W. G. Pritchard Lab Seminar: 3:30-4:30 PM, 116 McAllister Building

	                 **Monday May 5, 2003**
	
Microscopic misfits in composites and polycrystals

Oscar P. Bruno

Department of Applied and Computational Mathematics
Caltech

Abstract:

We present an approach to the solution of homogenization problems in two-
and three-dimensional composites and polycrystals supporting microscopic
misfit strains.  This approach is applicable to composites whose grains or
intergrain boundaries undergo arbitrary misfits (e.g. misfit strains,
magnetic or electrical polarizations) such as those associated with thermal
expansion, martensitic transformations, magneto-rheological effects in
solids, etc.  In particular, we present rigorous upper and lower bounds for
the overall energy values, volume-fraction expansions, and fast numerical
methods for the evaluation of effective properties.