Invariants of C$^{1/2}$ in terms of the invariants of C

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dc.creatorNorris, Andrew N.
dc.date2007-03-05
dc.date.accessioned2026-07-07T08:45:55Z
dc.date.available2026-07-07T08:45:55Z
dc.descriptionThe 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 call to a single function. The two sets of expressions emphasize symmetries in the relations among these four invariants.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0703110
dc.identifierhttp://arxiv.org/abs/cond-mat/0703110
dc.identifierJ. Mech. Materials Struct. 2(9), 1805-1812, 2007.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143116
dc.subjectMaterials Science
dc.titleInvariants of C$^{1/2}$ in terms of the invariants of C
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