Abstract
We obtain analytic solutions of the antiplane problems for a body with semiinfinite rectangular slot in the elastic and elastoplastic (single-strip model of the zone) statements. The load is given in the form of the asymptotics of stresses at infinity equal to the asymptotics of a semiinfinite crack of longitudinal shear expressed via the stress intensity factor. It is established that the development of plastic strips starts in the direction of continuation of the bisectors of the notch angles. Their lengths of the plastic strips are found as functions of the stress intensity factor.
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