DETERMINATION OF VARIOUS TYPES OF CRACKS IN A 2-D SCALAR WAVE FIELD USING TOPOLOGICAL DERIVATIVE

Abstract

A determination of cracks using topology optimization in 2-D time domain acoustics is considered. We introduce the cost function which is the misfit function between the obserbed data and the numerical data on the boundary of the domain having the cracks. We determin the cracks as the minimizer of the cost function using the topological derivative. The determination of the branched crack and the determination of the cracks having the less forecast information are shown in this paper.