Chapter 2. Elements of Tensor Analysis

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

Published Online: 4 DEC 2008

DOI: 10.1002/9780470694626.ch2

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) Elements of Tensor Analysis, in Computational Methods for Plasticity: Theory and Applications, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470694626.ch2

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:

  • tensor analysis elements;
  • orthogonal bases and cartesian coordinate frames;
  • transpose - symmetric and skew tensors;
  • tensor products;
  • cartesian components and matrix representation;
  • trace, inner product and Euclidean norm;
  • spectral decomposition;
  • generic tensors of order

Summary

This chapter contains sections titled:

  • Vectors

  • Second-order tensors

  • Higher-order tensors

  • Isotropic tensors

  • Differentiation

  • Linearisation of nonlinear problems