On the moving Griffith crack in a non-homogeneous orthotropic medium

A finite crack with constant length (Yoffe type crack) propagating in the functionally graded orthotropic medium under the plane loading is investigated by means of the Schmidt method. By using the Fourier transform and defining the jumps of displacement components across the crack surface as the unknown functions, two pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of the displacement components across the crack surface are expanded in a series of Jacobi polynomial. Numerical examples are provided to show the effects of material properties and the speed of the crack propagating upon the dynamic fracture behavior.