Details:
| Title | Minimal rotationally invariant bases for hyperelasticity. | | Author(s) | Gregory H. Miller | | Type | Article in Journal | | Abstract | Rotationally invariant polynomial bases of the hyperelastic strain energy function are rederived using methods of group theory, invariant theory, and computational algebra. A set of minimal basis functions is given for each of the 11 Laue groups, with a complete set of rewriting syzygies. The ideal generated from this minimal basis agrees with the classic work of Smith and Rivlin [Trans. Amer. Math. Soc., 88 (1958), pp. 175--193]. However, the structure of the invariant algebra described here calls for fewer terms, beginning with the fourth degree in strain, for most groups.
| | ISSN | 0036-1399; 1095-712X/e |
| URL |
http://epubs.siam.org/doi/abs/10.1137/S0036139903438776 |
| Language | English | | Journal | SIAM J. Appl. Math. | | Volume | 64 | | Number | 6 | | Pages | 2050--2075 | | Publisher | Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA | | Year | 2004 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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