Quasistatic evolution of magnetoelastic plates via dimension reduction
Martin Kružík, Ulisse Stefanelli, Chiara Zanini · Discrete and Continuous Dynamical Systems · 2015
A rate-independent model for the quasistatic evolution ofa magnetoelastic plate is advanced andanalyzed. Starting from the three-dimensional setting, we presentan evolutionary $\Gamma$-convergence argument in order to pass tothe limit in one of the material dimensions. By takinginto account bothconservative and dissipative actions, a nonlinear evolution system of rate-independenttype is obtained. The existence of so-called energetic solutions to such system is proved viaapproximation.