Computational Inelasticity

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Computational Inelasticity
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v
Chapter 1 Motivation. One-Dimensional Plasticity and Viscoplasticity . . . 1
1.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Motivation. One-Dimensional Frictional Models . . . . . . . . . . . . . . . . . . . . 2
1.2.1 Local Governing Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2
1.2.2 An Elementary Model for (Isotropic) Hardening Plasticity . . . . . 9
1.2.3 Alternative Form of the Loading/Unloading Conditions . . . . . . 13
1.2.4 Further Refinements of the Hardening Law . . . . . . . . . . . . . . . . . 17
1.2.5 Geometric Properties of the Elastic Domain . . . . . . . . . . . . . . . . . 19
1.3 The Initial Boundary-Value Problem. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .21
1.3.1 The Local Form of the IBVP . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
1.3.2 The Weak Formulation of the IBVP . . . . . . . . . . . . . . . . . . . . . . . . 24
1.3.3 Dissipation. A priori Stability Estimate . . . . . . . . . . . . . . . . . . . . . 26
1.3.4 Uniqueness of the Solution to the IBVP. Contractivity . . . . . . . . 29
1.3.5 Outline of the Numerical Solution of the IBVP . . . . . . . . . . . . . . 31
1.4 Integration Algorithms for Rate-Independent Plasticity . . . . . . . . . . . . . 32
1.4.1 The Incremental Form of Rate-Independent Plasticity . . . . . . . . 33
1.4.2 Return-Mapping Algorithms. Isotropic Hardening . . . . . . . . . . . 35
1.4.3 Discrete Variational Formulation. Convex Optimization . . . . . . 39
1.4.4 Extension to the Combined Isotropic/Kinematic
Hardening Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
1.5 Finite-Element Solution of the Elastoplastic IBVP. An Illustration . . . 46
1.5.1 Spatial Discretization. Finite-Element Approximation . . . . . . . . 46
1.5.2 Incremental Solution Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . .49
1.6 Stability Analysis of the Algorithmic IBVP . . . . . . . . . . . . . . . . . . . . . . . 53
1.6.1 Algorithmic Approximation to the Dynamic Weak Form. . . . . . 54
1.7 One-Dimensional Viscoplasticity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .57
1.7.1 One-Dimensional Rheological Model . . . . . . . . . . . . . . . . . . . . . . 58
1.7.2 Dissipation. A Priori Stability Estimate . . . . . . . . . . . . . . . . . . . . . 64
1.7.3 An Integration Algorithm for Viscoplasticity . . . . . . . . . . . . . . . . 66

caoer

this is pretty good book, but I dont recommend it to the newbie

iangchy

这本书不是各大论坛上都是免费下载吗 因为他太经典了

Michel

，但是还是不错的

geqing9527

感谢楼主分享

zhuhao3802

您这不是 computational elasticity，这不是片币么