Identification of geometric shapes and material properties of inclusions in two-dimensional finite bodies by boundary parameterization Original Research Article

A system identification scheme based on the boundary element method (BEM) is proposed to determine geometric shape and elastic material properties of an inclusion in a finite body. The proposed algorithm is based on the minimization of least squared errors between measured displacement and calculated displacement by a boundary element model. A regularization function that consists of the geometric term and material property term is added to the error function to overcome ill-posedness of inverse problems. To deal with the shape variation of an inclusion during the optimization process, the boundary parameterization technique is applied to the BEM. The recursive quadratic programming (RQP) technique with line search is used for optimization.