有限元方法--固体力学和结构力学(第7版)(英文版)

O.C.Zienkiewicz R.L.Taylor D.D.Fox著的《 有限元方法--固体力学和结构力学(第7版)(英文版) 》重点讲述了成功的结构分析和模拟所必备的核心知 识和数学、分析工具，因此该书是研究生、科研工作 者和工程师选择的。

List of Figures List of Tables Preface CHAPTER 1 General Problems in Solid Mechanics and Nonlinearity 1.1 Introduction 1.2 Small deformation solid mechanics problems 1.2.1 Strong form of equation: Indicial notation 1.2.2 Matrix notation 1.2.3 Two-dimensional problems 1.3 Variational forms for nonlinear elasticity 1.4 Weak forms of governing equations 1.4.1 Weak form for equilibrium equation 1.5 Concluding remarks References CHAPTER 2 Galerkin Method of Approximation: Irreducible and Mixed Forms 2.1 Introduction 2.2 Finite element approximation: Galerkin method 2.2.1 Displacement approximation 2.2.2 Derivatives 2.2.3 Strain-displacement equations 2.2.4 Weak form 2.2.5 Irreducible displacement method 2.3 Numerical integration: Quadrature 2.3.1 Volume integrals 2.3.2 Surface integrals 2.4 Nonlinear transient and steady-state problems 2.4.1 Explicit Newmark method 2.4.2 Implicit Newmark method 2.4.3 Generalized midpoint implicit form 2.5 Boundary conditions: Nonlinear problems 2.5.1 Displacement condition 2.5.2 Traction condition 2.5.3 Mixed displacement/traction condition 9.6 Mixed or irreducible forms 2.6.1 Deviatoric and mean stress and strain components 2.6.2 A three-field mixed method for general constitutive models 2.6.3 Local approximation ofp and 0 2.6.4 Continuous u-p approximation 2.7 Nonlinear quasi-harmonic field problems 2.8 Typical examples of transient nonlinear calculations 2.8.1 Transient heat conduction 2.8.2 Structural dynamics 2.8.3 Earthquake response of soil structures 2.9 Concluding remarks References CHAPTER 3 Solution of Nonlinear Algebraic Equations 3.1 Introduction 3.2 Iterative techniques 3.2.1 General remarks 3.2.2 Newton's method 3.2.3 Modified Newton's method 3.2.4 Incremental-secant or quasi-Newton methods 3.2.5 Line search procedures: Acceleration of convergence 3.2.6 "Softening" behavior and displacement control 3.2.7 Convergence criteria 3.3 General remarks: Incremental and rate methods References CHAPTER 4 Inelastic and Nonlinear Materials 4.1 Introduction 4.2 Tensor to matrix representation 4.3 Viscoelasticity: History dependence of deformation 4.3.1 Linear models for viscoelasticity 4.3.2 Isotropic models 4.3.3 Solution by analogies 4.4 Classical time-independent plasticity theory 4.4.1 Yield functions 4.4.2 Flow rule (normality principle) 4.4.3 Hardening/softening rules 4.4.4 Plastic stress-strain relations 4.5 Computation of stress increments ……