The Finite Element Method for Solid and Structural Mechanics

7th Edition

Authors: Olek Zienkiewicz Robert Taylor
Hardcover ISBN: 9781856176347
eBook ISBN: 9780080951362
Imprint: Butterworth-Heinemann
Published Date: 24th October 2013
Page Count: 672
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Table of Contents

Author Biography

Dedication

List of Figures

List of Tables

Preface

Chapter 1. General Problems in Solid Mechanics and Nonlinearity

Abstract

1.1 Introduction

1.2 Small deformation solid mechanics problems

1.3 Variational forms for nonlinear elasticity

1.4 Weak forms of governing equations

1.5 Concluding remarks

References

Chapter 2. Galerkin Method of Approximation: Irreducible and Mixed Forms

Abstract

2.1 Introduction

2.2 Finite element approximation: Galerkin method

2.3 Numerical integration: Quadrature

2.4 Nonlinear transient and steady-state problems

2.5 Boundary conditions: Nonlinear problems

2.6 Mixed or irreducible forms

2.7 Nonlinear quasi-harmonic field problems

2.8 Typical examples of transient nonlinear calculations

2.9 Concluding remarks

References

Chapter 3. Solution of Nonlinear Algebraic Equations

Abstract

3.1 Introduction

3.2 Iterative techniques

3.3 General remarks: Incremental and rate methods

References

Chapter 4. Inelastic and Nonlinear Materials

Abstract

4.1 Introduction

4.2 Tensor to matrix representation

4.3 Viscoelasticity: History dependence of deformation

4.4 Classical time-independent plasticity theory

4.5 Computation of stress increments

4.6 Isotropic plasticity models

4.7 Generalized plasticity

4.8 Some examples of plastic computation

4.9 Basic formulation of creep problems

4.10 Viscoplasticity: A generalization

4.11 Some special problems of brittle materials

4.12 Nonuniqueness and localization in elasto-plastic deformations

4.13 Nonlinear quasi-harmonic field problems

4.14 Concluding remarks

References

Chapter 5. Geometrically Nonlinear Problems: Finite Defo


Description

The Finite Element Method for Solid and Structural Mechanics is the key text and reference for engineers, researchers and senior students dealing with the analysis and modeling of structures, from large civil engineering projects such as dams to aircraft structures and small engineered components.

This edition brings a thorough update and rearrangement of the book’s content, including new chapters on:

  • Material constitution using representative volume elements
  • Differential geometry and calculus on manifolds
  • Background mathematics and linear shell theory

Focusing on the core knowledge, mathematical and analytical tools needed for successful structural analysis and modeling, The Finite Element Method for Solid and Structural Mechanics is the authoritative resource of choice for graduate level students, researchers and professional engineers.

Key Features

  • A proven keystone reference in the library of any engineer needing to apply the finite element method to solid mechanics and structural design.
  • Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience.
  • Features new chapters on topics including material constitution using representative volume elements, as well as consolidated and expanded sections on rod and shell models.

Readership

Mechanical, Civil, Structural, Aerospace and Manufacturing Engineers, applied mathematicians and computer aided engineering software developers


Details

No. of pages:
672
Language:
English
Copyright:
© Butterworth-Heinemann 2014
Published:
Imprint:
Butterworth-Heinemann
Hardcover ISBN:
9781856176347
eBook ISBN:
9780080951362

Reviews

"...most up to date and comprehensive reference yet on the finite element method for engineers and mathematicians...part of a collection of 3 other books on the Finite Element Method... Renowned for their scope, range and authority..."--MCADCafe, March 12, 2014

"Focusing on the core knowledge, mathematical and analytical tools needed for successful structural analysis and modeling,The Finite Element Method for Solid and Structural Mechanics is the authoritative resource of choice for graduate level students, researchers and professional engineers."--MCADCafe.com, March 12, 2014

"...this is a book that you simply cannot afford to be without."--International Journal of Numerical Methods in Engineering


About the Authors

Olek Zienkiewicz Author

O. C. Zienkiewicz was one of the early pioneers of the finite element method and is internationally recognized as a leading figure in its development and wide-ranging application. He was awarded numerous honorary degrees, medals and awards over his career, including the Royal Medal of the Royal Society and Commander of the British Empire (CBE). He was a founding author of The Finite Element Method books and developed them through six editions over 40 years up to his death in 2009.

Affiliations and Expertise

Finite element method pioneer and former UNESCO Professor of Numerical Methods in Engineering, Barcelona, Spain

Robert Taylor Author

R. L. Taylor is Emeritus Professor of Engineering and Professor in the Graduate School, Department of Civil and Environmental Engineering at the University of California, Berkeley.

Affiliations and Expertise

Emeritus Professor of Engineering, University of California, Berkeley, USA.