Abstract
The solution of the problem of a loaded crack in an infinite strip is given using the method of superposition of three problems (a loaded crack in the infinite plane; an infinite homogeneous strip with normal and tangent stresses that are given on nonhomogeneous boundaries; an infinite strip with longitudinal generators which are free from load and an arbitrary load at the end), which makes it possible to satisfy the boundary conditions exactly.
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A. Broek, Foundations of Mechanics of Destruction [in Russian], Vysshaya Shkola, Moscow (1980).
A. I. Lur'e, Space Problems of Elasticity Theory [in Russian], Gostekhizdat, Moscow (1955).
V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshin, Distribution of Stresses near Cracks in Plates and Shells [in Russian], Naukova Dumka, Kiev (1976).
K. Sneddon, Fourier Transform [in Russian], Izd. Inostr. Lit., Moscow (1955).
M. Isida, “On the tension of a strip with a central elliptical hois,” Jpn. Soc. Mech. Eng., No. 21, 48–53 (1955).
H. M. Westergard, “Bearing pressure and cracks,” J. Appl. Mech., No. 61, 43–53 (1939).
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Translated from Dinamicheskie Sistemy, No. 9, pp. 65–71, 1990.
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Lamzyuk, V.D., Mossakovskii, V.I. & Sotnikova, S.D. On stresses in a strip with a crack. J Math Sci 70, 2000–2005 (1994). https://doi.org/10.1007/BF02110828
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DOI: https://doi.org/10.1007/BF02110828