Mathematics Colloquium

SPEAKER: Dr. Pablo Seleson, University of Texas, at Austin

TITLE: Multiscale Material Modeling with Peridynamics

ABSTRACT: Multiscale modeling has been recognized in recent years as an important research field to achieve feasible and accurate predictions of complex systems. Peridynamics, a nonlocal reformulation of continuum mechanics based on integral equations, is able to resolve microscale phenomena at the continuum level. As a nonlocal model, peridynamics possesses a length scale which can be controlled for multiscale modeling. For instance, classical elasticity has been presented as a limiting case of a peridynamic model. In this talk, I will introduce the peridynamics theory and show analytical and numerical connections of peridynamics to molecular dynamics and classical elasticity. I will also present multiscale methods to concurrently couple peridynamics and classical elasticity, demonstrating the capabilities of peridynamics towards multiscale material modeling.

Refreshments will be available at 3:15 p.m.