"Material symmetry and periodic homogenization in linear elasticity"

Dear All,

Mathematical Soft Matter Unit (Fried Unit) would like to invite you to a Seminar by Professor Brian Seguin from Loyola University Chicago.

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Date: Thursday, December 17th, 2015
Time: 14:00-15:00
Venue: C016, LevelC, Lab 1
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Speaker:
Professor Brian Seguin
Assistant Professor
Loyola University Chicago

Title: 
Material symmetry and periodic homogenization in linear elasticity

Abstract:
"I will present a result on the connection between material symmetry and the symmetries of the periodic microstructure of an elastic material using by homogenization theory.  The talk will begin with a short description of how I cam across this topic and why knowing the material symmetry group of a material with periodic microstructure is useful from a numerical point of view.  Then, after describing the basic ideas in homogenization theory and material symmetry, I will describe the main result.  Of crucial importance is the idea of a periodic elastic structure and the symmetries associated with this structure.  The main result will be illustrated though several examples, one of which shows that a material can be anisotropic on the microscale and yet the symmetry group on the macroscale can contain elements other than plus or minus the identity. Finally, I’ll say a few words about materials with a locally-periodic microstructure and when they are materially uniform."