Fracture Analysis in a Functionally Graded Magnetoelectroelastic Plane by BIEM

A functionally graded magnetoelectroelastic (MEE) plane with a finite crack is considered. The crack is impermeable and subjected to anti-plane mechanical and in-plane electric and magnetic load. The fundamental solutions of the coupled system of the governing equations are derived in a closed form by the Radon transform. They are implemented in a non-hypersingular traction boundary integral equation method (BIEM). A program code in Fortran, based on the BIEM, is created. Comparison with the results obtained by a different method is presented. The numerical examples show the dependence of the stress intensity factor (SIF) on the normalized frequency for different magnitude of the material inhomogeneity. Results for a non-straight crack are also given.