Screw dislocation near a triple junction of phases with different elastic moduli: I. General solution

The boundary value problem in the theory of elasticity for a screw dislocation near a triple junction of phases having different elastic moduli is solved using a modified method of virtual surface dislocation. The exact analytical expressions for the dislocation stress fields are presented in the Mellin space. For the limiting case, when the interphase boundaries contact under right angles, the Mellin transforms for the distribution functions of virtual surface dislocations are found. This makes it possible to transform analytically the dislocation stress fields back into the real coordinate space and obtain them in an explicit form