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 article, the authors present the fundamentals of multiscale materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering, and provide a self-contained treatment of topics directly related to nonlinear materials modeling.
Abstract: Continuum mechanics and thermodynamics are foundational theories of many fields of science and engineering. This book presents a fresh perspective on these fundamental topics, connecting microand nanoscopic theories and emphasizing topics relevant to understanding solid-state thermo-mechanical behavior. Providing clear, in-depth coverage, the book gives a self-contained treatment of topics directly related to nonlinear materials modeling. It starts with vectors and tensors, finite deformation kinematics, the fundamental balance and conservation laws, and classical thermodynamics. It then discusses the principles of constitutive theory and examples of constitutive models, presents a foundational treatment of energy principles and stability theory, and concludes with example closed-form solutions and the essentials of finite elements. Together with its companion book, Modeling Materials, (Cambridge University Press, 2011), this work presents the fundamentals of multiscale materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
42 citations
TL;DR: In this article, a phase field model in the framework of cell-based smoothed finite element method (CS-FEM) aiming to solve problems of brittle fracture in solids is developed.
42 citations
TL;DR: Two approaches are proposed to overcome the difficulties of the standard continuum mechanics of Cauchy and to model the mechanical behavior of fibrous reinforcements taking into account the local fibre bending stiffness.
42 citations
01 Nov 2010-Graphical Models \/graphical Models and Image Processing \/computer Vision, Graphics, and Image Processing
TL;DR: An alternative method to determine the elasticity parameters of lumped element models of deformable objects is presented, which has been developed for two-dimensions and for three-dimensional volumetric objects with tetrahedral and hexahedral (brick) elements.
Abstract: Lumped element models, also known as, mass-spring-damper models, are widely used to simulate deformable objects because of their simplicity and computational efficiency. However, the parameters of lumped element models are typically determined in an ad hoc fashion through trial-and-error, as these models are not directly based on continuum mechanics of deformable objects. In this paper, an alternative method to determine the elasticity parameters of lumped element models of deformable objects is presented. The elasticity parameters are determined using an optimization that minimizes the matrix norm of the error between the stiffness matrices of the linear lumped element model and the linear finite element model of the same object. The method has been developed for two-dimensions and for three-dimensional volumetric objects with tetrahedral and hexahedral (brick) elements. The method has been validated by comparing deformation results of the lumped element models with the deformation results given by finite element models, under various tension, and compression loading conditions.
42 citations
TL;DR: In this paper, a thermodynamically consistent constitutive model is proposed to capture important features of the material and possess intrinsic regularization effects while minimising the use of additional phenomenological treatments, and also possessing intrinsic regularisation effects.
41 citations