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PLASTIC TORSION AT HIGH PRESSURE WITH NON-UNIFORM STRESS STATE

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Abstract—

An analytical solution for high-pressure torsion of a cylindrical sample placed in a rigid gasket is obtained. The sample material is assumed to be isotropic ideally plastic. The dependence of the yield strength on pressure is taken into account. A non-associated plastic flow model is used, which includes the Tresca plastic potential and the Mohr–Coulomb yield condition. The solution predicts the non-uniform stress in the sample. The stress state corresponds to the Haar–von Karman hypothesis. The torque, the average normal stress at the end of the cylindrical sample, and the distribution of the mean stress along the radius of the sample are determined. The conditions under which there is no slippage on the contact surface are indicated.

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Funding

The work was carried out within the framework of the state assignment of the KhFRC FEB RAS.

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Authors and Affiliations

  1. Khabarovsk Federal Research Center of the Far Eastern Branch of the Russian Academy of Sciences, 681005, Komsomolsk-on-Amur, Russia

    G. M. Sevast’yanov

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  1. G. M. Sevast’yanov
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Correspondence to G. M. Sevast’yanov.

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Translated by M. Katuev

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Sevast’yanov, G.M. PLASTIC TORSION AT HIGH PRESSURE WITH NON-UNIFORM STRESS STATE. Mech. Solids 56, 368–375 (2021). https://doi.org/10.3103/S0025654421030109

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