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On the stability of crystal lattices. IV

Published online by Cambridge University Press:  24 October 2008

Max Born  and
Rama Dhar Misra
Max Born
Affiliation:
The UniversityEdinburgh
Rama Dhar Misra
Affiliation:
The UniversityEdinburgh
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Extract

In order to explain the phenomena of melting, tensile strength, etc., we have to investigate the stability of crystals for finite deformations, for which deviations from Hooke's law occur. Although these deviations are in most cases of an irreversible character, it is necessary, for a systematic study, to develop mathematical methods for treating the mechanical (reversible) case of a highly strained crystal lattice, where terms of higher order than the second in the deformation energy must be taken into account.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 36 , Issue 4 , October 1940 , pp. 466 - 478
Copyright
Copyright © Cambridge Philosophical Society 1940

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References

REFERENCES

(1)Born, M.Proc. Cambridge Phil. Soc. 36 (1940), 160.Google Scholar
(2)Born, M.Atomtheorie des festen Zustandes, 2nd ed. (Leipzig and Berlin, 1923), p. 765.Google Scholar
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(4)Ewald, P. P.Nach. Ges. Wiss. Göttingen, N.F. ii, 3 (1938), 55.Google Scholar
(5)Kellermann, E. W.Philos. Trans. A, 238 (1940), 517.Google Scholar
(6)Misra, R. D.Proc. Cambridge Phil. Soc. 36 (1940), 173.Google Scholar