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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 8, Pages 34–43
(Mi ivm8816)
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This article is cited in 4 scientific papers (total in 4 papers)
The stress state of a plastic layer with a variable yield strength under a flat deformation
V. L. Dil'man, T. V. Karpeta Chair Applied Mathematics, South Ural State University, 76 Lenin Ave., Chelyabinsk, 454080 Russia
Abstract:
We study the stress state of a plastic layer with a variable yield strength in a strip under a flat deformation with a tensile load. We approximately calculate the first integrals of the system of plastic equilibrium equations, obtain an analog of the first Hencky theorem, and solve the conjugation problem for stresses on the contact boundary.
Keywords:
stress state, inhomogeneous plastic layer, flat deformation, Hencky integrals.
Received: 04.02.2012
Citation:
V. L. Dil'man, T. V. Karpeta, “The stress state of a plastic layer with a variable yield strength under a flat deformation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 8, 34–43; Russian Math. (Iz. VUZ), 57:8 (2013), 29–36
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https://www.mathnet.ru/eng/ivm8816 https://www.mathnet.ru/eng/ivm/y2013/i8/p34
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Abstract page: | 185 | Full-text PDF : | 34 | References: | 32 | First page: | 4 |
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