We consider a problem of wedging of an elastic wedge by a rigid plate along an edge crack that is located on the axis of symmetry of the wedge and reaches its vertex. The detachment of the crack faces from the surfaces of the plate is taken into account. Using the Wiener–Hopf method, we obtain an analytic solution of the problem. The size of the detachment zone, the stress intensity factor, the distribution of stresses on the line of continuation of the crack and in the contact domain, and circular displacements of the crack faces are determined.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 53, No. 1, pp. 109–119, January–March, 2010.
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Ulitko, A.F., Nekislykh, K.M. & Ostrik, V.I. Wedging of an elastic wedge by a rigid plate under conditions of contact with detaching. J Math Sci 176, 631–645 (2011). https://doi.org/10.1007/s10958-011-0427-2
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DOI: https://doi.org/10.1007/s10958-011-0427-2