Chapter 6. The mathematical Theory of Plasticity

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

Published Online: 4 DEC 2008

DOI: 10.1002/9780470694626.ch6

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) The mathematical Theory of Plasticity, in Computational Methods for Plasticity: Theory and Applications, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470694626.ch6

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:

  • mathematical theory of plasticity;
  • one-dimensional constitutive model;
  • axial strain elastoplastic decomposition;
  • yield function and yield criterion;
  • plastic flow rule - loading/unloading conditions;
  • plastic flow rule and hardening law;
  • Tresca criterion and isotropy;
  • Mohr–Coulomb yield criterion

Summary

This chapter contains sections titled:

  • Phenomenological aspects

  • One-dimensional constitutive model

  • General elastoplastic constitutive model

  • Classical yield criteria

  • Plastic flow rules

  • Hardening laws