An irreducible function basis of isotropic invariants of a third order three-dimensional symmetric tensor

An irreducible function basis of isotropic invariants of a third order three-dimensional symmetric tensor

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...

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Veröffentlicht in:Journal of mathematical physics 2018-08, Vol.59 (8)
Hauptverfasser: Chen, Zhongming, Liu, Jinjie, Qi, Liqun, Zheng, Quanshui, Zou, Wennan
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Integrity
Invariants
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Tensors
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Liu, Jinjie
Qi, Liqun
Zheng, Quanshui
Zou, Wennan
description 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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subjects Integrity
Invariants
Physics
Tensors
title An irreducible function basis of isotropic invariants of a third order three-dimensional symmetric tensor
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