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An irreducible function basis of isotropic invariants of a third order three-dimensional symmetric tensor. (English) Zbl 1467.74009

Summary: In this paper, we present an eleven invariant isotropic irreducible function basis of a third order three-dimensional symmetric tensor. This irreducible function basis is a proper subset of the Olive-Auffray minimal isotropic integrity basis of that tensor. The octic invariant and a sextic invariant in the Olive-Auffray integrity basis are dropped out. This result is of significance to the further research of irreducible function bases of higher order tensors.{
©2018 American Institute of Physics}

MSC:

74A20 Theory of constitutive functions in solid mechanics

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SeDuMi; GloptiPoly
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References:

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