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. 175193]. However, the structure of the invariant algebra described here calls for fewer terms, beginning with the fourth degree in strain, for most groups.
 ISSN  00361399; 1095712X/e 
URL 
http://epubs.siam.org/doi/abs/10.1137/S0036139903438776 
Language  English  Journal  SIAM J. Appl. Math.  Volume  64  Number  6  Pages  20502075  Publisher  Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA  Year  2004  Edition  0  Translation 
No  Refereed 
No 
