Finite-Element Plasticity and Metalforming Analysis

G. W. Rowe; C. E. N. Sturgess; P. Hartley; I. Pillinger

doi:10.1017/CBO9780511470981

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This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Hartley, P. Pillinger, I. and Sturgess, C. E. N. 1991. European developments in simulating forming processes using three-dimensional finite-element analysis. JOM, Vol. 43, Issue. 10, p. 12.

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G. W. Rowe, University of Birmingham, C. E. N. Sturgess, University of Birmingham, P. Hartley, University of Birmingham, I. Pillinger, University of Birmingham

Publisher:: Cambridge University Press
Online publication date:: September 2009
Print publication year:: 1991
Online ISBN:: 9780511470981
DOI:: https://doi.org/10.1017/CBO9780511470981

Subjects:: Engineering, Industrial Manufacturing and Operations Engineering, Solid Mechanics and Materials

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Finite Element Plasticity and Metalforming Analysis is concerned with describing a computer based technique for aiding the optimisation of metalforming processes. These methods should enable tool and product designers to reduce development lead times for the introduction of new products, to optimise the process and to help improve the quality and reliability of products. The book is specifically devoted to the finite element method and its use in plasticity problems. It details the theoretical background assuming little previous knowledge, and describes how it can be implemented and used to examine realistic metalforming processes. Forging, rolling and extrusion are typical processes covered, in addition to specific problems such as ductile fracture and how it can be predicted. It is the first text that describes in detail elastic-plastic finite-element theory and how it is used in forming analyses. The technique described can be used to simulate metal flow in 2- and 3-D problems and can provide details of stress, strain, strain-rate and temperature distributions in the workpiece as it is being formed.

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Finite-Element Plasticity and Metalforming Analysis

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Contents

Frontmatter
pp i-iv

Contents
pp v-x

Preface
pp xi-xii

Acknowledgements
pp xiii-xiv

Nomenclature
pp xv-xxvi

1 - General introduction to the finite-element method
pp 1-13

2 - Basic formulation for elastic deformation
pp 14-39

3 - Small-deformation elastic–plastic analysis
pp 40-48

4 - Finite-element plasticity on microcomputers
pp 49-65

5 - Finite-strain formulation for metalforming analysis
pp 66-79

6 - Implementation of the finite-strain formulation
pp 80-115

7 - Practical applications
pp 116-168

8 - Future developments
pp 169-177

Appendix 1 - Derivation of small-strain [B] matrix for 2-D triangular element
pp 178-180

Appendix 2 - Derivation of elastic [D] matrix
pp 181-183

Appendix 3 - Derivation of elastic–plastic [D] matrix
pp 184-187

Appendix 4 - Derivation of small-strain stiffness matrix [K] for plane-stress triangular element
pp 188-190

Appendix 5 - Solution of stiffness equations by Gaussian elimination and back-substitution
pp 191-195

Appendix 6 - Imposition of boundary conditions
pp 196-201

Appendix 7 - Relationship between elastic moduli E, G and κ
pp 202-204

Appendix 8 - Vectors and tensors
pp 205-208

Appendix 9 - Stress in a deforming body
pp 209-215

Appendix 10 - Stress rates
pp 216-217

Appendix 11 - Listing of BASIC program for small-deformation elastic–plastic FE analysis
pp 218-245

Bibliography
pp 246-293

Index
pp 294-297

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