Kinetics of the stress-strain state of surface hardened cylindrical specimen under complex stress state of creep
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2014), pp. 93-108.

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The method for calculating the boundary-value problem of the evaluation of kinetics of the stress-strain state of surface-hardened solid cylindrical specimen under creep for three types of stress state (tension, pure torsion, the combined effect of tensile load and torque) is offered. The energy theory of creep and creep rupture strength is used as base of rheological model. The algorithm for numerical solution of the problem for calculating the relaxation of residual stresses in the surface-hardened layer of cylindrical specimen under creep for all three types of stress state is developed. The intensification of relaxation of all residual stress tensor components is established. The significant redistribution of stress state along the radius depending on time is observed. The results of variable-based calculations are presented.
Keywords: cylindrical specimen, plastic surface hardening, residual stresses, creep, tension with torsion, stresses relaxation.
Mots-clés : tension, torsion
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V. P. Radchenko; V. V. Tsvetkov. Kinetics of the stress-strain state of surface hardened cylindrical specimen under complex stress state of creep. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2014), pp. 93-108. http://geodesic.mathdoc.fr/item/VSGTU_2014_1_a8/

[1] V. F. Pavlov, V. A. Kirpichev, V. B. Ivanov, Ostatochnye napryazheniya i soprotivlenie ustalosti uprochnennykh detaley s kontsentratorami napryazheniy [Residual Stresses and Fatigue | Zbl

[2] Resistance of Hardened Parts with Stress Concentrators] Samara Scientific Center, Russian Academy of Sciences, Samara, 2008, 64 pp. (In Russian)

[3] I. G. Grichenko, Uprochnenie detaley iz zharoprochnykh i titanovykh splavov [Hardening Components of Heat-Resistant and Titanium Alloys], Mashinostroenie, Moscow, 1971, 120 pp. (In Russian)

[4] B. A. Kravchenko, V. G. Krutsilo, G. N. Gutman, Termoplasticheskoe uprochnenie — rezerv povysheniya prochnosti i nadezhnosti detaley mashin [Thermoplastic Hardening as a Reserve Increase of Strength and Reliability of Machine Parts], Samara State Technical University, Samara, 2000, 216 pp. (In Russian)

[5] A. M. Sulima, V. A. Shuvalov, Yu. D. Yagodkin, Poverkhnostniy sloi i ekspluatatsionne svoistva detaley mashin [Surface Layer and Performance of Machine Parts], Mashinostroenie, Moscow, 1988, 240 pp. (In Russian)

[6] V. P. Radchenko, M. N. Saushkin, Polzuchest' i relaksatsiya ostatochnykh napryazheniy v uprochnonnykh konstruktsiyakh [Creep and Relaxation of Residual Stresses in Hardened Structures], Mashinostroenie-1, Moscow, 2005, 226 pp. (In Russian)

[7] V. P. Radchenko, V. A. Kirpichev, V. A. Lunin, “Influence of thermoexposition on residual stresses of specimens from EP742 alloy after the ultrasonic hardening”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Tech. Nauki, 2012, no. 3(35), 147–154 (In Russian)

[8] V. I. Tseitlin, O. V. Kolotnikova, “Relaxation of residual stresses in gas-turbine engine parts”, Strength of Materials, 12:8 (1980), 982-984 | DOI

[9] D. J. Buchanan, R. John., “Relaxation of shot-peened residual stresses under creep loading”, Scripta Materialia, 59:3 (2008), 286–289 | DOI

[10] Lechun Xie, Chuanhai Jiang, Vincent Ji, “Thermal relaxation of residual stresses in shot peened surface layer of (TiB + TiC)/Ti-6Al-4V composite at elevated temperatures”, Materials Science and Engineering: A, 528:21 (2011), 6478—6489 | DOI

[11] B. J. Foss, S. Gray, M. C. Hardy, S. Stekovic, D. S. McPhail, B. A. Shollock, “Analysis of shot-peening and residual stress relaxation in the nickel-based superalloy RR1000”, Acta Materialia, 61:7 (2013), 2548–2559 | DOI

[12] A. Evans, S-B. Kim, J. Shackleton, G. Bruno, M. Preuss, P. J. Withers, “Relaxation of residual stress in shot peened Idimet 720Li under high temperature isothermae fatigue”, Int. J. Fatigue, 27:10–12 (2005), 1530–1534 | DOI

[13] M. Benedetti, V. Fontanari, P. Scardi, C. L. A. Ricardo, M. Banclini, “Reverse bending fatigue of shot peened 7075-T651 aluminium alloy: the role of residual stress relaxation”, Int. J. Fatigue, 2009, no. 31, 1225–1236 | DOI

[14] Jong-Cheon Kim, Seong-Kyun Cheong, Hirochi Noguchi, “Residual stress relaxation and low- and high-cycle fatigue behavior of shot-peened medium-carbon steel”, Int. J. Fatigue, 56 (2013), 114–122 | DOI

[15] O. V. Kolotnikova, “Effectiveness of hardening by methods of plastic surface deformation of components operating at high temperatures”, Strength of Material, 15:2 (1983), 292–295 | DOI

[16] S. I. Ivanov, “Residual stresses determination in cylinder surface layer”, Voprosy prochnosti elementov aviatsionnykh konstruktsiy [Problems of strength for aircraft structural elements], v. 48, Kuibyshev Aviation Institute, Kuibyshev, 1971, 153–168 (In Russian)

[17] S. I. Ivanov, “To residual stresses definition in a cylinder by using the rings and stripes method”, Ostatochnye napryazheniya [Residual Stresses], v. 53, Kuibyshev Aviation Institute, Kuibyshev, 1974, 32–42 (In Russian)

[18] V. P. Radchenko, M. N. Saushkin, V. F. Pavlov, “Method of calculating the fields of residual stresses and plastic strains in cylindrical specimens with allowance for surface hardening anisotropy”, J. Appl. Mech. Tech. Phys., 52:2 (2011), 303–310 | DOI | Zbl

[19] V. P. Radchenko, M. N. Saushkin, “Mathematical models of recovery and relaxation of residual stresses in the surface-hardened of cylindrical structural elements under creeping”, Izv. Vyssh. Uchebn. Zaved., Mashinostr., 2004, no. 11, 3–17 (In Russian)

[20] V. P. Radchenko, M. N. Saushkin, “Direct method of solving the boundary-value problem of relaxation of residual stresses in a hardened cylindrical specimen under creep conditions”, J. Appl. Mech. Tech. Phys., 50:6 (2009), 989–997 | DOI | Zbl

[21] V. P. Radchenko, V. F. Pavlov, M. N. Saushkin, “Determination of anisotropy of strengthening and residual stresses in a steel sample cylinder treated with a roller”, Journal of Machinery Manufacture and Reliability, 40:4 (2011), 379–385 | DOI

[22] V. P. Radchenko, V. V. Tsvetkov, “The stress-strain state of cylindrical sample from alloy D16T under axial tension and torsion creep”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2013, no. 3(32), 77–86 (In Russian) | DOI | Zbl

[23] B. V. Gorev, A. F. Nikitenko, Energeticheskiy variant teorii polzuchesti [Energy variant of the theory of creep], Inst. of Hydrodynamics, USSR Acad. of Sci., Novosibirsk, 1986, 96 pp. (In Russian)

[24] V. P. Radchenko, Yu. A. Eremin, Reologicheskoe deformirovanie i razrushenie materialov i elementov konstruktsiy [Rheological Deformation and Fracture of Materials and Structural Elements], Mashinostroenie-1, Moscow, 2004, 264 pp. (In Russian)