Linearized von Kármán theory for incompressible magnetoelastic plates

Abstract

We study the asymptotic behavior, in the sense of [Formula: see text]-convergence, of a thin incompressible magnetoelastic plate, as its thickness goes to zero. We focus on the linearized von Kármán regime. The model features a mixed Eulerian–Lagrangian formulation, as magnetizations are defined on the deformed configuration.