In this paper, dynamics of a strike-slip vertical fault in a half-space are studied. The fault is struck by obliquely incident polarized shear-stress plane waves, which generate an antiplane strain on the fault surface. The motion is opposed by a frictional stress, which is assumed to increase linearly with depth. Rupture velocity is found by requiring that stresses on the front of the sliding zone must be nonsingular. Mathematical expressions for the stress on the surface of the fault are obtained. These expressions can be used in conjunction with Green's function for an elastic half-space to determine the displacement at any time and location.

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