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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 5, Pages 174–183
(Mi pmtf1412)
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This article is cited in 3 scientific papers (total in 3 papers)
Finding the elastic strain limit at the tip region of a physical cut with arbitrarily loaded faces
V. V. Glagolev, A. A. Markin Tula State University, Tula, 300600, Russia
Abstract:
A model describing the stress-strain state in the neighborhood of a physical cut with an arbitrary distribution of external load along its faces is presented. The stress-strain state of a material layer bounded by the continuations of the cut faces is considered. The interaction between the layer and the external half-planes leads to a closed system of integrodifferential equations for the mean stress components in the layer, which splits into two equations for the mean normal stresses and an equation for the mean shear stress. Numerical solutions of the system for the cases of symmetric and antisymmetric loading of the faces by concentrated forces are given. Conditions for the transition of the tip region of the cut to the state of plasticity and fracture are considered.
Keywords:
characteristic size, boundary integral equation, linear elasticity, crack, fracture.
Received: 06.06.2011 Accepted: 21.12.2011
Citation:
V. V. Glagolev, A. A. Markin, “Finding the elastic strain limit at the tip region of a physical cut with arbitrarily loaded faces”, Prikl. Mekh. Tekh. Fiz., 53:5 (2012), 174–183; J. Appl. Mech. Tech. Phys., 53:5 (2012), 784–792
Linking options:
https://www.mathnet.ru/eng/pmtf1412 https://www.mathnet.ru/eng/pmtf/v53/i5/p174
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Abstract page: | 24 | Full-text PDF : | 9 |
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