Deformation of two welded half-spaces due to inclined shear and tensile point dislocations and a centre of dilation

Closed-form analytical expressions are obtained for the displacements cause d by an inclined shear or tensile point dislocation located in an elastic h alf-space which is in welded contact with another elastic half-space along a plane interface. These expressions are valid for arbitrary values of the Poisson's ratios of the two media and for arbitrary observer locations. The derivation is straightforward and uses the body force equivalence of the s hear and tensile point dislocations and the Rongved [1995. Force interior t o one of two joined semi-infinite solids. In: Bogdanoff, J.L. (Ed.), Procee dings of the 2nd Midwestern Conference on Solid Mechanics, Purdue Universit y, Indiana, Res. Ser. 129, pp. 1-13] solution for a point force in terms of the Papkovich-Neuber displacement potentials. The solution for an arbitrar y point displacement dislocation can be expressed as a linear combination o f the solutions for six fundamental point sources, viz. vertical strike-sli p, horizontal strike-slip, vertical dip-slip, 45 degrees dip-slip, centre o f dilation and horizontal dipole without moment. While the solutions for a vertical strike-slip, a vertical dip-slip and a horizontal dipole were pres ented in an earlier paper ([Kumari, G., Singh, S.J., Singh, K., 1992. Phys. Earth Planet. Int. 73, 53-76] referred to as Paper I), the solutions for t he remaining three sources are given in the present paper. An error in the results for a horizontal dipole in Paper I is also corrected. (C) 2000 Else vier Science B.V. All rights reserved.