Linearized von K\'arm\'an theory for incompressible magnetoelastic plates

Abstract

We study the asymptotic behaviour, in the sense of $\Gamma$-convergence, of a thin incompressible magnetoelastic plate, as its thickness goes to zero. We focus on the linearized von K\'arm\'an regime. The model features a mixed Eulerian-Lagrangian formulation, as magnetizations are defined on the deformed confguration.