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IssuesArchive of Issues2018-1pp.23-32

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E.P. Dats, E.V. Murashkin, A.V. Tkacheva, and G.A. Shcherbatyuk, "Thermal Stresses in an Elastoplastic Tube Depending on the Choice of Yield Conditions," Mech. Solids. 53 (1), 23-32 (2018)
Year 2018 Volume 53 Number 1 Pages 23-32
DOI 10.3103/S002565441801003X
Title Thermal Stresses in an Elastoplastic Tube Depending on the Choice of Yield Conditions
Author(s) E.P. Dats (Vladivostok State University of Economics and Service, ul. Gogolya 41, Vladivostok, 690014 Russia)
E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe sh. 31, Moscow, 115409 Russia; Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5 str. 1, Moscow, 105005 Russia)
A.V. Tkacheva (Institute of Machinery and Metallurgy of the Far East Branch of the Russian Academy of Sciences, ul. Metallurgov 1, Komsomolsk-on-Amur, 681005 Russia, 4nansi4@mail.ru)
G.A. Shcherbatyuk (Komsomolsk-on-Amur State Technical University, pr. Lenina 27, Komsomol'sk-on-Amur, 681013 Russia)
Abstract We use the solution of a one-dimensional problem of the theory of thermal stresses in an elastoplastic tube heated on its interior surface and maintained at a constant temperature on the exterior surface as an example to make a comparison of both the results and solution methods depending on the choice of each of three conventional yield criteria: piecewise linear criteria of maximum shear and maximum reduced stresses and a smooth criterion of maximum octahedral stresses. It is established that while the transition of stresses from the face of the Tresca prism to its edge (change in the flow regime) in the first of the piecewise linear yield criteria takes place at the plastic flow onset, in the second one, this transition occurs on the elastoplastic boundary. The yield stress is assumed to be temperature dependent.
Keywords thermoelasticity, plasticity, yield surface, thermal stress
References
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Received 10 April 2017
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