Quasiconvex envelopes of energies for nematic elastomers in the small strain regime and applications |
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Authors: | Pierluigi Cesana Antonio DeSimone |
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Affiliation: | a SISSA, International School for Advanced Studies, Trieste, Italy b BCAM, Basque Center for Applied Mathematics, Derio, Spain |
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Abstract: | We provide some explicit formulas for the quasiconvex envelope of energy densities for nematic elastomers in the small strain regime and plane strain conditions. We then demonstrate their use as a powerful tool for the interpretation of mechanical experiments. Analytical formulas characterizing the stress-strain response in pure shear are derived, providing an easily testable benchmark for future numerical and experimental investigations on the mechanics of nematic elastomers. |
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Keywords: | Nematic elastomers Hyperelasticity Relaxation Quasiconvexity |
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