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

doi:10.1063/1.5028307

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

Research output: Journal article publication › Journal article › Academic research › peer-review

6 Citations (Scopus)

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.

Original language	English
Article number	081703
Pages (from-to)	081703-1 - 081703-9
Number of pages	9
Journal	Journal of Mathematical Physics
Volume	59
Issue number	8
DOIs	https://doi.org/10.1063/1.5028307
Publication status	Published - 1 Aug 2018

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

More information

10.1063/1.5028307

http://hdl.handle.net/10397/87601

Cite this

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AU - Zheng, Quanshui

AU - Zou, Wennan

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

Abstract

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