Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
41/2001

Macroscopic response of nematic elastomers via relaxation of a class of SO(3)-invariant energies

Antonio DeSimone and Georg Dolzmann

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.

Received:
Jul 12, 2001
Published:
Jul 12, 2001

Related publications

inJournal
2002 Repository Open Access
Antonio DeSimone and Georg Dolzmann

Macroscopic response of nematic elastomers via relaxation of a class of SO(3)-invariant energies

In: Archive for rational mechanics and analysis, 161 (2002) 3, pp. 181-204