A moving crack propagating in a functionally graded magnetoelectroelastic strip under different crack face conditions

An anti-plane moving crack problem in a functionally graded magnetoelectroelastic strip under magneto-electrically impermeable or permeable conditions is investigated. Fourier cosine transforms are applied to reduce the mixed-boundary-value problem to dual integral equations and then Fredholm integral equations of the second kind. The equations can be solved numerically and field intensity factors are determined. The effects of the geometric size of the composite, the functionally graded parameter and the crack moving velocity on the field intensity factors are analyzed. Also the crack kinking phenomena under impermeable and permeable conditions are discussed. The results show that the coupled magneto-electrical field has great effects on the stress intensity factor and the probable kinking direction will be affected by the moving velocity, the thickness of the strip as well as crack surface magneto-electrical boundary condition remarkably.