Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-28T13:33:34.589Z Has data issue: false hasContentIssue false
  • English
  • Français

On stress rates in solid mechanics with application to elasticity theory

Published online by Cambridge University Press:  24 October 2008

R. W. Ogden
R. W. Ogden
Affiliation:
School of Mathematics, University of Bath, Claverton Down, Bath BA2 7AY
Get access Rights & Permissions [Opens in a new window]

Extract

The efficacy of making a careful choice of strain measure in problems of solid mechanics was recognized and fully exploited by Hill(1–4). He brought coherence to fundamental stress and strain analysis by the introduction of the idea of conjugate pairs of stress and strain measures, and provided a platform for the further development of constitutive relations for solid materials.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 2 , March 1974 , pp. 303 - 319
Copyright
Copyright © Cambridge Philosophical Society 1974

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.J. Mech. Phys. Solids 16 (1968), 229–242.Google Scholar
(2)Hill, R.J. Mech. Phys. Solids 16 (1968), 315–322.Google Scholar
(3)Hill, R.Proc. Roy. Soc. Ser. A314 (1970), 457–472.Google Scholar
(4)Hill, R.Proc. Roy. Soc. Ser. A326 (1972), 131–147.Google Scholar
(5)Chadwick, P. and Ogden, R. W.Arch. Rational Mech. Anal. 44 (1971), 41–53.Google Scholar
(6)Chadwick, P. and Ogden, R. W.Arch. Rational Mech. Anal. 44 (1971), 54–68.CrossRefGoogle Scholar
(7)Truesdell, C. and Noll, W.The Non-Linear Field Theories of Mechanics. Handbuch der Physik, Vol. III/3 (Springer; Berlin, Heidelberg, New York, 1965).Google Scholar
(8)Ogden, R. W. Forthcoming.Google Scholar
(9)Ogden, R. W.Proc. Roy. Soc. Ser. A326 (1972), 565–584.Google Scholar
(10)Ogden, R. W.Proc. Cambridge Philos. Soc. (in Press).Google Scholar