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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1998, Volume 39, Issue 3, Pages 163–172
(Mi pmtf3281)
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This article is cited in 1 scientific paper (total in 1 paper)
Mixed problem of crack theory for antiplane deformation
V. A. Khandogin Novosibirsk State Technical University, Novosibirsk 630092
Abstract:
The elastic equilibrium of an isotropic plane with one linear defect under conditions of longitudinal shear is considered. The strain field is constructed by the solution of a twodimensional boundary-value Riemann problem with variable coefficients. A special method that reduce the general two-dimensional problem to two one-dimensional problems is proposed. The strain field is described by three types of asymptotic relations: for the tups of the defect, for the tips of the reinforcing edge, and also at a distance from the closely spaced tips of the defect and the rib. The general form of asymptotic relations for strains with finite energy is deduced from analysis of the variational symmetries of the equations of longitudinal shear. A paradox of the primal mixed boundary-value problem for cracks is formulated and a method of solving the problem is proposed.
Received: 08.08.1996
Citation:
V. A. Khandogin, “Mixed problem of crack theory for antiplane deformation”, Prikl. Mekh. Tekh. Fiz., 39:3 (1998), 163–172; J. Appl. Mech. Tech. Phys., 39:3 (1998), 467–475
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https://www.mathnet.ru/eng/pmtf3281 https://www.mathnet.ru/eng/pmtf/v39/i3/p163
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