Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-26T07:43:40.077Z Has data issue: false hasContentIssue false
  • English
  • Français

On the crystallographic point groups and on Cauchy symmetry

Published online by Cambridge University Press:  24 October 2008

Gareth P. Parry
Gareth P. Parry
Affiliation:
University of Bath
Get access Rights & Permissions [Opens in a new window]

Abstract

Elastic work functions may be restricted by material symmetry requirements and/ or by the Cauchy symmetry of the first order moduli with respect to the Green strain. This investigation enables the construction of any work function so constrained. The crystallographic point groups are considered in detail, and examples of such work functions are given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 1 , July 1977 , pp. 165 - 175
Copyright
Copyright © Cambridge Philosophical Society 1977

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Hill, R.On the elasticity and stability of perfect crystals at finite strain. Proc. Cambridge Philos. Soc. 77 (1975), 225.CrossRefGoogle Scholar
(2)Parry, G. P.On the elasticity of monatomic crystals. Math. Proc. Cambridge Phlsom. Soc. 80 (1976), 189.CrossRefGoogle Scholar
(3)Smith, G. F. and Rivlin, R. S.The strain energy function for anisotropic elastic materials. Trans. Amer. Math. Soc. 88 (1958), 175.CrossRefGoogle Scholar
(4)Pipkin, A. C. and Wineman, A. S.Material symmetry restrictions for constitutive relations. Arch. Rational Mech. Anal. 17 (1964), 184.Google Scholar
(5)Truesdell, C. A.A theorem on the isotropy groups of a hyperelastic material. Proc. Nat. A. Sci. U.S.A. 52 (1964), 1081.CrossRefGoogle ScholarPubMed
(6)Truesdell, C. A. and Noll, W. The non-linear field theories of mechanics. Handbuch der Physik, III/3. (Berlin, 1965.)Google Scholar