图书信息

作者简介

内容简介

目录

图书信息

出版社: 世界图书出版公司; 第6版 (2009年1月1日)

平装: 631页

正文语种: 英语

开本: 24

ISBN: 9787506292559

条形码: 9787506292559

尺寸: 22.4 x 14.8 x 3 cm

重量: 821 g

作者简介

作者：(英国)监凯维奇 (Zienkiewicz.O.C)

内容简介

《有限元方法固体力学和结构力学(第6版)》is dedicated to our wives Helen and Mary Lou and our families for their support and patience during the preparation of this book，and also to all of our students and colleagues who over the years have contributed to our knowledge of the finite element method。 In particular we would like to mention Professor Eugenio Onate and his group at CIMNE for their help, encouragement and support during the preparation process。

目录

Preface

1. General problems in solid mechanics and non-linearity

1.1 Introduction

1.2 Small deformation solid mechanics problems

1.3 Variational forms for non-linear elasticity

1.4 Weak forms of governing equations

1.5 Concluding remarks

References

2. Galerkin method of approximation - irreducible and mixed forms

2.1 Introduction

2.2 Finite element approximation - Galerkin method

2.3 Numerical integration - quadrature

2.4 Non-linear transient and steady-state problems

2.5 Boundary conditions: non-linear problems

2.6 Mixed or irreducible forms

2.7 Non-linear quasi-harmonic field problems

2.8 Typical examples of transient non-linear calculations

2.9 Concluding remarks

References

3. Solution of non-linear algebraic equations

3.1 Introduction

3.2 Iterative techniques

3.3 General remarks - incremental and rate methods

References

4. Inelastic and non-linear materials

4.1 Introduction

4.2 Viscoelasticity - history dependence of deformation

4.3 Classical time-independent plasticity theory

4.4 Computation of stress increments

4.5 Isotropic plasticity models

4.6 Generalized plasticity

4.7 Some examples of plastic computation

4.8 Basic formulation of creep problems

4.9 Viscoplasticity - a generalization

4.10 Some special problems of brittle materials

4.11 Non-uniqueness and localization in elasto-plastic deformations

4.12 Non-linear quasi-harmonic field problems

4.13 Concluding remarks

References

5. Geometrically non-linear problems - finite deformation

5.1 Introduction

5.2 Governing equations

5.3 Variational description for finite deformation

5.4 Two-dimensional forms

5.5 A three-field, mixed finite deformation formulation

5.6 A mixed-enhanced finite deformation formulation

5.7 Forces dependent on deformation - pressure loads

5.8 Concluding remarks

References

6. Material constitution for finite deformation

6.1 Introduction

6.2 Isotropic elasticity

6.3 Isotropic viscoelasticity

6.4 Plasticity models

6.5 Incremental formulations

6.6 Rate constitutive models

6.7 Numerical examples

6.8 Concluding remarks

References

7. Treatment of constraints - contact and tied interfaces

7.1 Introduction

7.2 Node-node contact: Hertzian contact

7.3 Tied interfaces

7.4 Node-surface contact

7.5 Surface-surface contact

7.6 Numerical examples

7.7 Concluding remarks

References

8. Pseudo-rigid and rigid-flexible bodies

8.1 Introduction

8.2 Pseudo-rigid motions

8.3 Rigid motions

8.4 Connecting a rigid body to a flexible body

8.5 Multibody coupling by joints

8.6 Numerical examples　References

References

9. Discrete element methods

9.1 Introduction

9.2 Early DEM formulations

9.3 Contact detection

9.4 Contact constraints and boundary conditions

9.5 Block deformability

9.6 Time integration for discrete element methods

9.7 Associated discontinuous modelling methodologies

9.8 Unifying aspects of discrete element methods

9.9 Concluding remarks

References

10. Structural mechanics problems in one dimension - rods

10.1 Introduction

10.2 Governing equations

10.3 Weak (Gaierkin) forms for rods

10.4 Finite element solution: Euler-Bernoulli rods

10.5 Finite element solution: Timoshenko rods

10.6 Forms without rotation parameters

10.7 Moment resisting frames

10.8 Concluding remarks

References

11. Plate bending approximation: thin (Kirchhoff) plates and C1 continuity requirements

11.1 Introduction

11.2 The plate problem: thick and thin formulations

11.3 Rectangular element with corner nodes (12 degrees of freedom)

11.4 Quadrilateral and parallelogram elements

11.5 Triangular element with corner nodes (9 degrees of freedom)

11.6 Triangular element of the simplest form (6 degrees of freedom)

11.7 The patch test - an analytical requirement

11.8 Numerical examples

11.9 General remarks

11.10 Singular shape functions for the simple triangular element

11.11 An I8 degree-of-freedom triangular element with conforming shape functions

11.12 Compatible quadrilateral elements

11.13 Quasi-conforming elemems

11.14 Hermitian rectangle shape function

11.15 The 21 and 18 degree-of-freedom triangle

11.16 Mixed formulations - general remarks

11.17 Hybrid plate elements

11.18 Discrete Kirchhoff constraints

11.19 Rotation-free elements

11.20 Inelastic material behaviour

11.21 Concluding remarks - which elements?

References

12. 'Thick' Reissner-Mindlin plates - irreducible and mixed formulations

12.1 Introduction

12.2 The irreducible formulation - reduced integration

12.3 Mixed formulation for thick plates

12.4 The patch test for plate bending elements

12.5 Elements with discrete collocation constraints

12.6 Elements with rotational bubble or enhanced modes

12.7 Linked interpolation - an improvement of accuracy

12.8 Discrete 'exact' thin plate limit

12.9 Performance of various 'thick' plate elements - limitations of thin plate theory

12.10 Inelastic material behaviour

12.11 Concluding remarks-adaptive refinement

References

13. Shells as an assembly of flat elements

13.1 Introduction

13.2 Stiffness of a plane element in local coordinates

13.3 Transformation to global coordinates and assembly of elements

13.4 Local direction cosines

13.5 'Drilling' rotational stiffness - 6 degree-of-freedom assembly

13.6 Elements with mid-side slope connections only

13.7 Choice of element

13.8 Practical examples

References

14. Curved rods and axisymmetric shells

14.1 Introduction

14.2 Straight element

14.3 Curved elements

14.4 Independent slope——displacement interpolation with penalty functions (thick or thin shell formulations)

References

15. Shells as a special case of three-dimensional analysis - Reissner-Mindlin assumptions

15.1 Introduction

15.2 Shell element with displacement and rotation parameters

15.3 Special case of axisymmetric, curved, thick shells

15.4 Special case of thick plates

……

16. Semi-analytical finite element processes - use of orthogonal functions

17. Non-linear structural problems - large displacement and instability

18. Multiscale modelling

19. Computer procedures for finite element analysis

Appendix A Isoparametric finite element approximations

Appendix B Invariants of second-order tensors

Author index

Subject index