Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-5pp.2806-2819

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K.B. Ustinov and N.L. Borisova, "Splitting of a Strip Consisting of Two Identical Orthotropic Half-Strips with Isotropy Axes Symmetrically Inclined to the Interface," Mech. Solids. 59 (5), 2806-2819 (2024)
Year 2024 Volume 59 Number 5 Pages 2806-2819
DOI 10.1134/S0025654424603252
Title Splitting of a Strip Consisting of Two Identical Orthotropic Half-Strips with Isotropy Axes Symmetrically Inclined to the Interface
Author(s) K.B. Ustinov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, ustinov@ipmnet.ru)
N.L. Borisova (Federal State Educational Institution of Higher Education “Prince Alexander Nevsky Military University” of the Ministry of Defense of the Russian Federation, Moscow, 123001 Russia, nbolo@yandex.ru)
Abstract An exact analytical solution is obtained for the two-dimensional problem of a strip composed by two half-strips of equal thickness from the same linearly elastic orthotropic material with the main axes of the elasticity tensor symmetrically inclined to the interface and a central semi-infinite crack running along the interface. A self-balanced system of loads is assumed to be applied sufficiently far from the crack tip. For four independent active loading modes, expressions for stress intensity factors are found in the form of combinations of elementary functions or single integrals of combinations of elementary functions depending on three independent parameters.
Keywords stress intensity factors, integral transforms, Wiener-Hopf method
Received 30 May 2024Revised 11 May 2024Accepted 28 May 2024
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