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Zbl 0969.74009
Zheng, Q.-S.; Zou, W.-N.
Irreducible decompositions of physical tensors of high orders. (English)
[J] J. Eng. Math. 37, No.1-3, 273-288 (2000). ISSN 0022-0833; ISSN 1573-2703/e

Summary: We use the term `physical tensor' 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 irreducible decompositions of physical tensors, even prior to the constructions of irreducible decompositions. Some examples are shown, and many of them are new results.

MSC 2000:: *74A99 Generalities, etc. of continuum mechanics of solids
74B99 Elasitc materials
15A72 Vector and tensor algebra

Keywords: physical tensor; deviatoric tensors; high-order tensors; elasticity; tensor subspace; rotation representation; irreducible decompositions

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