Linearized von Kármán 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 Kármán regime. The model features a mixed Eulerian-Lagrangian formulation, as magnetizations are defined on the deformed confguration.

37 pages, 2 figures

References in corpus (2)

• Global invertibility for orientation-preserving Sobolev maps via invertibility on or near the boundary
• Magnetoelastic thin films at large strains

Cited by in corpus (1)

• A reduced model for plates arising as low energy $\Gamma$-limit in nonlinear magnetoelasticity