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On non-local continuum mechanics

Published online by Cambridge University Press:  24 October 2008

A. E. Green  and
P. M. Naghdi
A. E. Green
Affiliation:
Mathematical Institute, Oxford and University of California, Berkeley
P. M. Naghdi
Affiliation:
Mathematical Institute, Oxford and University of California, Berkeley
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Abstract

It is shown in this paper that the conservation laws of non-local continuum mechanics are equivalent to, and can be derived from, the conservation of energy and the invariance conditions under superposed rigid body motions. Also, the theory of non-local thermoelasticity is reconsidered in the light of recent developments in thermodynamics, taking invariance conditions fully into account.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 2 , March 1978 , pp. 307 - 319
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

REFERENCES

(1)Green, A. E. and Rivlin, R. S.Z. Angew. Math. Phys. 15 (1964), 290–292.CrossRefGoogle Scholar
(2)Green, A. E. and Naghdi, P. M.Internal. J. Engng Sci. 2 (1965), 621–624.CrossRefGoogle Scholar
(3)Naghdi, P. M. The theory of shells and plates. In S. Flügge's Handbuch der Physik, vol. via/2 (ed. Truesdell, C.), pp. 425–640 (Springer-Verlag, 1972).Google Scholar
(4)Edelen, D. G. B., Green, A. E. and Laws, N.Arch. Rational Mech. Anal. 43 (1971), 36–44.CrossRefGoogle Scholar
(5)Green, A. E. and Naghdi, P. M.Arch. Rational Mech. Anal. 48 (1972), 352–378.CrossRefGoogle Scholar
(6)Eringen, A. C. and Edelen, D. G. B.Int. J. Engng Sci. 10 (1972), 233–248.CrossRefGoogle Scholar
(7)Eringen, A. C.Int. J. Engng Sci. 12 (1974), 1063–1077.CrossRefGoogle Scholar
(8)Green, A. E. and Naghdi, P. M.Proc. Roy. Soc. A. 357 (1977), 253–270.Google Scholar