Published Paper
Inserted: 22 oct 2013
Last Updated: 18 nov 2015
Journal: Proc. Roy. Soc. Edinburgh Sect. A
Volume: 145
Pages: 669-701
Year: 2015
Doi: 10.1017/S0308210515000128
Abstract:
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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