Abstract

Let W(F) = φ(λ1s + λ2s + λ3s) + ψ(λ1rλ2r + λ1rλ3r + λ2rλ3r) + f(λ1λ2λ3) be a stored energy function. We prove that, for this function, rank-one convexity is equivalent to polyconvexity.under suitable assumptions on φ, ψ and f.

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