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On the elasticity of monatomic crystals

Published online by Cambridge University Press:  24 October 2008

Gareth P. Parry
Gareth P. Parry
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

This is an exploration of the mechanical consequences of the symmetry inherent in a monatomic elastic crystal lattice. The investigation is based on a theorem by means of which the square of the right stretch tensor is uniquely decomposed. Generality is assured by the affine equivalence of all monatomic lattices. Response functions appropriate to perfect monatomic crystals are thereby constructed, and some simple deformation paths are considered.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 1 , July 1976 , pp. 189 - 211
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

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