Chapter 13. Finite Strain Hyperelasticity

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

Published Online: 4 DEC 2008

DOI: 10.1002/9780470694626.ch13

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 Hyperelasticity, in Computational Methods for Plasticity: Theory and Applications, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470694626.ch13

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 hyperelasticity;
  • principal stretches;
  • Blatz–Ko material;
  • spatial frame – spatial elasticity tensor;
  • spatial tangent modulus;
  • square perforated rubber sheet stretching;
  • square perforated sheet and convergence behaviour

Summary

This chapter contains sections titled:

  • Hyperelasticity: basic concepts

  • Some particular models

  • Isotropic finite hyperelasticity in plane stress

  • Tangent moduli: the elasticity tensors

  • Application: Ogden material implementation

  • Numerical examples

  • Hyperelasticity with damage: the Mullins effect