Abstract
Residual stress in an elastic body is a divergence free, second order symmetric tensor whose traction vanishes at the boundary. We consider the problem of determining the residual stress and the Lame parameters of an elasitic body by measuring the displacements and the tractions at the boundary. Mathematically, these measurements made at the boundary are encoded in the so-called Dirichlet to Neumann map. We prove that it is possible to recover all the components of the residual stress together with the Lame parameters at the boundary from the Dirichlet to Neumann map by making use of an explicit form of the surface impedance tensor.
