The linear theory of second-grade elastic materials-Reference-Cited by-同舟云学术

The linear theory of second-grade elastic materials

Published:1969 Issue:3 Volume:27 Page:323-334
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Lardner R. W.

Abstract

Second-grade elastic materials have an energy density which depends on both first and second deformation gradients. The behaviour of these materials is investigated for deformations sufficiently small that the equations of motion can be linearized. The elastic materials with couple stress studied by Mindlin and Tiersten [1] are a special case of the materials studied here, and our results reduce to theirs with an appropriate choice for our elastic constants.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1969-27-03/S0033-569X-1969-99821-X/S0033-569X-1969-99821-X.pdf

Reference5 articles.

1. Effects of couple-stresses in linear elasticity;Mindlin, R. D.;Arch. Rational Mech. Anal.,1962

2. Elastic materials with couple-stresses;Toupin, R. A.;Arch. Rational Mech. Anal.,1962

3. On the dynamic boundary conditions in the theory of thin shells;Koiter, W. T.;Nederl. Akad. Wetensch. Proc. Ser. B,1964

4. The influence of couple-stresses on singular stress concentrations in elastic solids;Muki, Rokur\B{o};Z. Angew. Math. Phys.,1965

5. Theories of elasticity with couple-stress;Toupin, R. A.;Arch. Rational Mech. Anal.,1964

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