Abstract
On the basis of elasticity theory, a mathematical model is formulated for the closure of a crack-like cavity in an isotropic medium; the ends of the cavity are subject to the adhesive forces of the material. It is assumed that the interaction of the cavity surfaces under the action of bulk and surface loads may lead to zones of surface overlap. The unknowns that characterize cavity closure may be determined by the solution of a system of singular integrodifferential equations. The integral equations may be reduced to a system of nonlinear algebraic equations and solved by successive approximation. The contact stress, the forces between the edges of the cavity, and the dimensions of the end contact zones are determined.
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