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[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.
  • Classification : 74B20, 47J30, 47J35, 58E30, 74B15
  • Format : Online Talk on Zoom
  • Author(s) :
    • Riccardo Voso (University of Vienna)