We investigate the thermoelastoplastic state of an isotropic homogeneous medium under the action of temperature loads. A mathematical model of plastic flow is considered. We propose a method for constructing an unconditionally stable numerical scheme of the finite-element method for the solution of such problems. The process of propagation of the primary and secondary unloading zones in a body is shown. The time distribution of the intensity of plastic strain at a corner point of the body is presented. Results obtained without regard for the dependence of the yield strength on temperature and with regard for it are investigated.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 53, No. 4, pp. 117–126, October–December, 2010.
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Mukha, I.S., Nespliak, D.M. Numerical analysis of processes of thermoplastic deformation of axisymmetric bodies with regard for unloading. J Math Sci 181, 438–449 (2012). https://doi.org/10.1007/s10958-012-0696-4
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DOI: https://doi.org/10.1007/s10958-012-0696-4