Crack in a bonded functionally graded magneto-electro-elastic strip

Investigated is the anti-plane problem of functionally graded magneto-electro-elastic strip sandwiched between two functionally graded strips. It is assumed that the material properties vary exponentially with the coordinate parallel to the crack. The crack is assumed to be either magneto-electrically impermeable or permeable. Fourier transforms are used to reduce the crack problems to a system of singular integral equations, which is solved numerically by application of the Gauss-Chebyshev integration formula. Numerical results show the effects of the material gradient parameter and crack configuration on the field intensity factors of the crack.