Relaxation of Residual Stresses in a Surface-Hardened Cylinder under Creep Conditions and Rigid Restrictions on Linear and Angular Deformations


A method for solving the boundary value problem of a residual stress relaxation in a surface-hardened solid cylinder under creep conditions with initially defined and rigidly fixed axial deformation and torsion angle has been developed. It includes a phenomenological methodology for reconstructing the stress-strain state after hardening and its kinetics during relaxation of axial load and torsional moment due to creep. In order to illustrate the method, a cylindrical specimen made of ZhS6KP alloy after pneumo-shot peening is considered. A detailed investigation of the residual stress relaxation has been performed for various combinations of initially defined and fixed axial and angular deformations at temperature of 900°C. The results of a comparative analysis of obtained data with data for the residual stress relaxation under pure temperature loading in the absence of mechanical loads are presented.

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This study was supported by the Russian Science Foundation (project no. 19-19-00062).

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Correspondence to V. P. Radchenko or V. V. Tsvetkov.

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Radchenko, V.P., Tsvetkov, V.V. & Derevyanka, E.E. Relaxation of Residual Stresses in a Surface-Hardened Cylinder under Creep Conditions and Rigid Restrictions on Linear and Angular Deformations. Mech. Solids 55, 898–906 (2020).

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  • residual stresses
  • surface plastic hardening
  • solid cylindrical specimen
  • initial axial and angular deformations
  • rigid restraint
  • creep
  • relaxation