Dynamic response of interfacial finite cracks in orthotropic materials subjected to concentrated loads

摘要

The elastodynamic response of an infinite non-homogeneous orthotropic material with an interfacial finite crack under concentrated normal and shear impact loads is examined. Solution for the stress intensity factor history around the crack tips is found. Laplace and Fourier transforms are employed to solve the equations of motion leading to a Fredholm integral equation on the Laplace transform domain. The dynamic stress intensity factor history can be computed by numerical Laplace transform inversion of the solution of the Fredholm equation. Numerical values of the dynamic stress intensity factor history for some materials are obtained. Interfacial cracks between two different materials and between two pieces of the same material but different fiber orientation are considered. This solution can be used as a Green’s function to solve dynamic problems involving interfacial finite cracks in orthotropic bimaterials.