Extended intensity factors of typical cracks in three-dimensoinal electromagnetoelastic materials

Using the Green´s functions, the extended general displacement solutions are obtained for a planar crack in a three-dimensional electromagnetothermoelastic solid by boundary integral equation method. Then the crack problem is reduced to solving a set of hypersingular integral equations, in which the unknown functions are the extended displacement discontinuities of the crack surface. Based on the analytical behavior of the unknown functions near the crack front, a numerical method for some typical cracks subjected to extended loads is proposed, in which the extended displacement discontinuities are approximated by the products of basic density functions and polynomials. Finally, the distributions of the extended intensity factors varying with the shape of the crack are presented. The results show that the present method yields smooth variations of extended intensity factors along the crack front accurately.