Representation theorem for linear, isotropic tensor functions in even dimensions

Kathleen A. Pericak-Spector; Jeyabal Sivaloganathan; Scott J. Spector

doi:10.1023/A:1007600811936

Representation theorem for linear, isotropic tensor functions in even dimensions

Kathleen A. Pericak-Spector, Jeyabal Sivaloganathan, Scott J. Spector

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

4 Citations (SciVal)

Abstract

In a previous study, Jaric provided the only proof of the representation theorem. The given proof is valid in even dimensions and merely requires the invariance of the elasticity tensor under proper orthogonal mappings. The present work provides an alternate proof, which only assumes invariance under proper orthogonal sensors.

Original language	English
Pages (from-to)	157-164
Number of pages	8
Journal	Journal of Elasticity
Volume	57
Issue number	2
DOIs	https://doi.org/10.1023/A:1007600811936
Publication status	Published - 1999

ASJC Scopus subject areas

Materials Science(all)
Mechanics of Materials
Mechanical Engineering

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title = "Representation theorem for linear, isotropic tensor functions in even dimensions",

abstract = "In a previous study, Jaric provided the only proof of the representation theorem. The given proof is valid in even dimensions and merely requires the invariance of the elasticity tensor under proper orthogonal mappings. The present work provides an alternate proof, which only assumes invariance under proper orthogonal sensors.",

author = "Pericak-Spector, {Kathleen A.} and Jeyabal Sivaloganathan and Spector, {Scott J.}",

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AU - Sivaloganathan, Jeyabal

AU - Spector, Scott J.

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DO - 10.1023/A:1007600811936

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JO - Journal of Elasticity

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Representation theorem for linear, isotropic tensor functions in even dimensions

Abstract

ASJC Scopus subject areas

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