Finite Element Simulation of Permanent Magnetoelastic Thin Films

We are interested in the deformation of a thin magnetoelastic film. This has many possible applications, such as in microfluidic actuators and sensors. In previous articles a finite element method has been used for transient simulation of the deformation of a film, for the special case of soft magnetic material only. Here the approach is extended to the case of permanent magnetoelastic materials. The key enhancements required for simulation of magnetoelastic materials are a nonlinear hyperelastic Mooney-Rivlin material model, addition of an implicit system of equations for the scalar magnetic potential, and a more complex asymmetric Maxwell stress tensor. A simple test problem was constructed, and simulations for a soft magnetic film and a permanent magnetic film are compared.