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arXiv · 1308.3994

From nonlinear to linearized elasticity via Gamma-convergence: the case of multiwell energies satisfying weak coercivity conditions

Virginia Agostiniani·Timothy Blass·Konstantinos Koumatos
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Abstract

Linearized elasticity models are derived, via Gamma-convergence, from suitably rescaled nonlinear energies when the corresponding energy densities have a multiwell structure and satisfy a weak coercivity condition, in the sense that the typical quadratic bound from below is replaced by a weaker p bound, 1<p <2, away from the wells. This study is motivated by, and our results are applied to, energies arising in the modeling of nematic elastomers.

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Virginia Agostiniani, Timothy Blass, Konstantinos Koumatos. 2014-03-11. From nonlinear to linearized elasticity via Gamma-convergence: the case of multiwell energies satisfying weak coercivity conditions. https://arxiv.org/abs/1308.3994

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