Identification of Geometric Shapes and Material Properties of Inclusions
in Two Dimensional Finite Bodies by Boundary Parameterization
H.S. Lee, C.J. Park, H.W. Park
A system identification scheme based on the boundary element method is proposed to deter-mine 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 ap-plied to the boundary element method. The recursive quadratic programming technique with line search is used for optimization.
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