Frame-Invariant Polyconvex Strain-Energy Functions for Some Anisotropic Solids-Reference-Cited by-同舟云学术

Frame-Invariant Polyconvex Strain-Energy Functions for Some Anisotropic Solids

Published:2003-10 Issue:5 Volume:8 Page:497-506
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Steigmann David J.¹

Affiliation:

1. Department of Mechanical Engineering, University of California, Berkeley, CA 94720

Abstract

We present a set of simple sufficient conditions for the polyconvexity and coercivity of strainenergy functions for transversely isotropic and orthotropic elastic solids. The formulation is based on appropriate function bases for the right stretch tensor in the polar decomposition of the deformation gradient and furnishes numerical analysts with a priori existence criteria for boundary-value problems.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/10812865030085004

Reference12 articles.

1. Plane strain problems for a perfectly elastic material of harmonic type

2. Finite strain solutions in compressible isotropic elasticity

3. Determination of C 1/2, C -1/2 and more general isotropic tensor functions of C

4. Invariants of the Stretch Tensors and their Application to Finite Elasticity Theory

5. [9] Steigmann, D.J.: On isotropic, frame-invariant, polyconvex strain-energy functions . Quarterly Journal of Mechanics and Applied Mathematics, in press.

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