Numerical Simulation of Three Dimensional Fracture Mechanics Problems of Functionally Graded Pipe and Pipe Bend Using XFEM

In the present work, an efficient extended finite element method has been used to solve the 3D fracture mechanics problems of part through semi-elliptical axial crack in the functionally graded material pipe and pipe bend. Pipe and pipe bend is subjected to internal pressure. Crack front is modelled using level set functions approximated by higher order shape function. Stress intensity factor at different points of crack front is obtained using interaction integral approach.