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Derivatives of the Rotation and Stretch Tensors

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

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.

Key Words: Kinematics • finite deformations • tensor-valued functions

Mathematics and Mechanics of Solids, Vol. 9, No. 5, 543-553 (2004)
DOI: 10.1177/1081286504038674


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