elasticity, thermoplasticity, pipe, heating of a pipe, residual tension, condition of plasticity of Ishlinsky-Ivlev

On the example of calculations of temperature stresses in a thick-walled elastoplastic pipe, when it is heated along the inner surface, it is shown that, in contrast to the classical solution in which the condition of plasticity of the maximum tangential stresses (Tresca-Saint- Venant condition) is used, under the same conditions, the maximum reduced tangential stresses the Ishinsky-Ivlev condition) the division of the plastic region into parts due to the exit of stressed states to the edge of the loading surface can begin with elastoplastic oh border, rather than from the surface of the elastic-plastic body. The algorithm of the numerical step-by-step calculation of the temperature stresses is given, allowing calculation of the stress-strain states in calculation of the stress-strain states without discretization of the computational domains, to track the time and place of occurrence and disappearance of the plastic flow areas, including the surfaces where the flow regime changes when passing from one face of the surface loading (oblique Ivlev prism) on its edge and on a different face. The yield point is considered to be temperature dependent in accordance with the quadratic law, the regularities of the elasto-plastic boundaries and the resulting residual stresses are calculated.

Burenin Anatoliy Aleksandrovich e-mail: mail@imim.ru, Corresponding member of RAS, Professor , Doctor of Sciences (Physics and Mathematics), Principal researcher of the Institute of Machinery and Metallurgy FEB RAS, Komsomolsk-on-Amur, Russia, Tkacheva Anastasia Valerevna , Research Assistant, Institute of Machine science and Metallurgy, Komsomolsk-on-Amur, Russia, Scherbatyuk Galina Anatolyevna , Senior lecturer, Komsomolsk-on-Amur State University, Komsomolsk-on-Amur, Russia.