The number of independent invariants of an n-preferred direction anisotropic solid

M. H.B.M. Shariff

doi:10.1177/1081286516653196

The number of independent invariants of an n-preferred direction anisotropic solid

M. H.B.M. Shariff

Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

Sets of classical invariants are used to characterize the mechanical behaviour of elastic solids with preferred directions. In this paper, we prove, for an n-preferred direction anisotropy, that only 2 n + 3 classical invariants are independent. For n ≥ 2, we show that only six strain and 2 n ' 3 non-strain invariants are independent.

Original language	British English
Pages (from-to)	1989-1996
Number of pages	8
Journal	Mathematics and Mechanics of Solids
Volume	22
Issue number	10
DOIs	https://doi.org/10.1177/1081286516653196
State	Published - 1 Oct 2017

Keywords

Anisotropy
elasticity
n-preferred directions
nonlinear
number of independent invariants

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AB - Sets of classical invariants are used to characterize the mechanical behaviour of elastic solids with preferred directions. In this paper, we prove, for an n-preferred direction anisotropy, that only 2 n + 3 classical invariants are independent. For n ≥ 2, we show that only six strain and 2 n ' 3 non-strain invariants are independent.

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KW - nonlinear

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The number of independent invariants of an n-preferred direction anisotropic solid

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Keywords

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