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Attainment results for nematic elastomers

TitleAttainment results for nematic elastomers
Publication TypePreprint
AuthorsAgostiniani, V, Dal Maso, G, DeSimone, A

We consider a class of non-quasiconvex frame indifferent energy densities which includes Ogden-type energy densities for nematic elastomers. For the corresponding geometrically linear problem we provide an explicit minimizer of the energy functional satisfying a nontrivial boundary condition. Other attainment results, both for the nonlinear and the linearized model, are obtained by using the theory of convex integration
introduced by Mueller and Sverak in the context of crystalline solids.

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