The subject of computational plasticity encapsulates the numerical
methods used for the finite element simulation of the behaviour of
a wide range of engineering materials considered to be plastic

i.e. those that undergo a permanent change of shape in
response to an applied force. Computational Methods for
Plasticity: Theory and Applications describes the theory of the
associated numerical methods for the simulation of a wide range of
plastic engineering materials; from the simplest infinitesimal
plasticity theory to more complex damage mechanics and finite
strain crystal plasticity models. It is split into three parts -
basic concepts, small strains and large strains. Beginning with
elementary theory and progressing to advanced, complex theory and
computer implementation, it is suitable for use at both
introductory and advanced levels. The book:
Offers a self-contained text that allows the reader to learn
computational plasticity theory and its implementation from one
volume.
Includes many numerical examples that illustrate the
application of the methodologies described.
Provides introductory material on related disciplines and
procedures such as tensor analysis, continuum mechanics and finite
elements for non-linear solid mechanics.
Is accompanied by purpose-developed finite element software
that illustrates many of the techniques discussed in the text,
downloadable from the book's companion website.

This comprehensive text will appeal to postgraduate and graduate
students of civil, mechanical, aerospace and materials engineering
as well as applied mathematics and courses with computational
mechanics components. It will also be of interest to research
engineers, scientists and software developers working in the field
of computational solid mechanics.

Autorentext

Eduardo de Souza Neto is a senior lecturer at the School of Engineering, University of Wales, Swansea, where he teaches a postgraduate course on the finite element method, and undergraduate courses on structural mechanics and soil mechanics. He also currently teaches external courses on computational plasticity; and his research interests include, amongst others, damage mechanics, computational plasticity, contact with friction and finite element technology. He is an international advisory board member for the Latin American Journal of Solids and Structures, and has authored 30 papers in refereed research journals as well as many conference papers, and 4 book contributions.

David Owen is Professor in Civil Engineering at the University of Wales, Swansea, and chairman of Rockfield Software Ltd. He is an international authority on finite element and discrete element techniques, and is the author of seven textbooks and over three hundred and fifty scientific publications. In addition to being the editor of over thirty monographs and conference proceedings, Professor Owen is also the editor of the International Journal for Engineering Computations and is a member of several Editorial Boards. His involvement in academic research has lead to the supervision of over sixty Ph.D. students. Professor Owen is a fellow of the RAE and ICE.

Djordje Peric is Professor in the Department of Civil Engineering, University of Wales, Swansea. He has an established reputation in the field of non-linear computational mechanics and is the author of over 150 research publications. He has also edited two special journal issues, and serves as an editorial board member of five international academic journals. Over the last decade Professor Peric has attracted approximately £2.5 million of research grants and funding from the UK Engineering and Physical Sciences Research Council, and various industries including Unilever, British Steel, Rolls Royce, MIC and Rockfield Software.

Zusammenfassung
The subject of computational plasticity encapsulates the numerical methods used for the finite element simulation of the behaviour of a wide range of engineering materials considered to be plastic i.e. those that undergo a permanent change of shape in response to an applied force. Computational Methods for Plasticity: Theory and Applications describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models. It is split into three parts - basic concepts, small strains and large strains. Beginning with elementary theory and progressing to advanced, complex theory and computer implementation, it is suitable for use at both introductory and advanced levels. The book:

Offers a self-contained text that allows the reader to learn computational plasticity theory and its implementation from one volume.
Includes many numerical examples that illustrate the application of the methodologies described.
Provides introductory material on related disciplines and procedures such as tensor analysis, continuum mechanics and finite elements for non-linear solid mechanics.
Is accompanied by purpose-developed finite element software that illustrates many of the techniques discussed in the text, downloadable from the book's companion website.
This comprehensive text will appeal to postgraduate and graduate students of civil, mechanical, aerospace and materials engineering as well as applied mathematics and courses with computational mechanics components. It will also be of interest to research engineers, scientists and software developers working in the field of computational solid mechanics.

Inhalt
Part One Basic concepts
1 Introduction
1.1 Aims and scope
1.2 Layout
1.3 General scheme of notation

2 ELEMENTS OF TENSOR ANALYSIS
2.1 Vectors
2.2 Second-order tensors
2.3 Higher-order tensors
2.4 Isotropic tensors
2.5 Differentiation
2.6 Linearisation of nonlinear problems

3 THERMODYNAMICS
3.1 Kinematics of deformation
3.2 Infinitesimal deformations
3.3 Forces. Stress Measures
3.4 Fundamental laws of thermodynamics
3.5 Constitutive theory
3.6 Weak equilibrium. The principle of virtual work
3.7 The quasi-static initial boundary value problem

4 The finite element method in quasi-static nonlinear solid mechanics
4.1 Displacement-based finite elements
4.2 Path-dependent materials. The incremental finite element procedure
4.3 Large strain formulation
4.4 Unstable equilibrium. The arc-length method

5 Overview of the program structure
5.1 Introduction
5.2 The main program
5.3 Data input and initialisation
5.4 The load incrementation loop. Overview
5.5 Material and element modularity
5.6 Elements. Implementation and management
5.7 Material models: implementation and management

**Part Two Small strains
6 The mathematical theory of plasticity
6.1 Phenomenological aspects
6.2 One-dimensional constitutive model
6.3 General elastoplastic constitutive model
6.4 Classical yield criteria
6.5 Plastic flow rules
6.6 Hardening laws

**7 Finite elements in small-strain plasticity problems
7.1 Preliminary implementation aspects
7.2 General numerical integration algorithm for elastoplastic constitutive equations
7.3 Application: integration algorithm for the isotropically hardening von Mises model
7.4 The consistent tangent modulus
7.5 Numerical examples with the von Mises model
7.6 Further application: the von Mises model with nonlinear mixed hardening

8 Computations with other basic plasticity models
8.1 The Tresca model
8.2 The Mohr-Coulomb model
8.3 The Drucker-Prager model
8.4 Examples

9 Plane stress plasticity
9.1 The basic plane stress plasticity pro…