Transient dynamic stresses around two equal circular cavities in an infinite elastic strip

Abstract

Dynamic stresses in an infinite elastic strip, containing two circular cylindrical cavities, of equal radii, are determined under the assumption of plane strain. The cavities are placed so as to be symmetric with respect to the mid-plane, of the strip. A plane shock stress wave impinges the cavities. The problem is to research the stresses in a strip containing a single cavity. In the Laplace transform domain, boundary conditions at the plane surfaces and those at the circular cavity are satisfied with the Fourier transformation and the Schmidt method, respectively. The hoop stress in the Laplace transform domain is inverted numerically in the physical space.