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An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers

Conti, Sergio ; Dolzmann, Georg



Abstract

The relaxation of nonconvex variational problems involving free energy densities W which depend on the deformation gradient is frequently characterized by a hierarchy of structures at different and well-separated length scales. A wide range of these structures can be characterized as the superposition of one-dimensional oscillations on different length scales which are referred to as laminates of ...

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