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The representation theorem for isotropic, linear asymmetric stress-strain relations

โœ Scribed by Zhong-Heng Guo


Publisher
Springer Netherlands
Year
1983
Tongue
English
Weight
150 KB
Volume
13
Category
Article
ISSN
0374-3535

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โœฆ Synopsis


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):


๐Ÿ“œ SIMILAR VOLUMES


On the representation theorem for linear
โœ K. A. Pericak-Spector; Scott J. Spector ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 203 KB

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