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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2021-6pp.902-910

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Vasil'ev V.V., Lurie S.A., and Salov V.A., "New Solution to the Problem of a Crack in an Orthotropic Plate under Tension," Mech. Solids. 56 (6), 902-910 (2021)
Year 2021 Volume 56 Number 6 Pages 902-910
DOI 10.3103/S0025654421060200
Title New Solution to the Problem of a Crack in an Orthotropic Plate under Tension
Author(s) Vasil'ev V.V. (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, vvvas@dol.ru)
Lurie S.A. (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia; Institute of Applied Mechanics of Russian Academy of Sciences, 125040, Moscow, Russia)
Salov V.A. (The Central Research Institute for Special Machinery, Khotkovo, Moscow Region, 141371 Russia)
Abstract A classical plane problem of the theory of elasticity about a crack in a stretched orthotropic elastic unbounded plane is considered, which leads to a singular solution for stresses in the vicinity of the crack edge. The relations of the generalized theory of elasticity, including a small scale parameter, are given. The equations of the generalized theory are of a higher order than the equations of the classical theory and allow eliminating the singularity of the classical solution. The scale parameter is determined experimentally. The results obtained determine the effect of the crack length on the bearing capacity of the plate and are compared with the experimental results for plates made of fiberglass and carbon fiber reinforced plastic.
Keywords theory of elasticity, non-classical theory of elasticity, plane problem of a crack in an orthotropic plate
Received 17 March 2021Revised 22 March 2021Accepted 29 March 2021
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