Journal
MATHEMATICS AND MECHANICS OF SOLIDS
Volume 8, Issue 5, Pages 497-506Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/10812865030085004
Keywords
finite elasticity; anisotropy; convexity
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We present a set of simple sufficient conditions for the polyconvexity and coercivity of strain-energy 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.
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