Identification of nodal points of an elastic inclusion in elastic plane

A geometric inverse problem of identifying an isotropic, linearly elastic inclusion in an isotropic, linearly elastic plane is considered. It is assumed that constant stresses are given at infinity, and the displacements and applied loads are known on a closed curve enclosing the inclusion. In the case when the inclusion is a quadrature domain, a method for identifying its nodal points has been developed. A numerical example is considered.