Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The linear theory of second-grade elastic materials

Author: R. W. Lardner
Journal: Quart. Appl. Math. 27 (1969), 323-334
DOI: https://doi.org/10.1090/qam/99821
MathSciNet review: QAM99821
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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.

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DOI: https://doi.org/10.1090/qam/99821
Article copyright: © Copyright 1969 American Mathematical Society

American Mathematical Society