Encyclopedia of Continuum Mechanics

Table of Contents

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   Book Overview
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   Chapter 13 Finite Element Methods
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   Chapter 15 Meshless Discretization Methods
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   Chapter 16 Discrete Element and Particle Methods
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   Chapter 17 Extended Finite Element Methods (XFEM)
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   Chapter 20 Weighted Residual Methods for Finite Elements
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   Chapter 21 Nonlinear Computations
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   Chapter 23 Computational Methods for Coupled Problems
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   Chapter 24 Euler, Leonhard
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    Chapter 25 Lurie, Anatoli Isakowitsch
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    Chapter 26 Vorovich, Iosif Izrailevich
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    Chapter 27 Aero, Eron Lyuttovich
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    Chapter 49 Cosserat, Eugène and François
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    Chapter 51 Piola, Gabrio
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    Chapter 54 Vibrations of Rods and Beams
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    Chapter 55 Constitutive Modeling of Beams Using Mechanics of Structure Genome
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    Chapter 56 Invariant Manifolds in Beam Dynamics: Free Vibrations and Nonlinear Normal Modes
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    Chapter 57 Coleman–Noll Procedure for Classical and Generalized Continuum Theories
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    Chapter 58 Truesdell’s and Zhilin’s Approaches: Derivation of Constitutive Equations
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    Chapter 60 Entropy Principle Exploited by Lagrange Multipliers
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    Chapter 61 System of Symmetric Hyperbolic Equations, Extended Thermodynamics of Gases
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    Chapter 62 Thermoelastic Waves in a Medium with Heat-Flux Relaxation
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    Chapter 63 Dispersion Relations for the Coupled Hyperbolic Thermoelasticity
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    Chapter 64 Nonlocal Transport Equations for Small Systems and Fast Processes
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    Chapter 66 Thermal Effects by Means of Two-Component Cosserat Continuum
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    Chapter 67 Discrete and Continuum Thermomechanics
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    Chapter 68 Non-Gaussian Random Fields in Multiscale Mechanics of Heterogeneous Materials
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    Chapter 69 Continuum Mechanics of Fractal Media
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    Chapter 70 Morphological Models
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    Chapter 92 Hierarchical Modeling of Functionally Graded Beams
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    Chapter 94 Hygrothermoelastic Stress in Organic Matrix Composite Materials
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    Chapter 95 Buckling and Postbuckling of Composite Plates and Shells
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    Chapter 96 Boundary Element Method for Composite Laminates
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    Chapter 110 Strain Gradient Plasticity
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    Chapter 111 Computational Mechanics of Generalized Continua
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    Chapter 130 Noll, Walter
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    Chapter 131 Direct Derivation of Plate Theories
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    Chapter 132 3D Derivations of Static Plate Theories
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    Chapter 133 Classical Plate Problems
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    Chapter 135 Limit Analysis of Plates
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    Chapter 138 Mathematical Justifications of Plate Models
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    Chapter 140 Axiomatic/Asymptotic Method and Best Theory Diagram for Composite Plates and Shells
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    Chapter 144 Thermoelastic Diffusion Theory for Piezoelectric Materials
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    Chapter 145 Thermomechanical Processing of Steels and Alloys: Multilevel Modeling
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    Chapter 146 Kinetic Theory and Thermodynamics, Non-equilibrium Reacting Gas Flows
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    Chapter 147 Zhilin, Pavel Andreevich
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    Chapter 149 Cosserat Media
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    Chapter 151 Higher Gradient Theories and Their Foundations
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    Chapter 153 Dislocations and Cracks in Generalized Continua
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    Chapter 175 Variational Principles in Numerical Practice
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    Chapter 176 Variational Methods in the Theory of Beams and Lattices
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    Chapter 194 Elastic Shells, Linear Shear-Deformable Theory
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    Chapter 197 On Treatment of Finite Rotations in FEM Analyses of Irregular Shell Structures
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    Chapter 199 Variational Methods in Continuum Damage and Fracture Mechanics
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    Chapter 200 Finite Dimensional Lagrangian Systems
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    Chapter 213 Vectors
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    Chapter 225 Anisotropic Plasticity and Application to Plane Stress
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    Chapter 231 Elastic Waves in Microstructured Solids
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    Chapter 232 Surface Waves
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    Chapter 235 Nonlinear Waves in Continuous Media
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    Chapter 251 Relation Between Eshelbyan Mechanics and Topological Derivative Concept