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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

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