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On the differentiation of tensor functions

Published online by Cambridge University Press:  24 October 2008

David Durban
Affiliation:
Technion, Haifa, Israel and DAMTP, University of Cambridge

Abstract

A 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.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

REFERENCES

(1)Bowen, R. W. and Wang, C. C.Acceleration waves in inhomogeneous isotropic elastic bodies. Arch. Rational. Mech. Anal. 38 (1970), 1345; 40 (1971), 403.CrossRefGoogle Scholar
(2)Chadwick, P. and Ogden, R. W.A theorem of tensor calculus and its application to isotropic elasticity. Arch. Rational Mech. Anal. 44 (1971), 5468.CrossRefGoogle Scholar
(3)Gibbs, J. W.The Collected Works, vol. II, part II, chs. III–X. (Yale University Press, 1948.)Google Scholar
(4)Hill, R. On the classical constitutive relations for elastic/plastic solids. In Recent progress on applied mechanics (The Folke Odquist Volume).Google Scholar
(5)Ogden, R. W.On stress rates in solid mechanics with application to elasticity theory. Proc. Cambridge Philos. Soc. 75 (1974), 303319.CrossRefGoogle Scholar
(6)Ogden, R. W.On isotropic tensors and elastic moduli. Proc. Cambridge Philos. Soc. 75 (1974), 427436.CrossRefGoogle Scholar