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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 6, Pages 181–190
(Mi pmtf1132)
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This article is cited in 6 scientific papers (total in 6 papers)
Simulation of partial closure of a crack-like cavity with cohesion between the faces in an isotropic medium
V. M. Mirsalimov, B. È. Rustamov Azerbaijan Technical University, Baku, AZ1129, Azerbaijan
Abstract:
A mathematical model for the closure of a crack-like cavity with cohesive end zones in an isotropic medium is constructed using methods of elastic theory. It is assumed that the interaction between the surfaces of the crack-like cavity under the action of body and surface forces can lead to the formation of contact zones on their surfaces. Determination of the unknown parameters characterizing the closure of the crack-like cavity reduces to a system of singular integrodifferential equations. The integral equations are converted to a system of nonlinear algebraic equations which is solved by the method of successive approximations. The contact stresses, the interaction forces between the faces of the crack-like cavity, and the size of the contact zone in which the faces of the crack-like cavities are closed are determined.
Keywords:
isotropic medium, crack-like cavity, end zones of cavity, traction, body forces, contact stress.
Received: 27.03.2012 Revised: 25.04.2013
Citation:
V. M. Mirsalimov, B. È. Rustamov, “Simulation of partial closure of a crack-like cavity with cohesion between the faces in an isotropic medium”, Prikl. Mekh. Tekh. Fiz., 54:6 (2013), 181–190; J. Appl. Mech. Tech. Phys., 54:6 (2013), 1021–1029
Linking options:
https://www.mathnet.ru/eng/pmtf1132 https://www.mathnet.ru/eng/pmtf/v54/i6/p181
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