COLLOQUIUM Modeling Temperature Dynamics of Inductively Heated Shape Memory Polymers Doped with Magnetic Nanoparticles MS Defense Peter Kay III Various methods have been considered for heating shape memory polymers (SMPs) when noncontact heating is required, including inductive heating. However, nonlinear thermal dynamics and hysteresis present significant challenges in modeling the dynamics. The purpose of this research is to develop a model for inductively heated polymers doped with magnetic nanoparticles. The proposed model is based on hysteresis power loss of magnetic nanoparticles, temperature dependency of spontaneous magnetization, and the thermodynamic system of doped SMPs. We discuss wellposedness of the time discretized model, identification of parameters for hysteresis operators and temperature versus magnetization, subsequence numerical results, and a comparison of numerical results with experimental data in existing literature. Department of Mathematics Thursday, April 18th, 2013 4:00 p.m. 204 Morgan Hall Refreshments will be served at 3:45 p.m.