Multiple cracks in a functionally graded electro-magneto- elastic rectangular plane

In this paper, the static problem of several cracks in a functionally graded piezoelectric–piezomagnetic (FGPP) rectangular plane subjected to concentrated anti-plane mechanical and in-plane electric and magnetic fields is described. The material properties are assumed to vary continuously according to exponential functions along the transverse of the FGPP rectangular plane. The dislocation method and integral transforms technique are applied to obtain a set of Cauchy singular integral equations. Thestress, electric and magnetic intensity factors for several cracks, are obtained by using the corresponding solution to these equations. The numerical examples of mode-III problem are presented to illustrate the interesting mechanical and electromagnetic coupling phenomena induced by multicrack interactions. Finally, the effects of material nonhomogeneity constant, the cracks length, position of point load and the cracks configuration upon the stress and electromagnetic intensity factors are investigated. The obtained conclusions seem useful for design of the magnetoelectroelastic structures and devices of high performance.