作者：辛克维奇
页数：624
出版社：世界图书出版公司
出版日期：2015
ISBN：9787510098499
电子书格式：pdf/epub/txt
内容简介
《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第一的核心知识和数学、分析工具，因此该书是研究生、科研工作者和工程师选择的。
作者简介
O.C.Zienkiewicz是有限元数值方法研究的先驱者之一，长期处于世界前沿，对现代数值计算中的有限元法作出了系统性和创造性的开拓和发展，在有限元法许多具方向性的重大进展上都作出了重要贡献。
目录
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
……
