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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 4, Pages 187–195
(Mi pmtf1781)
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This article is cited in 1 scientific paper (total in 1 paper)
One formulation of the problem of elastoplastic separation
V. V. Glagolev, A. A. Markin Tula State University, Tula, 300600, Russia
Abstract:
The problem of the beginning of motion of a cut in a plane under symmetric external loading is considered. The material lying on the cut continuation forms a layer (interaction layer). A transition to a plastic state within the layer is assumed to be possible. The behavior of the layer is described by an ideally elastoplastic model, and the plane outside the layer is assumed to be linearly elastic. A system of boundary integral equations for determining the stress-strain state is derived. Based on this system, a discrete model of separation of the layer material is constructed under the assumption of a constant stress-strain state in the element of the interaction layer. The distribution of stresses in the pre-fracture zone is determined.
Keywords:
characteristic size, boundary integral equation, linear elasticity, ideally elastoplastic model.
Received: 12.03.2008 Accepted: 29.05.2008
Citation:
V. V. Glagolev, A. A. Markin, “One formulation of the problem of elastoplastic separation”, Prikl. Mekh. Tekh. Fiz., 50:4 (2009), 187–195; J. Appl. Mech. Tech. Phys., 50:4 (2009), 701–707
Linking options:
https://www.mathnet.ru/eng/pmtf1781 https://www.mathnet.ru/eng/pmtf/v50/i4/p187
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