Adams, James and Conti, Sergio and Desimone, Antonio and Dolzmann, Georg (2008) Relaxation of some transversally isotropic energies and applications to smectic A elastomers. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 18 (1). pp. 1-20. ISSN 0218-2025, 1793-6314
Full text not available from this repository. (Request a copy)Abstract
We determine the relaxation of some transversally-isotropic energy densities, i.e. functions W : R-3x3 -> [0,infinity] with the property W(QFR) = W(F) for all Q is an element of SO(3) and all R is an element of SO(3) such that Rn-0 = n(0), where n(0) is a fixed unit vector. One physically relevant example is a model for smectic A elastomers. We discuss the implications of our result for the computation of macroscopic stress-strain curves for this material and compare with experiment.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SINGLE-CRYSTAL ELASTOMERS; VARIATIONAL-PROBLEMS; NEMATIC ELASTOMERS; OPTIMAL-DESIGN; MICROSTRUCTURE; liquid crystal elastomers; deformable solids; relaxation; quasiconvexity |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Nov 2020 05:51 |
| Last Modified: | 23 Nov 2020 05:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/31717 |
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