On the Direct Determination of the Rotation Tensor from the Deformation Gradient-Reference-Cited by-同舟云学术

On the Direct Determination of the Rotation Tensor from the Deformation Gradient

Published:1997-03 Issue:1 Volume:2 Page:17-26
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Lu Jia,Papadopoulos Panayiotis¹

Affiliation:

1. Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA, 94720-1740

Abstract

An explicit representation of the rotation tensor is given in terms of the deformation gradient. The derivation does not require the a priori determination of the stretch tensor. Instead, it relies on systematic use of the Cayley-Hamilton theorem and basic properties of proper orthogonal tensors.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/108128659700200102

Reference11 articles.

1. The Classical Field Theories

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

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

4. Matrix Analysis

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