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This article is cited in 3 scientific papers (total in 3 papers)
Determining the stress-strain state of elastic-plastic solids with a lateral crack-like defect with the use of a model with a linear size
V. V. Glagolev, L. V. Glagolev, A. A. Markin Tula State University, Tula, 300600, Russia
Abstract:
A model of a physical section that describes stress-strain states in elastic-plastic solids weakened by cracks is proposed. The problem of plane deformation and the stress state of a solid of an infinite size of an arbitrary geometry, weakened by a physical section, is solved. It comes down to a system of two variational equations with respect to displacement fields in the parts of the solid bordering the interaction layer. For a material whose properties are close to those of a D16T alloy, the linear parameter introduced into the crack model is estimated, and the critical conditions of solids with lateral cracks in the case of a normal detachment are determined.
Keywords:
crack, elastic-plastic deformations, characteristic size, finite element method.
Received: 13.11.2017 Revised: 13.02.2018
Citation:
V. V. Glagolev, L. V. Glagolev, A. A. Markin, “Determining the stress-strain state of elastic-plastic solids with a lateral crack-like defect with the use of a model with a linear size”, Prikl. Mekh. Tekh. Fiz., 59:6 (2018), 143–154; J. Appl. Mech. Tech. Phys., 59:6 (2018), 1085–1094
Linking options:
https://www.mathnet.ru/eng/pmtf509 https://www.mathnet.ru/eng/pmtf/v59/i6/p143
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