Chapter 16. Anisotropic Finite Plasticity: Single Crystals

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

Published Online: 4 DEC 2008

DOI: 10.1002/9780470694626.ch16

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) Anisotropic Finite Plasticity: Single Crystals, in Computational Methods for Plasticity: Theory and Applications, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470694626.ch16

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:

  • anisotropic finite plasticity and single crystals;
  • plastic flow equation;
  • multisurface plastic flow rule;
  • elastic predictor/return-mapping algorithm;
  • active set determination algorithm;
  • Newton–Raphson iterations;
  • consistent spatial tangent modulus;
  • rectangular strip strain localisation

Summary

This chapter contains sections titled:

  • Physical aspects

  • Plastic slip and the Schmid resolved shear stress

  • Single crystal simulation: a brief review

  • A general continuum model of single crystals

  • A general integration algorithm

  • An algorithm for a planar double-slip model

  • The consistent spatial tangent modulus

  • Numerical examples

  • Viscoplastic single crystals