✦ LIBER ✦

The Representation Theorem for Linear, Isotropic Tensor Functions Revisited

✍ Scribed by L.C. Martins

Book ID: 110253029
Publisher: Springer Netherlands
Year: 1999
Tongue: English
Weight: 38 KB
Volume: 54
Category: Article
ISSN: 0374-3535
DOI: 10.1023/a:1007670704239

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The well-know representation theorem for the elasticity tensor C of an isotropic body shows that for all symmetric tensors E, where tr(E) denotes the trace of E and I is the identity tensor. This theorem is actually a special case of a classical result (cf. e.g. [Je 31, Chapter 7]) on linear, tenso

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asymmetric In 1974, Gurtin [1] gave an elegant proof of the representation theorem for isotropic, linear stress-strain relations, considerably improving the one supplied by the same author in [2]. We cite this theorem literally as follows (notations will be explained subsequently):