Modelling and Analysis of Magnetosensitive Elastomers

Magnetosensitive Elastomers (MSEs) are micron-sized ferrous particle embedded rubber materials whose mechanical properties can be controlled by the application of an external magnetic field. The magnetic properties and the elastic properties of these magnetosensitive elastomers are dependent on each other. This coupled magneto-mechanical behavior is a non-linear multi-physics phenomenon and has a wide number of applications in the engineering field. To be able to design devices based on these magnetosensitive elastomers, it is required to model their behavior when they are subjected to either magnetic field loading, mechanical loading, or both combined. In this work, first, the boundary integral approach is used to compute the induced magnetic field for a 2D geometry when an external magnetic field is applied, using which we could solve for the deformations and stresses generated. As the boundary integral approach was being computationally expensive, so a UEL User Subroutine was defined in Abaqus for the linear model first and then modified for the neo-Hookean material model