Relaxation of some transversally isotropic energies and applications to smectic A elastomers
J. Adams, S. Conti, A. DeSimone, and G. DolzmannWe determine the relaxation of some transversally-isotropic energy densities, i.e., functions with the property for all and all such that , where 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.
Download preprint: pdf (251 Kb)
Published in: Math. Mod. Meth. Appl. Sci. 18, pp. 1-20, 2008.