Applications of crack point models in boundary-contact problems of acoustics (Q1803093)

The method of zero radius potentials is used in a problem of acoustics to model a small crack in a thin elastic plate. The scattering problem is considered for a plane acoustic wave and an elastic plate with a finite crack. It is assumed that the crack length is small in comparison with the wave length in acoustic medium. The present approach yields the asymptotics of the scattered field in the form of the multipole expansion; the algorithm uses the Green function for a homogeneous domain and the finite system of algebraic equations with respect to multipole coefficients.