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On the differentiation of tensor functions

Published:1978-03 Issue:2 Volume:83 Page:289-297
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Durban David

Abstract

AbstractA new method for generating tensorial derivatives of tensor functions is proposed. The method is based on the use of tensors as absolute entities along with the advantages offered by their decomposition on an orthonormal base.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. (4) Hill R. On the classical constitutive relations for elastic/plastic solids. In Recent progress on applied mechanics (The Folke Odquist Volume).

2. A theorem of tensor calculus and its application to isotropic elasticity

3. On isotropic tensors and elastic moduli

4. On stress rates in solid mechanics with application to elasticity theory

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3. The influence of constraints on the properties of acceleration waves in isotropic thermoelastic media;Archive for Rational Mechanics and Analysis;1987-03

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