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A new proof of the representation theorem for isotropic, linear constitutive relations

✍ Scribed by L. C. Martins; P. Podio Guidugli

Publisher
Springer Netherlands
Year
1978
Tongue
English
Weight
185 KB
Volume
8
Category
Article
ISSN
0374-3535

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πŸ“œ SIMILAR VOLUMES

The representation theorem for isotropic
The representation theorem for isotropic, linear asymmetric stress-strain relations
✍ Zhong-Heng Guo πŸ“‚ Article πŸ“… 1983 πŸ› Springer Netherlands 🌐 English βš– 150 KB

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):

On the representation theorem for linear
On the representation theorem for linear, isotropic tensor functions
✍ K. A. Pericak-Spector; Scott J. Spector πŸ“‚ Article πŸ“… 1995 πŸ› Springer Netherlands 🌐 English βš– 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