Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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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: 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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DOI: https://doi.org/10.1090/qam/1402412
Article copyright: © Copyright 1996 American Mathematical Society


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