Title: Shape control in linear elasticity

Speaker: Michael Renardy, Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123.

Abstract

A linear elastic medium with stress-free boundaries is subjected to the action of embedded actuators which generate a stress of a certain type. The question we pose is: Can this internal stress be adjusted in such a way that the boundary deforms to a given shape? The lecture will discuss the linearized version of this problem for the two-dimensional case. We shall consider two types of imposed stress: an isotropic pressure and a stress in a prescribed direction. The results for the two cases are quite different.