BOUNDARY IDENTIFIABILITY OF RESIDUAL-STRESS VIA THE DIRICHLET TO NEUMANN MAP

An interesting problem in nondestructive evaluation is the determinati on of the residual stress of an elastic body. Residual stress is the s tress in a body in the absence of any external forces. In the linear t heory of elasticity, the residual stress in a body is represented by a divergence-free, second-order symmetric tensor field with vanishing b oundary traction. If the elastic properties of the body are described by Lame functions lambda and mu and residual stress T, it is shown in this paper (for dimensions greater than or equal to 3) that T and mu a re determined at any point x(0) on the boundary of the body by the Dir ichlet to Neumann map.