Abstract
The article discusses an axisymmetric stress state of a piecewise-homogeneous space of two dissimilar half-spaces, which on the plane of the junction of dissimilar half-spaces contains a circular disk-shaped interfacial crack, on one of the sides of which an absolutely rigid stamp (circular shim) is pressed with adhesion, the radius of which is less than the radius of the crack. The governing equation of the problem is derived in the form of a single singular integral equation of the second kind with respect to the complex combination of reduced unknown contact stresses, the solution of which is constructed by the numerical-analytical method of mechanical quadratures. A numerical calculation was carried out and the regularities of the change in the Cherepanov-Rice integral on the boundary circle of the crack and the rigid displacement of the shim depending on the physical–mechanical and geometric characteristics of the problem were studied.
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Hakobyan, V.N., Grigoryan, A.H., Amirjanyan, H.A. (2023). On an Axisymmetric Contact Problem for a Piecewise-Homogeneous Space with Disk-Shaped Crack. In: Altenbach, H., Mkhitaryan, S.M., Hakobyan, V., Sahakyan, A.V. (eds) Solid Mechanics, Theory of Elasticity and Creep. Advanced Structured Materials, vol 185. Springer, Cham. https://doi.org/10.1007/978-3-031-18564-9_10
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