  Shape memory materials have gained considerable attention thanks to their
ability to change physical properties when subjected to external stimuli such
as temperature, pH, humidity, electromagnetic fields, etc. These materials are
increasingly used for a large number of biomedical applications. For
applications inside the human body, contactless control can be achieved by the
addition of electric and/or magnetic particles that can react to
electromagnetic fields, thus leading to a composite biomaterial. The difficulty
of developing accurate numerical models for smart materials results from their
multiscale nature and from the multiphysics coupling of involved phenomena.
This coupling involves electromagnetic, thermal and mechanical problems. This
paper contributes to the multiphysics modelling of a shape memory polymer
material used as a medical stent. The stent is excited by electromagnetic
fields produced by a coil which can be wrapped around a failing organ. In this
paper we develop large deformation formulations for the coupled
electro-thermo-mechanical problem using the electric potential to solve the
electric problem. The formulations are then discretized and solved using the
finite element method. Results are validated by comparison with results in the
literature.
