We obtain an explicit formula for the relaxation of the free-energy density for nematic elastomers proposed by BLADON, TERENTJEV & WARNER (Phys. Rev. E 47 (1993), 3838-3840). The proof is based on a characterization of the level sets of the relaxed energy. In particular, the construction uses only laminates within laminates and it identifies those deformations that correspond to simple laminates.
Macroscopic response of nematic elastomers via relaxation of a class of SO(3)-invariant energies
De Simone, Antonio;
2002-01-01
Abstract
We obtain an explicit formula for the relaxation of the free-energy density for nematic elastomers proposed by BLADON, TERENTJEV & WARNER (Phys. Rev. E 47 (1993), 3838-3840). The proof is based on a characterization of the level sets of the relaxed energy. In particular, the construction uses only laminates within laminates and it identifies those deformations that correspond to simple laminates.File in questo prodotto:
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