Attainment results for nematic elastomers

作者：Agostiniani Virginia^*; Dal Maso Gianni; DeSimone Antonio

来源：Proceedings of the Royal Society of Edinburgh: Section A Mathematics , 2015, 145(4): 669-701.

DOI：10.1017/S0308210515000128

• nematic elastomers
• convex integration
• solenoidal fields

We consider a class of non-quasi-convex frame indifferent energy densities that 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 non-trivial boundary condition. Other attainment results, both for the nonlinear and the linearised model, are obtained by using the theory of convex integration introduced by Muller and Sverak in the context of crystalline solids.

• 出版日期2015-8