Abstract
Elastoplastic solutions for thin plates and disks are sensitive to loading and plasticity conditions [1–5]. The plasticity condition for a number of metal materials depends on the mean stress [6–8]. In this case, when using the associated flow rule, plastic deformations do not satisfy the incompressibility condition, which is commonly accepted in statements of boundary-value problems for thin elastoplastic plates and disks [9–13]. It is of interest to determine the effect of plastic compressibility on the behavior of solutions for such structures. In this paper, a hollow disk in a rigid container subjected to a uniform temperature field is considered. The plasticity condition proposed in [14] is accepted. A general study of the set of equations including this plasticity condition and the associated flow rule was performed in [15]. The solution under the Mises plasticity condition was obtained in [1].
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Original Russian Text © S.E. Aleksandrov, E.V. Lomakin, I.-R. Dzeng, 2012, published in Doklady Akademii Nauk, 2012, Vol. 443, No. 3, pp. 310–312.
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Aleksandrov, S.E., Lomakin, E.V. & Dzeng, I.R. Solution of the thermoelastoplastic problem for a thin disk of plastically compressible material subjected to thermal loading. Dokl. Phys. 57, 136–139 (2012). https://doi.org/10.1134/S1028335812030081
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DOI: https://doi.org/10.1134/S1028335812030081