Abstract
The problem of the longitudinal cleavage of an infinite elastic strip by a thin smooth rigid wedge is examined. The wedge moves symmetrically with respect to the faces of the strip at a constant supersonic velocity. Formulas are obtained that govern the stresses in the domain of wedge contact with the elastic medium and the displacements of points of the slit edge outside the contact domain for certain relationships between the parameters of the problem. Conditions are set up for which separation of the medium from the wedge surface occurs. Unlike the case of wedge motion at a speed less than the Rayleigh velocity /1, 2/, when a crack is formed ahead of the wedge, no crack is formed when the wedge moves at supersonic speed. The contact problem of the motion of a rigid stamp with a flat smooth base at a supersonic speed over the surface of an elastic strip was investigated /3/ in a similar formulation.
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