Seminar Schedule – Fall 2015

Thursday, October 29, 2015
Time: 3:30-5:00
Place: WRW 102

Energy formulations of continuum magneto-electro-elastics with applications

Liping Liu – Rutgers University

We present an energy formulation of continuum electro-elastic and magneto-electro-elastic materials. Based on the principle of minimum free energy, we propose a form of total free energy of the system in three dimensions, and then systematically derive the theories for a hierarchy of materials including dielectric elastomers, piezoelectric ceramics, ferroelectrics, flexoelectric materials, magnetic elastomers, magneto-electric materials, piezo-electric-magnetic materials among others. The effects of mechanical, electrical and magnetic boundary devices, external charges, polarizations and magnetization are taken into account in formulating the free energy. The linear and nonlinear boundary value problems governing these materials are explicitly derived as the Euler-Lagrange equations of the principle of minimum free energy. Finally, we illustrate the applications of the formulations by presenting solutions to a few simple problems and give an outlook of potential applications.

For further information, please contact Dr. Nanshu Lu at nanshulu@utexas.edu or (512) 471-4208.