Modeling and numerical analysis of magnetoelastic materials

Magnetoelastic materials are smart materials characterised by a strong interplay between their mechanical and magnetic properties. Due to their capability to change shape in response to applied magnetic fields, they currently find use in many technological applications requiring a magnetomechanical transducer, e.g., actuators and sensors. In this talk, we discuss a nonlinear system of PDEs modeling the dynamics of magnetisation and displacement in magnetoelastic materials in the small strain regime. For this PDE system, we present a fully discrete structure-preserving numerical scheme and discuss its analysis (well-posedness, discrete energy law, stability, and unconditional convergence towards a weak solution of the problem). We conclude the talk with a few remarks on the extension of the model to the finite strain regime and the associated numerical challenges.

This is joint work with Hywel Normington (University of Strathclyde).

Contatto: luca.formaggia@polimi.it