Existence and regularity in nonlocal continuum mechanics
Darren E. Mason
University of Minnesota
This research is aimed at understanding the phase behavior of materials with particular emphasis placed on the nucleation, stability and behavior of phase boundaries. The existence of microscopic domains in ferromagnetic and ferroelastic materials, shear bands in ductile solids, finely twinned microstructural laminates in shape memory alloys and recently discovered high transition temperature super conductors all underscore the importance of internal, small scale structures in material behavior. Classical formulations lack the ability to predict the detailed organization of phase structures at the micro-scale. The focus of this research is to introduce a new material energy representation that accounts for long range particle interactions.
Last Modified: 2007-09-21 at 12:09:06 -- this is in International Standard Date and Time Notation