Multiple natural states for an elastic isotropic material polyconvex stored energy
by
R.L. Fosdick and G. Royer
in
J. Elasticity, 60, 223-231, 2000.
Category: Journal Article
Keywords: nonlinear elasticity, isotropic material, polyconvexity.
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Abstract:
We show a necessary and sufficient condition for the undistorted reference configuration y(x) = x, with ∇y = F = 1, to be a minimizer of the total stored energy for an isotropic elastic body. Polyconvexity of the stored energy function is not sufficient, and we give an example which possesses two distinct natural (i.e., unstressed) states to illustrate this point.
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