Topic
Continuum mechanics
About: Continuum mechanics is a research topic. Over the lifetime, 5042 publications have been published within this topic receiving 181027 citations.
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TL;DR: In this paper, a new constitutive law relating the stress tensor to non-local functions of the velocity field and structural parameters of the material was proposed, which can be used to describe the diphasic behavior of granular medium under stress.
Abstract: The stationary dense granular flow along an inclined plane has been studied in the present work. Several experimental results of the velocity profile published previously can not be described using conventional constitutive laws of continuum mechanics. Considering recent results revealing the diphasic behavior of granular medium under stress, we propose a new constitutive law relating the stress tensor to non-local functions of the velocity field and structural parameters of the material.
92 citations
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01 Jan 1996
TL;DR: In this article, the authors provide a systematic and self-consistent introduction to nonlinear continuum mechanics of solids, from the main axioms to comprehensive aspects of the theory, and expose the most intriguing aspects of elasticity and viscoelasticity with finite strains in such a way as to ensure mathematical correctness, on the one hand, and to demonstrate a wide spectrum of physical phenomena typical only of nonlinear mechanics.
Abstract: This book provides a systematic and self-consistent introduction to the nonlinear continuum mechanics of solids, from the main axioms to comprehensive aspects of the theory. The objective is to expose the most intriguing aspects of elasticity and viscoelasticity with finite strains in such a way as to ensure mathematical correctness, on the one hand, and to demonstrate a wide spectrum of physical phenomena typical only of nonlinear mechanics, on the other.A novel aspect of the book is that it contains a number of examples illustrating surprising behaviour in materials with finite strains, as well as comparisons between theoretical predictions and experimental data for rubber-like polymers and elastomers.The book aims to fill a gap between mathematicians specializing in nonlinear continuum mechanics, and physicists and engineers who apply the methods of solid mechanics to a wide range of problems in civil and mechanical engineering, materials science, and polymer physics. The book has been developed from a graduate course in applied mathematics which the author has given for a number of years.
91 citations
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28 Apr 2008
TL;DR: This paper presents methods for Numerical Flow Simulation and numerical techniques for Multiphase Flow with Liquid-Solid Interaction for Classical and Non-Newtonian Fluid Mechanics.
Abstract: Review of Relevant Continuum Mechanics.- Hemorheology.- Mathematical Problems in Classical and Non-Newtonian Fluid Mechanics.- Methods for Numerical Flow Simulation.- Numerics of Fluid-Structure Interaction.- Numerical Techniques for Multiphase Flow with Liquid-Solid Interaction.
91 citations
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TL;DR: In this paper, the authors apply basic ideas and methods of continuum mechanics to the crack propagation process and apply them to the case of fatigue and fluctuation cracks in elastic and rigid-plastic solids.
91 citations
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25 Oct 2007TL;DR: In this paper, the boundary element method (BEM) is used for the analysis of carbon nanotube (CNT)-based composites, which is based on exactly the same boundary integral equation (BIE) formulation developed by Rizzo some forty years ago, and is an ideal numerical tool for such simulations using continuum mechanics.
Abstract: This paper presents some recent advances in the boundary element method (BEM) for the analysis of carbon nanotube (CNT)-based composites. Carbon nanotubes, formed conceptually by rolling thin graphite sheets, have been found to be extremely stiff, strong and resilient, and therefore may be ideal for reinforcing composite materials. However, the thin cylindrical shape of the CNTs presents great challenges to any computational method when these thin shell-like CNTs are embedded in a matrix material. The BEM, based on exactly the same boundary integral equation (BIE) formulation developed by Rizzo some forty years ago, turns out to be an ideal numerical tool for such simulations using continuum mechanics. Modeling issues regarding model selections, representative volume elements, interface conditions and others, will be discussed in this paper. Methods for dealing with nearly-singular integrals which arise in the BEM analysis of thin or layered materials and are crucial for the accuracy of such analyses will be reviewed. Numerical examples using the BEM and compared with the finite element method (FEM) will be presented to demonstrate the efficiency and accuracy of the BEM in analyzing the CNT-reinforced composites.
91 citations