A COVARIANT CONSTITUTIVE DESCRIPTION OF ANISOTROPIC NON-LINEAR ELASTICITY
J. Lu and P. Papadopoulos Z. Angew. Math. Phys., 51, pp. 204-217, (2000)

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.


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