly balanced by the viscous and elastic stresses. With the increase of We, middle pinching turns to be exit pinching due to the increase of the initial ligament diameter near the forming droplet.
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Lund, Benjamin, Maria Brown, Mary Jennerjohn, Phil Ligrani, and Arshia Fatemi. "Elastic Turbulence Effects on the Performance of a Miniature Viscous Disk Pump." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52596.

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Within the present investigation, a miniature viscous disk pump (VDP) is utilized to characterize and quantify non-Newtonian fluid elastic turbulence effects, relative to Newtonian flow behavior. Such deviations from Newtonian behavior are induced by adding polyacrylamide to purified water. The VDP consists of a 10.16 mm diameter disk that rotates above a C-shaped channel with inner and outer radii of 1.19 mm, and 2.38 mm, respectively. A channel depth of 230 μm is employed. Fluid inlet and outlet ports are located at the ends of the C-shaped channel. Within the present study, experimental data are given for rotational speeds of 1200–3500 rpm, pressure rises of 0 to 700 Pa, and flow rates up to approximately 0.00000007 m3/sec. As such, the overall intent is enhancement of fundamental understanding of the associated physical processes associated with elastic turbulence, as it is induced in liquids by polymers subject to stretching and constriction by flow strain. Different amounts of flow strain are induced by changing the rotational speed of the disc. As rotational speed increases, overall magnitudes of flow strain increase, and the polymer strings become locally more agitated. The result is growth in the local elastic stress, and development of the Weissenberg instability as the Weissenberg number increases. Overall consequences include increased mixing, increased transport levels, and larger static pressure rise magnitudes. Also considered are changes to effective viscosity from the presence of elastic turbulence.
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Hormozi, S., D. M. Martinez, I. A. Frigaard, and D. Grecov. "Experimental Studies of Visco-Elastic Flow Using Visco-Plastic Lubricant." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-37940.

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Multi-layer shear flows of viscous fluids are frequently vulnerable to interfacial instabilities. In the case of a duct flow, it is known that use of a yield stress fluid as the lubricating fluid, coupled with maintaining a plug region at the interface, can lead to flows that are hydrodynamically stable: linearly and nonlinearly, both theoretically and in laboratory experimental studies; see [1],[2], and [3]. Whether the same technique is effective in stabilizing multi-layer duct flows with a visco-elastic core fluid is unknown and also relevant to many potential applications. In this paper we provide an experimental study by using viscoelastic fluid (Polyethylene Oxide solution) in the core region and visco-plastic fluid (Carbopol Solution) with yield stress as lubricant. The experiments have been carried out in axisymmetric configuration with different size of inner pipes. Via control of the individual fluid flow rates, it is also possible to vary the inner fluid radius over a significant range, which suggests utility for various industrial processes.
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Beyerlein, Irene J. "Influence of Multiple Fiber Breaks on Stresses in a Fiber Composite With a Creeping Matrix." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-1175.

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Abstract In this work, the influence of pre-existing fiber breaks on the local creep response of a planar unidirectional fiber composite under steady axial tension is investigated. Shear deformation of the Newtonian viscous matrix material or interface is assumed to dominate the creep response and result in time and temperature induced fiber failures. The recently developed computational mechanics technique, called viscous break interaction (VBI), is used to compute the time-dependent stress and strain redistributions in the fibers and matrix in response to large numbers of transversely aligned and staggered fiber breaks. In VBI, the key influence function in response to one fiber break is built on shear-lag theory, and when employing weighted superposition concepts to this function, the stress fields around multiple breaks is then calculated. The results uncover distinctions in the stress redistribution between large numbers of aligned breaks, e. g. transverse cracks and a finite and infinite periodic row of short cracks, versus a large process zone of staggered (misaligned) breaks. The results also show how both the time growing interactions and spatial arrangement and size of several close breaks influence local matrix creep rate, fiber tensile stress redistribution, and macroscopically, the timescales of multiple creep stages in overall composite strain. In the present application of the VBI technique, the composite model is representative of polymer matrix composites and also ceramic composites with a viscous secondary phase at elevated temperatures. For these systems, the model assumes the reinforcement is the primary load bearing component with time-independent, elastic properties and has a much higher volume fraction than that of the matrix. These studies on the time evolution of local stress are important for modeling the statistical evolution of process zone or crack-tip failure mechanisms in time.
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Han, Lu, and Liming Dai. "Dilatational Spherical Wave Propagations of Multiple Energy Sources in Viscous Fluid-Saturated Elastic Porous Media." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-85684.

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Biot developed a representative model for the propagation of stress waves in a porous elastic solid containing a compressible viscous fluid, which is the fundamental theory about wave propagation in porous media. The solution proposed in that work has the same form under the model with or without fluid viscosity, though it is conflicted with the energy dissipation when the viscosity of flow is involved. In this study, the solution under the viscosity model has been modified with the exponential time dissipation term introduced to different forms under light and heavy viscosity, which complies with Biot’s oscillation form when there is no damping caused by fluid viscosity, and makes more sense as less oscillatory when the viscosity becomes large, as the energy will be dissipated in that case.
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Harnoy, Avraham, Laksh Shridhar, and John Tavantzis. "Viscoelastic Effects on the Stability of Thin-Film Parallel Flow in Lubrication Applications." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-2707.

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Abstract The analysis is concerned with the effect of fluid-elasticity on the stability of laminar parallel flow. The widely used multi-grade oils contain polymer additives that make them viscoelastic. These oils are widely used for high shear-rate laminar flow of hydrodynamic lubrication, where flow instability is undesirable because it significantly increases the viscous friction losses. A fluid model is applied where the stress-relaxation effect is considered in addition to the fluid viscosity. However, the normal stresses are disregarded. Extended Orr-Sommerfeld type analysis has been performed for elastic fluid films of lubrication. The conclusion is that the elasticity of the fluid has a destabilizing effect. For parallel flow, the transition to instability is at lower Reynolds number in comparison to Newtonian fluids.
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Hagani, Fouad, M'hamed Boutaous, Ronnie Knikker, Shihe Xin, and Dennis Siginer. "Numerical Modeling of Non-Affine Viscoelastic Fluid Flow Including Viscous Dissipation Through a Square Cross-Section Duct: Heat Transfer Enhancement due to the Inertia and the Elastic Effects." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23558.

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Abstract Non-isothermal laminar flow of a viscoelastic fluid including viscous dissipation through a square cross–section duct is analyzed. Viscoelastic stresses are described by Giesekus modele orthe Phan-Thien–Tanner model and the solvent shear stress is given by the linear Newtonian constitutive relationship. The flow through the tube is governed by the conservation equations of energy, mass, momentum associated with to one non–affine rheological model mentioned above. The mixed type of the governing system of equations (elliptic–parabolic–hyperbolic) requires coupling between discretisation methods designed for elliptic–type equations and techniques adapted to transport equations. To allow appropriate spatial discretisation of the convection terms, the system is rewritten in a quasi-linear first-order and homogeneous form without the continuity and energy equations. With the rheological models of the Giesekus type, the conformation tensor is by definition symmetrical and positive-definite, with the PTT model the hyperbolicity condition is subject to restrictions related to the rheological parameters. Based on this hyperbolicity condition, the contribution of the hyperbolic part is approximated by applying the characteristic method to extract pure advection terms which are then discretized by high ordre schemes WENO and HOUC. The algorithm thus developed makes it possible, to avoid the problems of instabilities related to the high Weissenberg number without the use of any stabilization method. Finally, a Nusselt number analysis is given as a function of inertia, elasticity, viscous dissipation, for constant solvent viscosity ratio and constant material and rheological parameters.
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Reports on the topic "Elastic and viscous stresses"

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Hunke, E. C., and Y. Zhang. Comparison of elastic-viscous-plastic and viscous-plastic dynamics models using a high resolution Arctic sea ice model. Office of Scientific and Technical Information (OSTI), December 1997. http://dx.doi.org/10.2172/563300.

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Schiferl, S. K. Stresses and elastic constants of crystalline sodium, from molecular dynamics. Office of Scientific and Technical Information (OSTI), February 1985. http://dx.doi.org/10.2172/5848410.

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Tzavaras, Anthanasios E. Elastic as Limit of Viscoelastic Response, in a Context of Self-Similar Viscous Limits. Fort Belvoir, VA: Defense Technical Information Center, March 1994. http://dx.doi.org/10.21236/ada277043.

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Gent, A. N., and C. W. Lin. Comparison of Peel and Lap Shear Bond Strengths for Elastic Joints with and without Residual Stresses. Fort Belvoir, VA: Defense Technical Information Center, May 1989. http://dx.doi.org/10.21236/ada208102.

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Roehnelt, R., M. E. Kassner, T. C. Kennedy, and R. S. Rosen. Elastic incompatibility stresses across planar and nonplanar grain boundaries in silver, aluminum, and zirconium applied to ductile fracture criteria under high triaxial stress. Office of Scientific and Technical Information (OSTI), July 1996. http://dx.doi.org/10.2172/406254.

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