Shear waves from an external acoustic wave generator acting on a crack in a rectangular strip

Abstract

An analytical solution for the wave equation in a rectangular elastic strip and in the presence of an external harmonic wave generator acting on a crack is derived. This source is spatially distributed in a generalized mathematical form near the vicinity of the tip of the crack and acts normal to its faces. Two limiting cases (1) a uniform distribution and (2) Dirac's delta function distribution are solved. Examples of the relation between the displacement at the epicenter and the crack length for different body force distributions are shown.