Singular behaviour near a crack tip in an electrostrictive material

摘要

A crack in a nonlinear electrostrictive material under electric loading is analyzed. Asymptotic singular solutions in the vicinity of the tip of the crack with electrically conducting or imper- meable surfaces are obtained to the second order with the help of conservation integrals. The relation between the J-integral and the intensity factors of the stress and the electric field is derived for the conducting crack as well as for the insulating crack.