Identification of multiple cracks in an anisotropic elastic plate by boundary data

Abstract

A linear elastic, anisotropic plate, which can contain multiple, rectilinear cracks is considered. It is assumed that the loads applied to the boundary of the plate and the displacements of the boundary are measured in a single static experiment. A method for the cracks identification using the known overdetermined boundary data is developed. The developed method is based on the reciprocity gap concept, generalized functions theory and methods of cluster analysis. Numerical examples are considered.