Invariants of C1/2 in terms of the invariants of C

被引:5
作者
Norris, Andrew N. [1 ]
机构
[1] Rutgers State Univ, Piscataway, NJ 08854 USA
关键词
invariants; finite elasticity; stretch tensors; polar decomposition;
D O I
10.2140/jomms.2007.2.1805
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The three invariants of C-1/2 are key to expressing this tensor and its inverse as a polynomial in C. Simple and symmetric expressions are presented connecting the two sets of invariants {I-1, I-2, I-3} and {i(1), i(2), i(3)} of C and C-1/2, respectively. The first result is a bivariate function relating I-1, I-2 to i(1), i(2). The functional form of i(1) is the same as that of i(2) when the roles of the C-invariants are reversed. The second result expresses the invariants using a single function call. The two sets of expressions emphasize symmetries in the relations among these four invariants.
引用
收藏
页码:1805 / 1812
页数:8
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