[00755] A variational approach for nonlinear elasticity
Session Time & Room : 3E (Aug.23, 17:40-19:20) @E820
Type : Contributed Talk
Abstract : This research concerns the Weighted Energy-Dissipation approach for nonlinear elasticity. We introduce a family of $\epsilon-$dependent functionals defined over entire trajectories and we prove that they admit minimisers which are solutions of the corresponding Euler-Lagrange problem. Considering the limit $\epsilon \rightarrow 0$ we prove that those minimisers converge to the solutions of a specific nonlinear elasticity equation. Eventually, linearized elastic energies are proven to be the $\Gamma$-limits of the rescaled nonlinear energies.
