Journal of Engineering Mathematics

, Volume 37, Issue 1, pp 273–288

Irreducible decompositions of physical tensors of high orders

  • Q.-S. Zheng
  • W.-N. Zou

DOI: 10.1023/A:1004754832099

Cite this article as:
Zheng, QS. & Zou, WN. Journal of Engineering Mathematics (2000) 37: 273. doi:10.1023/A:1004754832099


In this paper we use the term 'physical tensor' to stand for a tensor that belongs to a tensor subspace. Based on the relationship among the characters of rotation representation, some techniques are developed in order to give the numbers of independent deviatoric tensors contained in the irreducible decompositions of physical tensors, even prior to the constructions of the irreducible decompositions. A number of examples are shown and many of them are new results.

irreducible decompositions deviatoric tensors high-order tensors elasticity. 

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Q.-S. Zheng
    • 1
  • W.-N. Zou
    • 2
  1. 1.Department of Engineering MechanicsTsinghua UniversityBeijingChina
  2. 2.Department of Engineering MechanicsTsinghua UniversityBeijingChina

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