Effect of the anisotropic yield condition on the predicted distribution of residual stresses in a thin disk

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The effect of the replacement of the exact yield condition by that averaged over the distribution of residual stresses in a thin hollow disk subjected to external pressure and subsequent unloading is investigated. The formulation of the boundary-value problem is specially simplified so that it is possible to obtain a mathematically exact semi-analytical solution, with the help of which it is easy to investigate the effect of averaging the yield condition on the stressed state including the distribution of residual stresses. The accepted exact yield condition is averaged using several generally accepted approaches. The comparative analysis of the distribution of residual stresses shows a significant deviation of the distribution resulting from solutions for the averaged yield conditions from the exact distribution of residual stresses.

About the authors

F. V. Grechnikov

Samara Science Center of the Russian Academy of Sciences

Email: yaroslav.erisov@mail.ru

Russian Federation, 3a, Studencheskiy pereulok, Samara, 443001

Academician of the Russian Academy of Sciences

Ya. A. Erisov

Samara National Research University

Author for correspondence.
Email: yaroslav.erisov@mail.ru

Russian Federation, 34, Moscow highway, Samara, 443086

S. E. Alexandrov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences

Email: yaroslav.erisov@mail.ru

Russian Federation, 101, bldg. 1, Vernadskogo prospect, Moscow, 119526


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