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

Abstract—

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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REFERENCES

  1. 1

    A. M. Sulima, V. A. Shulov, and Yu. D. Yagodkin, Surface Layer and Service Properties of Engine Components (Mashinostroenie, Moscow, 1988) [in Russian].

    Google Scholar 

  2. 2

    V. F. Pavlov, V. A. Kirpichev, and V. S. Vakulyuk, Fatigue Resistance Prediction for Surface Hardened Parts by Residual Stresses (Izd. SNTs RAN, Samara, 2012) [in Russian].

  3. 3

    I. Altenberger, R. K. Nalla, Y. Sano, et al., “On the effect of deep-rolling and laser-peening on the stress-controlled low- and high-cycle fatigue behavior of Ti–6Al–4V at elevated temperatures up to 550°C,” Int. J. Fatigue 44, 292–302 (2012).

    Article  Google Scholar 

  4. 4

    M. A. Terres, N. Laalai, and H. Sidhom, “Effect of nitriding and shot-peening on the fatigue behavior of 42CrMo4 steel: experimental analysis and predictive approach,” Mater. Des. 35, 741–748 (2012).

    Article  Google Scholar 

  5. 5

    I. E. Keller, V. N. Trofimov, A. V. Vladykin et al., “On the reconstruction of residual stresses and strains of a plate after shot peening,” Vestn. Samarsk. Gos. Tekh. Univ. Ser. Fiz.-Mat. Nauki 22 (1), 40–64 (2018).

    Google Scholar 

  6. 6

    M. Jebahi, A. Gakwaya, J. Lévesque, et al., “Robust methodology to simulate real shot peening process using discrete-continuum coupling method,” Int. J. Mech. Sci. 107, 21–33 (2016).

    Article  Google Scholar 

  7. 7

    D. Gallitelli, V. Boyer, M. Gelineau, et al., “Simulation of shot peening: From process parameters to residual stress fields in a structure,” C. R. Mec. 344 (4–5), 355–374 (2016).

  8. 8

    V. P. Radchenko and V. V. Tsvetkov, “Kinetics of the stress-strain state of surface hardened cylindrical specimen under complex stress state of creep,” Vestn. Samarsk. Gos. Tekh. Univ. Ser. Fiz.-Mat. Nauki 18 (1), 93–108 (2014).

    Google Scholar 

  9. 9

    V. P. Radchenko, V. F. Pavlov, and M. N. Saushkin, “Investigation of surface plastic hardening anisotropy influence on residual stresses distribution in hollow and solid cylindrical specimens,” Vestn. PNIPU. Mekh., No. 1, 130–147 (2015).

  10. 10

    V. P. Radchenko, V. Ph. Pavlov, and M. N. Saushkin, “Mathematical modelling of the stress-strain state in surface hardened thin-walled tubes with regard to the residual shear stresses,” Vestn. PNIPU. Mekh., No. 1, 138–150 (2019).

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Funding

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). https://doi.org/10.3103/S0025654420660024

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Keywords:

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