Abstract
This study applies linearized couple-stress theory to evaluate the dynamic stresses around a crack in an infinite elastic medium that is subjected to an incoming shock stress wave impinging normal to the crack. The boundary conditions with respect to the crack are reduced to dual integral equations using a Fourier transform in the Laplace domain. To solve these equations, the differences in the displacement and rotation at the crack are expanded by a series of functions that are zero-valued outside the crack in the Laplace domain. The unknown coefficients in each series are solved using the Schmidt method to satisfy the boundary conditions inside the crack. The stress intensity factor and the couple-stress intensity factor determined in the Laplace domain are inverted to the physical domain using a numerical method.
