Diffraction of a stress wave by two circular cylindrical cavities in an infinite elastic strip

Abstract

Dynamic stresses around two circular cylindrical cavities in an infinite elastic strip are considered during passage of a plane step stress wave. The center lines of the cavities are situated on the mid-surface of the strip. The tensile stress wave impinges on the cavities parallel to the plane boundaries. The Laplace transformation in time is used and the boundary conditions at the plane surfaces and those at the circular cavities are satisfied with the aid of the Fourier transformation and the Schmidt method, respectively. The Laplace transformed stresses at the cavities are inverted numerically in the physical space.