Past Event: Oden Institute Seminar

Multiscale Modeling in Continuum Mechanics: a connection to the Irving-Kirkwood procedure

Panos Papadopoulos , Professor, Department of Mechanical Engineering, University of California, Berkeley

Abstract

This talk describes a method for extending the classical Irving-Kirkwood procedure used in statistical mechanics for extracting local fluxes to the problem of continuum-on-continuum thermomechanical multiscale modeling. Expressions for stress and heat flux derived here are contrasted to those obtained using the standard Hill-Mandel approach. The polar nature of the macroscopic solid and the role of multiscale invariance are also addressed in the context of this method. Applications are explored within the finite element-based homogenization of solids. Bio: Panos Papadopoulos is Professor of Mechanical Engineering at the University of California, Berkeley. He received his Diploma from the Aristotle University of Thessaloniki, Greece and his MS and PhD from the University of California, Berkeley.