Title: Multiscale Computational Solid Mechanics



			    Jacob Fish
	    Civil, Mechanical and Aerospace Engineering
		  Rensselaer Polytechnic Institute
			Troy, NY 12180, USA
		        email: fishj@rpi.edu   
		     http://www.rpi.edu/~fishj


Abstract:
The talk will describe various information passing and concurrent
multiscale computational techniques in solid mechanics. In the
concurrent approaches both the fine and coarse scales are simultaneously
resolved, whereas in the information passing multiscale methods, fine
scales are modeled and their gross response is infused into the coarse
scale. Among various information passing approaches a unified
continuum-to-continuum and continuum-to-discrete (atomistic) scale
bridging methodology based on the generalization of the space-time
mathematical homogenization will be presented. Application of the
space-time homogenization theory to problems of viscoplasticity and
fatigue will be described.