Alternative approach to obtain the derivative of the right stretch tensor with respect to the deformation gradient

Author:

Vasconcellos Daniel Boy1,Greco Marcelo1

Affiliation:

1. Federal University of Minas Gerais

Abstract

Abstract A novel expression of the derivative of the right stretch tensor with respect to the deformation gradient is obtained by an alternative approach, which does not use the spectral/single-value decomposition of tensors involved.

Publisher

Research Square Platform LLC

Reference9 articles.

1. Derivatives of the stretch and rotation tensors;Chen Y-C;Journal of Elasticity, v.,1993

2. Derivatives and rates of the stretch and rotation tensors;Rosati L;Journal of Elasticity, v.,1999

3. On the derivative of some tensor-valued functions;Padovani C;Journal of Elasticity, v.,2000

4. The derivative with respect to a tensor: some theoretical aspects and application;Itskov M;ZAMM,2002

5. Derivatives of the rotation and stretch tensors;Carrol MM;Math. and Mech. of Solids, v.,2004

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