Indifferent Tensors and Invariants

Yu. I. Dimitrienko
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Yu. I. Dimitrienko: Bauman Moscow State Technical University

Chapter Chapter 4 in Tensor Analysis and Nonlinear Tensor Functions, 2002, pp 169-226 from Springer

Abstract: Abstract In paragraph 3.3 we have considered the methods for the description only of geometric symmetry of bodies. Actual physical bodies have certain physical properties (for example, elasticity, compressibility, heat conduction, heat expansion etc.), which are described by some tensors n Ω. These physical properties can possess some symmetry, i.e. they can depend in some way on coordinate transformations. Then, the bodies are said to have anisotropy of physical properties.

Keywords: Symmetry Group; Matrix Representation; Independent Component; Symmetric Tensor; Isotropic Class (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-94-017-3221-5_4

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