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Thermal Stresses in an Elastoplastic Tube Depending on the Choice of Yield Conditions

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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.

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Authors and Affiliations

  1. Vladivostok State University of Economics and Service, ul. Gogolya 41, Vladivostok, 690014, Russia

    E. P. Dats

  2. Ishlinsky Institute for Problems inMechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526, Russia

    E. V. Murashkin

  3. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe sh. 31, Moscow, 115409, Russia

    E. V. Murashkin

  4. Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5 str. 1, Moscow, 105005, Russia

    E. V. Murashkin

  5. Institute ofMachinery and Metallurgy of the Far East Branch of the Russian Academy of Sciences, ul. Metallurgov 1, Komsomolsk-on-Amur, 681005, Russia

    A. V. Tkacheva

  6. Komsomolsk-on-Amur State Technical University, pr. Lenina 27, Komsomol’sk-on-Amur, 681013, Russia

    G. A. Shcherbatyuk

Authors
  1. E. P. Dats
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  2. E. V. Murashkin
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  3. A. V. Tkacheva
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  4. G. A. Shcherbatyuk
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Corresponding author

Correspondence to A. V. Tkacheva.

Additional information

Original Russian Text © E.P. Dats, E.V. Murashkin, A.V. Tkacheva, G.A. Shcherbatyuk, 2017, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2018, No. 1, pp. 32–43.

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Dats, E.P., Murashkin, E.V., Tkacheva, A.V. et al. Thermal Stresses in an Elastoplastic Tube Depending on the Choice of Yield Conditions. Mech. Solids 53, 23–32 (2018). https://doi.org/10.3103/S002565441801003X

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  • DOI: https://doi.org/10.3103/S002565441801003X

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