有限元方法:固体力学和结构力学-第7版

内容简介

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　　《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**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。

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目录

List of FiguresList of TablesPrefaceCHAPTER 1 General Problems in Solid Mechanics andNonlinearity1．1 Introduction1．2 Small deformation solid mechanics problems1．2．1 Strong form of equation： Indicial notation1．2．2 Matrix notation1．2．3 Two-dimensional problems1．3 Variational forms for nonlinear elasticity1．4 Weak forms of governing equations1．4．1 Weak form for equilibrium equation1．5 Concluding remarksReferencesCHAPTER 2 Galerkin Method of Approximation： Irreducibleand Mixed Forms2．1 Introduction2．2 Finite element approximation： Galerkin method2．2．1 Displacement approximation2．2．2 Derivatives2．2．3 Strain-displacement equations2．2．4 Weak form2．2．5 Irreducible displacement method2．3 Numerical integration： Quadrature2．3．1 Volume integrals2．3．2 Surface integrals2．4 Nonlinear transient and steady-state problems2．4．1 Explicit Newmark method2．4．2 Implicit Newmark method2．4．3 Generalized midpoint implicit form2．5 Boundary conditions： Nonlinear problems2．5．1 Displacement condition2．5．2 Traction condition2．5．3 Mixed displacement/traction condition9．6 Mixed or irreducible forms2．6．1 Deviatoric and mean stress and strain components2．6．2 A three-field mixed method for general constitutive models2．6．3 Local approximation ofp and 02．6．4 Continuous u-p approximation2．7 Nonlinear quasi-harmonic field problems2．8 Typical examples of transient nonlinear calculations2．8．1 Transient heat conduction2．8．2 Structural dynamics2．8．3 Earthquake response of soil structures2．9 Concluding remarksReferencesCHAPTER 3 Solution of Nonlinear Algebraic Equations3．1 Introduction3．2 Iterative techniques3．2．1 General remarks3．2．2 Newton’s method3．2．3 Modified Newton’s method3．2．4 Incremental-secant or quasi-Newton methods3．2．5 Line search procedures： Acceleration of convergence3．2．6 “Softening” behavior and displacement control3．2．7 Convergence criteria3．3 General remarks： Incremental and rate methodsReferencesCHAPTER 4 Inelastic and Nonlinear Materials4．1 Introduction4．2 Tensor to matrix representation4．3 Viscoelasticity： History dependence of deformation4．3．1 Linear models for viscoelasticity4．3．2 Isotropic models4．3．3 Solution by analogies4．4 Classical time-independent plasticity theory4．4．1 Yield functions4．4．2 Flow rule （normality principle）4．4．3 Hardening/softening rules4．4．4 Plastic stress-strain relations4．5 Computation of stress increments……

封面

书名:有限元方法:固体力学和结构力学-第7版

作者:辛克维奇

页数:624

定价:¥145.0

出版社:世界图书出版公司

出版日期:2015-07-01

ISBN:9787510098499

PDF电子书大小:145MB 高清扫描完整版