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arXiv · 1803.01269

An Irreducible Function Basis of Isotropic Invariants of A Third Order Three-Dimensional Symmetric Tensor

Zhongming Chen·Jinjie Liu·Liqun Qi·Quanshui Zheng·Wennan Zou
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Abstract

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.

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Zhongming Chen, Jinjie Liu, Liqun Qi, Quanshui Zheng, Wennan Zou. 2018-06-22. An Irreducible Function Basis of Isotropic Invariants of A Third Order Three-Dimensional Symmetric Tensor. https://doi.org/10.1063/1.5028307

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