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

Jia Lu; Panayiotis Papadopoulos

doi:10.1177/108128659700200102

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

Journal article

Peer reviewed

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

Jia Lu and Panayiotis Papadopoulos

Mathematics and mechanics of solids, Vol.2(1), pp.17-26

03/1997

DOI: 10.1177/108128659700200102

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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.

Details

Title: Subtitle: On the Direct Determination of the Rotation Tensor from the Deformation Gradient
Creators: Jia Lu
Panayiotis Papadopoulos - Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA, 94720-1740
Resource Type: Journal article
Publication Details: Mathematics and mechanics of solids, Vol.2(1), pp.17-26
DOI: 10.1177/108128659700200102
ISSN: 1081-2865
eISSN: 1741-3028
Language: English
Date published: 03/1997
Academic Unit: Mechanical Engineering
Record Identifier: 9984064109502771

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