Partial closure of a crack located in an infinite elastic layer

摘要

The elastostatic plane problem of an infinite elastic layer with a crack parallel to its surfaces loaded by a transverse pair of compressive concentrated forces P and a pair of uniform compressive stress p_0 along the crack surface is considered. It is assumed that the effect of gravity force is neglected. The value of initial load factor Q_c for the initial closure of the crack face is investigated and the closure length a extended while the load factor Q increases. The partial closure problem is solved assuming that the stress-intensity factor vanishes at the end point of the closure portion. The problem is formulated in terms of a singular integral equation for the derivative of the crack surface displacement. Numerical results for the stress-intensity factor, the closure (contact) length and the load factor are given for various dimensionless quantities.