Abstract
The motion of an infinite elastic plane medium and of a half plane is investigated subsequent to the sudden occurrence of a crack. This solution is derived by a finite difference technique. Results for the crack in the plane are compared with an independent solution for the problem obtained by solving integral equations numerically. Very good agreement is found. Oscillating waves with large amplitude decaying very slowly are found near the crack in the half plane. They do not occur near the crack in the plane. They are interpreted as surface waves trapped by the crack and the free surface of the elastic half plane.
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