Derivatives of the Rotation and Stretch Tensors-Reference-Cited by-同舟云学术

Derivatives of the Rotation and Stretch Tensors

Published:2004-10 Issue:5 Volume:9 Page:543-553
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Carroll M. M.¹

Affiliation:

1. Department of Mechanical Engineering and Materials Science MS-321, Rice University, P O. Box 1892, Houston, TX 77459-1892, USA

Abstract

Previous work on representing the rotation and stretch tensors, their time derivatives and their gradients with respect to the deformation gradient tensor is reviewed and some new results are presented. The correspondence between rates and gradients leads to a unification and clarification of previous results and to new representations of the gradients.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/1081286504038674

Reference14 articles.

1. Determination of C 1/2, C -1/2 and more general isotropic tensor functions of C

2. Rates of stretch tensors

3. On the derivative of the square root of a tensor and Guo's rate theorems

4. Derivatives of the stretch and rotation tensors

5. Determination of the stretch and rotation in the polar decomposition of the deformation gradient

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