Derivative of a function of a nonsymmetric second-order tensor-Reference-Cited by-同舟云学术

Derivative of a function of a nonsymmetric second-order tensor

Published:1996 Issue:3 Volume:54 Page:583-600
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Balendran B.,Nemat-Nasser Sia

Abstract

Exact explicit expressions are obtained for an isotropic tensor-valued function of a nonsymmetric second-order tensor, and its derivative, without resort to eigenvector calculations. These are then used to derive explicit expressions for the material time derivative of the general strain measures in terms of the deformation rate tensor.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1996-54-03/S0033-569X-1996-1402412-8/S0033-569X-1996-1402412-8.pdf

Reference14 articles.

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5. R. Hill, On constitutive inequalities for simple materials. I, J. Mech. Phys. Solids 16, 229 (1968)

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