Derivative of a function of a nonsymmetric second-order tensor

Authors:
B. Balendran and Sia Nemat-Nasser

Journal:
Quart. Appl. Math. **54** (1996), 583-600

MSC:
Primary 73B05

DOI:
https://doi.org/10.1090/qam/1402412

MathSciNet review:
MR1402412

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

DOI:
https://doi.org/10.1090/qam/1402412

Article copyright:
© Copyright 1996
American Mathematical Society