Journal article
A covariant constitutive description of anisotropic non-linear elasticity
Zeitschrift für angewandte Mathematik und Physik, Vol.51(2), pp.204-217
03/2000
DOI: 10.1007/s000330050195
Abstract
This article addresses the role of covariance in the constitutive description of anisotropic non-linear elastic solids embedded in smooth manifolds. The covariant nature of material symmetry groups and associated structural tensors is discussed and an equivalence is established between covariance of strain energy functions inclusive of structural tensors and the respective anisotropic response. Also, necessary conditions for covariance of anisotropic strain energy functions and alternative representations of the stress response are derived.
Details
- Title: Subtitle
- A covariant constitutive description of anisotropic non-linear elasticity
- Creators
- J Lu - Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, USA USP Papadopoulos - Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, USA US
- Resource Type
- Journal article
- Publication Details
- Zeitschrift für angewandte Mathematik und Physik, Vol.51(2), pp.204-217
- Publisher
- Birkhäuser Verlag; Basel
- DOI
- 10.1007/s000330050195
- ISSN
- 0044-2275
- eISSN
- 1420-9039
- Language
- English
- Date published
- 03/2000
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064209402771
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