Chapter 14. Finite Strain Elastoplasticity

  1. E. A. de Souza Neto,
  2. D. Perić and
  3. D. R. J. Owen

Published Online: 4 DEC 2008

DOI: 10.1002/9780470694626.ch14

Computational Methods for Plasticity: Theory and Applications

Computational Methods for Plasticity: Theory and Applications

How to Cite

de Souza Neto, E. A., Perić, D. and Owen, D. R. J. (2008) Finite Strain Elastoplasticity, in Computational Methods for Plasticity: Theory and Applications, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470694626.ch14

Author Information

  1. Civil and Computational Engineering Centre, Swansea University, UK

Publication History

  1. Published Online: 4 DEC 2008
  2. Published Print: 24 OCT 2008

ISBN Information

Print ISBN: 9780470694527

Online ISBN: 9780470694626

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Keywords:

  • finite strain elastoplasticity;
  • elastic and plastic stretch and rotation tensors;
  • equivalent elastic rate-based equations;
  • volume-preserving plastic deformations;
  • elastic predictor/return-mapping scheme;
  • small-strain elastic or elastoplastic consistent tangent operator;
  • plane stress-projected finite von Mises model;
  • sheet metal-forming operation

Summary

This chapter contains sections titled:

  • Finite strain elastoplasticity: a brief review

  • One-dimensional finite plasticity model

  • General hyperelastic-based multiplicative plasticity model

  • The general elastic predictor/return-mapping algorithm

  • The consistent spatial tangent modulus

  • Principal stress space-based implementation

  • Finite plasticity in plane stress

  • Finite viscoplasticity

  • Examples

  • Rate forms: hypoelastic-based plasticity models

  • Finite plasticity with kinematic hardening