Waves in viscoelastic media

Friday, June 30, 2017 - 11:20am - 12:10pm
Keller 3-180
Francisco-Javier Sayas (University of Delaware)
I will explain ongoing work with my team (Tom Brown, Shukai Du, and Hasan Eruslu) on Finite Element simulation of elastic wave propagation in media that are modeled using a strain-to-stress relation that keeps track of the past evolution of the solid. The family of models I will discuss includes the classical (Zener) differential viscoelastic model, a fractional derivative version thereof, and combinations of the above with pure elastic behavior. The analysis will be presented using transfer function techniques, but I will explain how in some cases refined results can be found using techniques of semigroup theory.