Abstract

The central problem of this paper concerns the surface motion of an elastic half-space acted upon by a moving line load. The load, which has components in the horizontal and vertical directions, is suddenly excited at t=0 and thereafter moves with a constant speed c. The load speed is free to lie anywhere in the range 0≤ c≤∞. Detailed results are presented for the horizontal (vertical) component of surface displacement due to a moving normal (tangential) line load. It is shown that this displacement becomes unbounded at the location of the moving load x= ct provided c= c r , the Rayleigh wave speed, or c lies in the range c 2 < c < c 1. In the latter case, the singularity is removable if c 2 2/c 2= 1 2 .

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