From nonlinear to linearized elasticity via $\Gamma$-convergence: the case of multi-well energies satisfying weak coercivity conditions

From nonlinear to linearized elasticity via $\Gamma$-convergence: the case of multi-well energies satisfying weak coercivity conditions

Thu, 25/04
12:00 		Konstantinos Koumatos (OxPDE, University of Oxford) OxPDE Lunchtime Seminar Add to calendar Gibson 1st Floor SR
From nonlinear to linearized elasticity via $ \Gamma $-convergence: the case of multi-well energies satisfying weak coercivity conditions
We derive geometrically linear elasticity theories as $ \Gamma $-limits of rescaled nonlinear multi-well energies satisfying a weak coercivity condition, in the sense that the standard quadratic growth from below of the energy density $ W $ is replaced by the weaker p-growth far from the energy wells, where $1