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Journal articles on the topic 'Shear (Mechanics) – Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 31 January 2023

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1

Babichev, A. V., V. V. Reverdatto, O. P. Polyansky, I. I. Likhanov, and A. N. Semenov. "Heat generation due to friction in the shear crust zones as a factor of metamorphism and anatexis: the results of numerical simulation." Доклады Академии наук 486, no. 6 (2019): 704–8. http://dx.doi.org/10.31857/s0869-56524866704-708.

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The heat release effect was estimated due to friction in faults under shear and thrust conditions by mathematical modeling, 3D and 2D thermomechanical numerical models were developed. The equations of solid mechanics in a coupled formulation were solved: the equations of mechanical equilibrium and the equation of heat transfer. The model of an elastic-plastic material with the Drucker-Prager and Huber-Mises yield function is used. For the 3D shear model, the heating was 100-110 °C for the value of the friction coefficient 0.3, 180-190 °C for 0.5, about 300 °C for 0.65. In models of horizontal

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2

Ferreira, Rui M. L., Mário J. Franca, João G. A. B. Leal, and António H. Cardoso. "Mathematical modelling of shallow flows: Closure models drawn from grain-scale mechanics of sediment transport and flow hydrodynamicsThis paper is one of a selection of papers in this Special Issue in honour of Professor M. Selim Yalin (1925–2007)." Canadian Journal of Civil Engineering 36, no. 10 (2009): 1605–21. http://dx.doi.org/10.1139/l09-033.

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Mathematical modelling of river processes is, nowadays, a key element in river engineering and planning. River modelling tools should rest on conceptual models drawn from mechanics of sediment transport, river mechanics, and river hydrodynamics. The objectives of the present work are (i) to describe conceptual models of sediment transport, deduced from grain-scale mechanics of sediment transport and turbulent flow hydrodynamics, and (ii) to present solutions to specific river morphology problems. The conceptual models described are applicable to the morphologic evolution of rivers subjected to

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3

Bovendeerd, Peter H. M., Wilco Kroon, and Tammo Delhaas. "Determinants of left ventricular shear strain." American Journal of Physiology-Heart and Circulatory Physiology 297, no. 3 (2009): H1058—H1068. http://dx.doi.org/10.1152/ajpheart.01334.2008.

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Mathematical models of cardiac mechanics can potentially be used to relate abnormal cardiac deformation, as measured noninvasively by ultrasound strain rate imaging or magnetic resonance tagging (MRT), to the underlying pathology. However, with current models, the correct prediction of wall shear strain has proven to be difficult, even for the normal healthy heart. Discrepancies between simulated and measured strains have been attributed to 1) inadequate modeling of passive tissue behavior, 2) neglecting active stress development perpendicular to the myofiber direction, or 3) neglecting crosso

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4

Tripp, D. E., J. H. Hemann, and J. P. Gyekenyesi. "A Review of Failure Models for Ceramic Matrix Composite Laminates Under Monotonic Loads." Journal of Engineering for Gas Turbines and Power 112, no. 4 (1990): 492–501. http://dx.doi.org/10.1115/1.2906194.

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Ceramic matrix composites offer significant potential for improving the performance of turbine engines. In order to achieve their potential, however, improvements in design methodology are needed. In the past most components using structural ceramic matrix composites were designed by “trial and error” since the emphasis on feasibility demonstration minimized the development of mathematical models. To understand the key parameters controlling response and the mechanics of failure, the development of structural failure models is required. A review of short-term failure models with potential for

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5

Molina Herrera, Maritzabel, and Javier Alberto Ortíz Porras. "Behavior of cold-formed thin steel sections (MM) under concentrated loads." Ingeniería e Investigación 26, no. 3 (2006): 12–25. http://dx.doi.org/10.15446/ing.investig.v26n3.14744.

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New sections are continually being developed in the cold-formed steel world to improve the performance of existing sections. M-section development provides an example of improving C-sections’ shear resistance and web crippling resistance against C-sections’ concentrated loads. C-sections’ shear nominal strength can be achieved through locating tow web intermediate stiffeners (M-sections) even though web crippling resistance cannot be increased in the same way. Such intermediate stiffeners mean that M-section stresses and deflections cannot be analysed with traditional material mechanics. Conce

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6

Solovei, Vladislav, Аnton Karvatskii, Taras Lazarev, Іgor Mikulionok, and Iryna Omelchuk. "Determination of the mechanical properties of 3d-printed polymer products by methods of structural mechanics." Proceedings of the NTUU “Igor Sikorsky KPI”. Series: Chemical engineering, ecology and resource saving, no. 2 (June 28, 2021): 16–32. http://dx.doi.org/10.20535/2617-9741.2.2021.235853.

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Mathematical models of stress-strain state (SSS) for modeling tests of polymer composite samples obtained by fused deposition modeling (FDM) in approximations of isotropic and orthotropic media are formulated. An algorithm for solving the inverse SSS problem to determine the effective mechanical properties in the orthotropic approximation of composite products printed by the FDM method has been developed. Numerical models have been developed to solve inverse SSS problems to determine the effective orthotropic mechanical properties of composite products with different degrees of reinforcement,

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7

Faddeev, Alexander O., Svetlana A. Pavlova, and Tatiana M. Nevdakh. "Mathematical Models and Evaluation Software for Stress-Strain State of the Earth’s Lithosphere." Engineering Technologies and Systems, no. 1 (March 29, 2019): 51–66. http://dx.doi.org/10.15507/2658-4123.029.201901.051-066.

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Introduction. For the purposes of this article, geodeformation processes mean processes associated with deformations arising from the movement of species and blocks of the lithosphere at various depths, including surfaces. The objective is to reconstruct geodynamic stress fields, which cause modern shifts and deformations in the Lithosphere. A mathematical model and software for estimating the stress-strain state of the Earth Lithosphere are considered. Materials and Methods.For mathematical modeling of stresses, isostatically reduced data on abnormal gravitation field were used. The methods o

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8

Theret, D. P., M. J. Levesque, M. Sato, R. M. Nerem, and L. T. Wheeler. "The Application of a Homogeneous Half-Space Model in the Analysis of Endothelial Cell Micropipette Measurements." Journal of Biomechanical Engineering 110, no. 3 (1988): 190–99. http://dx.doi.org/10.1115/1.3108430.

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Experimental studies have shown that endothelial cells which have been exposed to shear stress maintain a flattened and elongated shape after detachment. Their mechanical properties, which are studied using the micropipette experiments, are influenced by the level as well as the duration of the shear stress. In the present paper, we analyze these mechanical properties with the aid of two mathematical models suggested by the micropipette technique and by the geometry peculiar to these cells in their detached post-exposure state. The two models differ in their treatment of the contact zone betwe

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9

Burmistrova, Olga, Elena Teterevleva, Igor Grigorev, et al. "BASIS OF MATHEMATICAL INTERACTION MODELS OF WHEEL PROPELLERS OF FORESTRY MACHINES WITH SLIDING SURFACES." Forestry Engineering Journal 10, no. 1 (2020): 173–84. http://dx.doi.org/10.34220/issn.2222-7962/2020.1/22.

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The purpose of the research, the results of which are presented in this article, is to analyze the scientific description of the properties of weak bearing movement surfaces of forest machines. The analysis has showed that universal mathematical models of the wheel propeller interaction with soil are based on the provisions of soil mechanics. This approach has been tested in the science of forestry production. It is successfully used by modern domestic and foreign researchers. However, with regard to the development and implementation of a mathematical description of interaction of ultra-low p

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Burova, Iva, Ivan Wall, and Rebecca J. Shipley. "Mathematical and computational models for bone tissue engineering in bioreactor systems." Journal of Tissue Engineering 10 (January 2019): 204173141982792. http://dx.doi.org/10.1177/2041731419827922.

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Research into cellular engineered bone grafts offers a promising solution to problems associated with the currently used auto- and allografts. Bioreactor systems can facilitate the development of functional cellular bone grafts by augmenting mass transport through media convection and shear flow-induced mechanical stimulation. Developing successful and reproducible protocols for growing bone tissue in vitro is dependent on tuning the bioreactor operating conditions to the specific cell type and graft design. This process, largely reliant on a trial-and-error approach, is challenging, time-cons

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11

Zaoui, Fatima Zohra, Djamel Ouinas, Belkacem Achour, et al. "Mathematical Approach for Mechanical Behaviour Analysis of FGM Plates on Elastic Foundation." Mathematics 10, no. 24 (2022): 4764. http://dx.doi.org/10.3390/math10244764.

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This paper presents the flexural analysis of functionally graded plates resting on elastic foundations using new two-dimensional (2D) and quasi-three-dimensional (quasi-3D) higher order shear deformation theories. The main interesting feature of this theory is that it proposes a new displacement field with undetermined integral variables which involves only five unknown functions, unlike other shear and normal deformation theories, hence making it easier to use. A parabolic transverse shear deformation shape function satisfying the zero shear stress conditions on the plate outer surfaces is co

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12

Kumar, D. V. T. G. Pavan, and B. K. Raghu Prasad. "Higher-Order Beam Theories for Mode II Fracture of Unidirectional Composites." Journal of Applied Mechanics 70, no. 6 (2003): 840–52. http://dx.doi.org/10.1115/1.1607357.

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Mathematical models, for the stress analyses of unidirectional end notch flexure and end notch cantilever specimens using classical beam theory, first, second, and third-order shear deformation beam theories, have been developed to determine the interlaminar fracture toughness of unidirectional composites in mode II. In the present study, appropriate matching conditions, in terms of generalized displacements and stress resultants, have been derived and applied at the crack tip by enforcing the displacement continuity at the crack tip in conjunction with the variational equation. Strain energy

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13

Guz, I. A., J. J. Rushchitsky, and A. N. Guz. "Effect of a special reinforcement on the elastic properties of micro- and nanocomposites with polymer matrix." Aeronautical Journal 117, no. 1196 (2013): 1019–36. http://dx.doi.org/10.1017/s0001924000008666.

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AbstractThe paper revisits some of the well-known models in the mechanics of structurally heterogeneous media for the purpose of analysing their suitability to describe properties of nanocomposites and their mechanical behaviour. It also presents a new multi-component model for predicting the mechanical properties of micro- and nanocomposites reinforced either by whiskerising the microfibres or by bristlising the nanowires. The mathematical formulation of the model is based on using the Muskhelishvili complex potentials for each domain occupied by a separate component. As an example, the effec

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14

Merdaci, S., S. Boutaleb, H. Hellal, and S. Benyoucef. "Analysis of Static Bending of Plates FGM Using Refined High Order Shear Deformation Theory." Journal of Building Materials and Structures 6, no. 1 (2019): 32–38. http://dx.doi.org/10.34118/jbms.v6i1.66.

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This work deals with the analysis of the mechanical bending behavior of a rectangular plate simply supported on four sides (FGM), subjected to transverse static loading. The high order theory is used in this work, The developed models are variably consistent, have a strong similarity with the classical plate theory in many aspects, do not require correction to the shear factor, and give rise to variations transverse shear stresses such as transverse shear parabolically varies across the shear thickness and satisfies surface conditions without stresses. Equilibrium equations are obtained by app

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15

Petrushin, G. D., and A. G. Petrushina. "Determination of the area of mechanical hysteresis loop using mathematical models." Industrial laboratory. Diagnostics of materials 86, no. 5 (2020): 59–64. http://dx.doi.org/10.26896/1028-6861-2020-86-5-59-64.

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A method of the hysteresis loop relates to the direct methods for determination of the energy dissipation and studying the inelasticity in the material. The method is based on the direct formation of the mechanical hysteresis loop by static loading and unloading of the sample and measuring of the corresponding deformations. The relative energy dissipation is defined as the ratio of the hysteresis loop area to the elastic energy corresponding to the maximum amplitude of strain. Construction of the hysteresis loop is performed on the installation «torsional pendulum for determination of the mech

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16

Guerin, Heather Anne L., and Dawn M. Elliott. "The Role of Fiber-Matrix Interactions in a Nonlinear Fiber-Reinforced Strain Energy Model of Tendon." Journal of Biomechanical Engineering 127, no. 2 (2004): 345–50. http://dx.doi.org/10.1115/1.1865212.

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The objective of this study was to develop a nonlinear and anisotropic three-dimensional mathematical model of tendon behavior in which the structural components of fibers, matrix, and fiber-matrix interactions are explicitly incorporated and to use this model to infer the contributions of these structures to tendon mechanical behavior. We hypothesized that this model would show that: (i) tendon mechanical behavior is not solely governed by the isotropic matrix and fiber stretch, but is also influenced by fiber-matrix interactions; and (ii) shear fiber-matrix interaction terms will better desc

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17

Reinhardt, W. D., and R. N. Dubey. "Application of Objective Rates in Mechanical Modeling of Solids." Journal of Applied Mechanics 63, no. 3 (1996): 692–98. http://dx.doi.org/10.1115/1.2823351.

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A unified formulation is developed for deformation-related spins, and for objective rates based on them. The approach generalizes the underlying concepts, and allows new rates to be constructed. Mathematical and thermodynamical restrictions on these are shown. As a result, it can be demonstrated that the Eulerian strain rate is an objective rate of logarithmic strain, based on a spin easily derivable from the general form. Interrelations between other known spins and objective rates emerge very clearly. Consequences of the proposed formalism are explored in hypoelastic and in rigid-plastic con

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18

Bardella, Lorenzo. "Reliability of first-order shear deformation models for sandwich beams." Journal of Mechanics of Materials and Structures 3, no. 7 (2008): 1187–206. http://dx.doi.org/10.2140/jomms.2008.3.1187.

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19

Paimushin, V. N., V. A. Firsov, and V. M. Shishkin. "MATHEMATICAL MODELING OF THE VIBRATIONS PROPAGATION IN THIN-WALL FRAMEWORK STRUCTURES. 2. FINITE ELEMENT MODELS AND NUMERICAL EXPERIMENTS." Problems of Strength and Plasticity 84, no. 3 (2022): 311–30. http://dx.doi.org/10.32326/1814-9146-2022-84-3-311-330.

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Based on the refined S.P. Timoshenko shear model, one-dimensional finite elements for modeling the dynamic response of flat rods with clamped section of finite length on one of the front faces have been constructed. To analyze their stationary dynamic response under harmonic external action, a system of resolving equations in a complex form is formed. Three models of kinematic conjugation of clamped and free sections of rods are developed using the equation of connection between the rotation angle of the cross section and axial displacement at the boundary between the marked parts of the rod,

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20

Cloud, J. E., and P. E. Clark. "Alternatives to the Power-Law Fluid Model for Crosslinked Fluids." Society of Petroleum Engineers Journal 25, no. 06 (1985): 935–42. http://dx.doi.org/10.2118/9332-pa.

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Summary Measuring the rheological properties of crosslinked fracturing fluids is difficult but important. Fluid properties play a key role in the determination of the final geometry of the created fracture and in the distribution of proppant within the fracture; therefore, an accurate knowledge of these parameters is necessary for optimum treatment design. The first paper1 in this series described a method to measure accurately and reproducibly the rheological properties of crosslinked fracturing fluids. The technique is the first that applies long-accepted mathematical methods to correct the

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21

Ahmad, Bilal, and Xiangfan Fang. "Modeling Shear Behavior of Woven Fabric Thermoplastic Composites for Crash Simulations." Applied Composite Materials 27, no. 6 (2020): 739–65. http://dx.doi.org/10.1007/s10443-020-09844-0.

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AbstractWoven fabric thermoplastic composites possess high specific strength and stiffness along with thermoformability. To utilize the full potential of these materials to achieve better crash-safe designs in automotive structural parts, the measurement of non-linear shear behavior and its material modeling for FEM simulations is required. The standard testing method was used to measure the pure shear behavior of woven fabric composites. These results were compared with the shear behavior of material in the presence of normal stresses along the fiber direction. Tensile and compression cyclic

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Ter-Martirosyan, Armen, Vitalii Sidorov, and Evgeny Sobolev. "Dynamic Properties of Soil Cements for Numerical Modelling of the Foundation’s Basis Transformed under the Technology of Deep Soil Mixing: A Determination Method." Buildings 12, no. 7 (2022): 1028. http://dx.doi.org/10.3390/buildings12071028.

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This research investigates the mechanical properties of soil-cement specimens ranging from ultrasmall to large values of shear strain at dynamic loading. The nonlinear behavior of soil cement exposed to dynamic loading in a wide range of changing shear strains was examined on the basis of two mechanical models. All soil-cement specimens were collected from under an existing building and modified with deep soil mixing (DSM.). Soil-cement samples were examined using low-amplitude oscillations in the resonant column and the dynamic triaxial compression method. Additionally, the stress–strain stat

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23

Eshmatov, Bakhtiyor, and Subrata Mukherjee. "Nonlinear Vibrations of Viscoelastic Composite Cylindrical Panels." Journal of Vibration and Acoustics 129, no. 3 (2006): 285–96. http://dx.doi.org/10.1115/1.2730532.

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This paper is devoted to mathematical models of problems of nonlinear vibrations of viscoelastic, orthotropic, and isotropic cylindrical panels. The models are based on Kirchhoff-Love hypothesis and Timoshenko generalized theory (including shear deformation and rotatory inertia) in a geometrically nonlinear statement. A choice of the relaxation kernel with three rheological parameters is justified. A numerical method based on the use of quadrature formulas for solving problems in viscoelastic systems with weakly singular kernels of relaxation is proposed. With the help of the Bubnov-Galerkin m

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Gavrilyuk, Sergey L., and Henri Gouin. "Variational formulation for models of shear shallow water flows and ideal turbulence." International Journal of Non-Linear Mechanics 119 (March 2020): 103312. http://dx.doi.org/10.1016/j.ijnonlinmec.2019.103312.

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Rajagopal, K. R., and Giuseppe Saccomandi. "The mechanics and mathematics of the effect of pressure on the shear modulus of elastomers." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2112 (2009): 3859–74. http://dx.doi.org/10.1098/rspa.2009.0416.

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In this paper, we discuss the need for models that express the stretch (or strain) as a function of stress, or implicit constitutive models that relate the stretch (or strain) and stress, for describing the elastic response of some elastomers. We would like to provide an explanation for some experimental data for elastomeric materials that imply that the material moduli depend on pressure. Included in the class of models that are proposed are those which can explain limiting chain extensibility that is exhibited by some rubber-like solids. The models that are proposed stem from a completely di

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Wang, Yunliang, Frank G. Jacobitz, and Christopher J. Rutland. "Large eddy simulation of homogeneous shear flows with several subgrid-scale models." International Journal for Numerical Methods in Fluids 50, no. 7 (2006): 863–83. http://dx.doi.org/10.1002/fld.1081.

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27

Tarrés, Quim, and Mònica Ardanuy. "Evolution of Interfacial Shear Strength and Mean Intrinsic Single Strength in Biobased Composites from Bio-Polyethylene and Thermo-Mechanical Pulp-Corn Stover Fibers." Polymers 12, no. 6 (2020): 1308. http://dx.doi.org/10.3390/polym12061308.

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In this article, with the aim of promoting sustainability, contributing to the circular economy and the fight against climate change, the production of composite materials from Bio-polyethylene reinforced with corn stover fibers has been studied. The behavior of the materials obtained has been studied experimentally and by mathematical models of micromechanics. The composite materials were produced by extrusion and then injection with from 10 to 50 wt.% of fibers. The creation of a good fiber-matrix interface was studied by the incorporation of coupling agent between (0–8 wt.%). Increase of 13

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Jalali, Amir, Hashem Dianati, Mahmood Norouzi, Hossein Vatandoost, and Mojtaba Ghatee. "A novel bi-directional shear mode magneto-rheological elastomer vibration isolator." Journal of Intelligent Material Systems and Structures 31, no. 17 (2020): 2002–19. http://dx.doi.org/10.1177/1045389x20942314.

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In this article, a novel bi-directional shear mode magneto-rheological elastomer–based vibration isolator has been designed, fabricated, and characterized to improve the dynamic response and identification of this class of “intellectual” mechanical devices. A heuristic embodiment has been realized in order to design such an isolator wherein both the vertical and horizontal directions can be operated only in the shear mode not only individually but also simultaneously. Two fixtures have been designed for performing the characterization of the magneto-mechanical behavior of the proposed magneto-

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29

Xie, Shijie, Hang Lin, Yixian Wang, et al. "A statistical damage constitutive model considering whole joint shear deformation." International Journal of Damage Mechanics 29, no. 6 (2020): 988–1008. http://dx.doi.org/10.1177/1056789519900778.

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The whole shear deformation of rock joints significantly affects the long-term behavior and safety of engineering projects. In this paper, a new damage constitutive model related to the Weibull distribution and statistical damage theory is proposed. This model considers the shear stiffness degradation, post-peak softening, and residual phase of rock joints in the whole shearing process. Main works include the three following aspects: First, the phase of initial damage is determined on the assumption that the joint shear failure is regarded as a result of damage evolution, according to the typi

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Ni, Yufang, Zhixian Cao, and Qingquan Liu. "Mathematical modeling of shallow-water flows on steep slopes." Journal of Hydrology and Hydromechanics 67, no. 3 (2019): 252–59. http://dx.doi.org/10.2478/johh-2019-0012.

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Abstract A 2D hydrodynamic (labeled as CAR) model has been proposed in a rectangular Cartesian coordinate system with two axes within the horizontal plane and one axis along the vertical direction (global coordinates), considering the effects of bed slope on both pressure distribution and bed shear stresses. The CAR model satisfactorily reproduces the analytical solutions of dam-break flow over a steep slope, while the traditional Saint-Venant Equations (labeled as SVE) significantly overestimate the flow velocity. For flood events with long duration and large mean slope, the CAR and the SVE m

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Kamenskiy, Alexey V., Iraklis I. Pipinos, Yuris A. Dzenis, Prateek K. Gupta, Syed A. Jaffar Kazmi, and Jason N. MacTaggart. "A mathematical evaluation of hemodynamic parameters after carotid eversion and conventional patch angioplasty." American Journal of Physiology-Heart and Circulatory Physiology 305, no. 5 (2013): H716—H724. http://dx.doi.org/10.1152/ajpheart.00034.2013.

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Carotid endarterectomy has a long history in stroke prevention, yet controversy remains concerning optimal techniques. Two methods frequently used are endarterectomy with patch angioplasty (CEAP) and eversion endarterectomy (CEE). The objective of this study was to compare hemodynamics-related stress and strain distributions between arteries repaired using CEAP and CEE. Mathematical models were based on in vivo three-dimensional arterial geometry, pulsatile velocity profiles, and intraluminal pressure inputs obtained from 16 patients with carotid artery disease. These data were combined with e

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Horr, Amir M., Richard Kertz, and Michael Just. "Numerical Damage Modelling of Aluminium Alloys for Wide Range of Stress Triaxiality." Materials Science Forum 794-796 (June 2014): 646–51. http://dx.doi.org/10.4028/www.scientific.net/msf.794-796.646.

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There have been many efforts to investigate and develop a mechanical plasticity, damage and failure models for metal alloys in the last couple of decades. These models (single and multi-damage parameters) are generally based on energy and constitutive equations to simulate the fracture and failure processes in metal alloys. The conventional fracture mechanics theory and its applications have been successfully employed to study fracture and failure processes. However, these methods have serious short comes in predicting the damage and failure in metal alloys where the fracture is dominated by t

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Tekin, Gülçin, and Fethi Kadıoğlu. "Viscoelastic Behavior of Shear-Deformable Plates." International Journal of Applied Mechanics 09, no. 06 (2017): 1750085. http://dx.doi.org/10.1142/s1758825117500855.

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The purpose of this study is to extend a new mixed-type finite element (MFE) model, developed earlier by the present authors for the analysis of viscoelastic Kirchhoff plates [Aköz, A. Y., Kadıoğlu, F. and Tekin, G. [2015] “Quasi-static and dynamic analysis of viscoelastic plates”, Mechanics of Time-Dependent Materials 19(4), 483–503], to study the quasi-static and dynamic responses of first-order shear-deformable (FSD) linear viscoelastic Mindlin–Reissner plates. In this context, various viscoelastic material models are discussed for the plate structure to read from them possible patterns of

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Shapovalova, Mariya Ihorivna, and Oleksii Oleksandrovich Vodka. "Two-level mathematical models for determining the stress state and life plate with a hole." Bulletin of the National Technical University «KhPI» Series: Dynamics and Strength of Machines, no. 1 (December 31, 2021): 55–59. http://dx.doi.org/10.20998/2078-9130.2021.1.234843.

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Modern trends in the development of mechanical engineering and other industries related to the production of materials and structures with a given set of physical, mechanical, and technological properties are aimed at reducing material consumption, energy consumption, increasing accuracy, reliability, and competitiveness of the manufactured product. Therefore, the creation of mathematical methods for assessing the stress state of structural elements based on the analysis of the elastic characteristics of a material, taking into account the peculiarities of its internal microstructure, is an ac

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Wang, Zhipeng, Guoli Zhang, Youxin Zhu, Liqing Zhang, Xiaoping Shi, and Weiwei Wang. "Theoretical analysis of braiding strand trajectories and simulation of three-dimensional parametric geometrical models for multilayer interlock three-dimensional tubular braided preforms." Textile Research Journal 89, no. 19-20 (2019): 4306–22. http://dx.doi.org/10.1177/0040517519826888.

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Multilayer interlock three-dimensional (3D) tubular braided composites have been widely used in propeller blades, high pressure pipelines, rocket nose cones and engine nozzles owing to prominent interlaminar shear properties, reliable damage tolerance and outstanding torsion performance. The prediction of the mechanical properties and the design of the fabric structures for the 3D braided composites are dependent on the trajectory distribution of strands and the geometrical model of the braided structure. This paper aims to build theoretical models for the braiding strand trajectories and pres

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Nauman, Eric A., C. Mark Ott, Ed Sander, et al. "Novel Quantitative Biosystem for Modeling Physiological Fluid Shear Stress on Cells." Applied and Environmental Microbiology 73, no. 3 (2006): 699–705. http://dx.doi.org/10.1128/aem.02428-06.

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ABSTRACT The response of microbes to changes in the mechanical force of fluid shear has important implications for pathogens, which experience wide fluctuations in fluid shear in vivo during infection. However, the majority of studies have not cultured microbes under physiological fluid shear conditions within a range commonly encountered by microbes during host-pathogen interactions. Here we describe a convenient batch culture biosystem in which (i) the levels of fluid shear force can be varied within physiologically relevant ranges and quantified via mathematical models and (ii) large number

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Clayton, Erik H., Guy M. Genin, and Philip V. Bayly. "Transmission, attenuation and reflection of shear waves in the human brain." Journal of The Royal Society Interface 9, no. 76 (2012): 2899–910. http://dx.doi.org/10.1098/rsif.2012.0325.

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Traumatic brain injuries (TBIs) are caused by acceleration of the skull or exposure to explosive blast, but the processes by which mechanical loads lead to neurological injury remain poorly understood. We adapted motion-sensitive magnetic resonance imaging methods to measure the motion of the human brain in vivo as the skull was exposed to harmonic pressure excitation (45, 60 and 80 Hz). We analysed displacement fields to quantify the transmission, attenuation and reflection of distortional (shear) waves as well as viscoelastic material properties. Results suggest that internal membranes, such

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Aizikovich, S. M., L. I. Krenev, and I. S. Trubchik. "Stresses at the Interface between the Functionally Graded Coating and the Elastic Half-Space Caused by Spherical Indentation." Key Engineering Materials 345-346 (August 2007): 833–36. http://dx.doi.org/10.4028/www.scientific.net/kem.345-346.833.

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Recent advances in nanotechnology have revealed numerous new methods of manufacturing functionally graded coatings and materials, but progress in this field is limited by the lack of knowledge about the mechanical behavior of such structures. Existing models of the mechanics of layered structures are not generally adequate for this purpose, since functionally graded structures can exhibit both qualitative and quantitative behavioral differences in comparison with homogeneous or layered structures, particularly if there is a significant gradient of elastic properties in the coating. In applicat

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Deng, Wubing, and Igor B. Morozov. "Solid viscosity of fluid-saturated porous rock with squirt flows at seismic frequencies." GEOPHYSICS 81, no. 4 (2016): D395—D404. http://dx.doi.org/10.1190/geo2015-0406.1.

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We have developed a macroscopic model for a two-phase medium (solid porous rock frame plus saturating pore fluid) with squirt flows based on Lagrangian continuum mechanics. The model focuses on improved physics of rock deformation, including explicit differential equations in time domain, causality, linearity, frequency-independent parameters with clear physical meanings, and an absence of mathematical internal or memory variables. The approach shows that all existing squirt-flow models can be viewed as microscopic models of viscosity for solid rock. As in existing models, the pore space is di

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Paimushin, V. N., V. A. Firsov, and V. M. Shishkin. "MATHEMATICAL MODELING OF THE VIBRATIONS PROPAGATION IN THIN-WALL FRAMEWORK STRUCTURES. 1. BASIC RELATIONS AND ANALYTICAL SOLUTIONS OF TYPICAL PROBLEMS." Problems of Strength and Plasticity 84, no. 2 (2022): 207–24. http://dx.doi.org/10.32326/1814-9146-2022-84-2-207-224.

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The design features of the of thin-walled aerospace, shipbuilding, etc. structures in the form of a load-bearing frame sheathed with thin-walled panels, walls, bulkheads, etc. are discussed. Variants of constructive coupling of the specified thin-walled panels with supporting elements of the load-bearing frame and methods for their mathematical description in the classical mechanics of a deformable solid body are considered. It is proposed, without distorting the physical picture of the dynamic behavior of thin-walled panels, to present them in the form of multisupport thin bars resting on rig

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McGinty, R. D., T. B. Rhyne, and S. M. Cron. "Analytical Solution for the Stresses Arising in +/− Angle Ply Belts of Radial Tires." Tire Science and Technology 36, no. 4 (2008): 244–74. http://dx.doi.org/10.2346/1.2999704.

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Abstract Stresses arising in the belts of radial ply tires, particularly those at the belt edge, are known to be critical to tire durability. Belt edge stresses are commonly calculated using finite element (FE) methods that provide estimates of the levels but do not necessarily give significant insight into the underlying mechanics. In contrast, analytical models can provide physical insight into the mechanisms affecting tire durability but are currently incomplete due to the challenges faced in obtaining closed-form mathematical solutions. Nevertheless, analytical solutions remain important t

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Liu, Fengjie, Monan Wang, and Yuzheng Ma. "Multiscale modeling of skeletal muscle to explore its passive mechanical properties and experiments verification." Mathematical Biosciences and Engineering 19, no. 2 (2021): 1251–79. http://dx.doi.org/10.3934/mbe.2022058.

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<abstract> <p>The research of the mechanical properties of skeletal muscle has never stopped, whether in experimental tests or simulations of passive mechanical properties. To investigate the effect of biomechanical properties of micro-components and geometric structure of muscle fibers on macroscopic mechanical behavior, in this manuscript, we establish a multiscale model where constitutive models are proposed for fibers and the extracellular matrix, respectively. Besides, based on the assumption that the fiber cross-section can be expressed by Voronoi polygons, we optimize the Vo

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Luo, Yi, Hong Ye, Cheng Zhi Xiong, Lin Liu, and Xu Wei Lv. "Resistance Spot Welding Process of Galvanized Steel Sheet Based on Regression Modeling." Materials Science Forum 610-613 (January 2009): 681–86. http://dx.doi.org/10.4028/www.scientific.net/msf.610-613.681.

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The resistance spot welding process of galvanized steel sheet used in the body manufacturing of family car was studied, and the indexes of nugget geometry and tensile-shear strength of spot welds were tested. Four process parameters, namely welding current, electrode force, welding current duration and preheat current, and interactions among them were regarded as factors impacting indexes. Method using in mathematical models developing was nonlinear multiple orthogonal regression assembling design, which was optimized by the technology of variance analysis. The experimental results showed that

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Sujan, D., T. K. Piaw, and Dereje Engida Woldemichael. "Thermo-Mechanical Stress Analysis in Electronic Packaging with Continuous and Partial Bond Layer." Applied Mechanics and Materials 465-466 (December 2013): 50–54. http://dx.doi.org/10.4028/www.scientific.net/amm.465-466.50.

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Interfacial stress due to thermal mismatch in layered structure has been considered as one of the major causes of mechanical failure in electronic packaging. The mismatch due to the differences in coefficient of thermal expansion (CTE) of the materials in multi-layered structure may induce severe stress concentration to the electronic composites namely interfacial delamination and die cracking. Therefore, the studies and evaluation of interfacial stress in electronic packaging become significantly important for optimum design and failure prediction of the electronic devices. The thermal mismat

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Kondratieva, Lidiia, Aleksandr Kuznetsov, and Ekaterina Moiseyeva. "REVIEW OF THE ANALYTICAL ASSESSMENT METHOD OF FINDING THE SEISMIC AND EXTREME LOAD RESILIENCE OF SHEAR LINKS." Architecture and Engineering 5, no. 4 (2020): 60–64. http://dx.doi.org/10.23968/2500-0055-2020-5-4-60-64.

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Introduction: This paper reviews the analytical method of assessing the seismic and extreme load resistance of buildings with a complex macrostructure that includes elastic-plastic inserts operating in shear. Methods: We analyze a number of studies that rationalize the choice of models for simulating complex elastic-plastic deformation in a mechanical system with several degrees of freedom, as well as studies that review the durability and resilience of buildings with a complex macrostructure based on non-linear shear links when subjected to dynamic and extreme impact. We also consider the met

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Zhang, Pei, and Hai Qing. "On well-posedness of two-phase nonlocal integral models for higher-order refined shear deformation beams." Applied Mathematics and Mechanics 42, no. 7 (2021): 931–50. http://dx.doi.org/10.1007/s10483-021-2750-8.

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AbstractDue to the conflict between equilibrium and constitutive requirements, Eringen’s strain-driven nonlocal integral model is not applicable to nanostructures of engineering interest. As an alternative, the stress-driven model has been recently developed. In this paper, for higher-order shear deformation beams, the ill-posed issue (i.e., excessive mandatory boundary conditions (BCs) cannot be met simultaneously) exists not only in strain-driven nonlocal models but also in stress-driven ones. The well-posedness of both the strain- and stress-driven two-phase nonlocal (TPN-StrainD and TPN-St

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Pasichnyk, S. S., and N. V. Bezrukavyi. "Increasing the 18-100 freight-car truck shear stiffness." Technical mechanics 2020, no. 3 (2020): 91–98. http://dx.doi.org/10.15407/itm2020.03.091.

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Although a large number of truck models have been put into service on the 1520 mm gage railways over the past ten years, the problem of an insufficient shear stiffness of a freight car truck still remains topical. This problem is a consequence of attempts to keep a sufficient degree of unification of new truck models with the 18-100 truck because this greatly simplifies the introduction of new trucks and allows one to make the best use of the existing maintenance and repair infrastructure. However, this also results in that new designs inherit many drawbacks of the 18-100 truck. One of its cri

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Gholami, R., R. Ansari, and Y. Gholami. "Nonlocal large-amplitude vibration of embedded higher-order shear deformable multiferroic composite rectangular nanoplates with different edge conditions." Journal of Intelligent Material Systems and Structures 29, no. 5 (2017): 944–68. http://dx.doi.org/10.1177/1045389x17721377.

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Based on the nonlocal elasticity theory, a unified nonlocal, nonlinear, higher-order shear deformable nanoplate model is developed to investigate the size-dependent, large-amplitude, nonlinear vibration of multiferroic composite rectangular nanoplates with different boundary conditions resting on an elastic foundation. By considering a unified displacement vector and using von Kármán’s strain tensor, the strain–displacement components are obtained. Using coupled nonlocal constitutive relations, the coupled ferroelastic, ferroelectric, ferromagnetic, and thermal properties of multiferroic compo

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Franchi, Franca, Barbara Lazzari, and Roberta Nibbi. "Viscoelastic type magnetic effects and self-gravity on the propagation of MHD waves." Meccanica 55, no. 11 (2020): 2199–214. http://dx.doi.org/10.1007/s11012-020-01252-9.

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Abstract We take up the challenge to explain the correlation between the Jeans instability topic towards star formation within the accelerated expansion of universe and the role of torsional shear-like Alfven waves in triggering the formation of network patterns, by proposing new mathematical models for self-gravitating interstellar non ideal MHD plasmas. The diffusion of the gravitational field is included via a parabolic Einstein’s equation with the cosmological constant, whereas anomalous resistive features are described through non ideal Ohm’s laws incorporating inertia terms, to account o

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Öğülmüş Demircan, Fadime, İbrahim Yücedağ, and Metin Toz. "A novel mathematical model including the wetness parameter as a variable for prevention of pressure ulcers." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 236, no. 3 (2021): 427–37. http://dx.doi.org/10.1177/09544119211048557.

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Pressure ulcers are injuries caused by external conditions such as pressure, friction, shear, and humidity resulting from staying in the same position for a long time in bedridden patients. It is a serious problem worldwide when assessed in terms of hospital capacity, nursing staff employment and treatment costs. In this study, we developed a novel mathematical model based on one of our previous models to prevent pressure ulcers or delay injuries. The proposed model uses a human thermal model that includes skin temperature, hypothalamus temperature, regional perspiration coefficient, and uncon

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