We consider the equilibrium of two rigidly connected elastic half planes made of different materials, containing a semiinfinite crack on their interface, and subjected to the action of normal and tangential concentrated forces applied to the crack faces. We take into account the friction contact of the crack faces near the crack tip and at a certain distance from the tip. The solution of integral equation of the analyzed problem is obtained in the closed form with the help of the Wiener–Hopf method. We determined the boundaries of contact zones between the crack faces and the distributions of stresses in these zones and on the interface of half planes outside the crack.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 1, pp. 106–121, January–March, 2020.
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Ostryk, V.І. Contact of the Faces of an Interface Semiinfinite Crack. J Math Sci 270, 123–142 (2023). https://doi.org/10.1007/s10958-023-06336-x
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DOI: https://doi.org/10.1007/s10958-023-06336-x