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K-State Today

December 3, 2013

Mathematics Colloquium lecture today

Submitted by Reta McDermott

Pablo Seleson, University of Texas at Austin, will present "Multiscale Material Modeling with Mesoscopic Models" as part of the Mathematics Colloquium lecture series at 2:30 p.m. Tuesday, Dec. 3, in 122 Cardwell Hall.

The abstract for the lecture is:

Multiscale modeling has been recognized in recent years as an important research field to achieve feasible and accurate predictions of complex systems. In this talk, I will discuss the use of mesoscopic models as a means to bridge disparate scales in materials. An example of a mesoscopic model is the peridynamics theory of solid mechanics, which is a nonlocal reformulation of classical continuum mechanics based on integral equations. Nonlocal models possess length scales, which can be controlled for multiscale modeling. I will introduce the peridynamics theory and show analytical and numerical connections of peridynamics to molecular dynamics and classical continuum mechanics. I will also present multiscale methods to concurrently couple peridynamics and classical elasticity, demonstrating the capabilities of mesoscopic models towards multiscale material modeling.

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