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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 11, Pages 12–22
(Mi ivm8390)
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This article is cited in 4 scientific papers (total in 4 papers)
Mathematical modeling of the stress state of a transverse plastic layer in a round rod
T. V. Eroshkina, V. L. Dil'man Chair of Higher Mathematics, Southern Ural State University, Chelyabinsk, Russia
Abstract:
We construct mathematical models of the plastic deformation of a continuous round rod containing a transverse (less strong) inhomogeneous layer under an axial load. We study the obtained models by analytical and numerical methods. We thoroughly study the local strengthening of such layers by involving the base material of the rod in the plastic deformation process. We obtain explicit formulas for the critical stress states in the layer and the critical axial load on the rod.
Keywords:
less strong layer, plastic deformation, local strengthening, system of hyperbolic partial differential equations.
Received: 08.09.2010
Citation:
T. V. Eroshkina, V. L. Dil'man, “Mathematical modeling of the stress state of a transverse plastic layer in a round rod”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 11, 12–22; Russian Math. (Iz. VUZ), 55:11 (2011), 9–17
Linking options:
https://www.mathnet.ru/eng/ivm8390 https://www.mathnet.ru/eng/ivm/y2011/i11/p12
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