Effect of anisotropy of surface plastic hardening on formation of residual stresses in cylindrical samples with semicircular notch

V. P. Radchenko ; A. Yu. Kurov

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 20 (2016) no. 4, pp. 675-690.

Résumé

We study effect of anisotropy of surface plastic hardening on formation of residual stresses in solid cylindrical samples and samples with semicircular notch. Experimentally determined one and/or two components of residual stresses in a hardened layer are used as an initial information. We describe calculation method for the rest of diagonal components of residual stresses and plastic strains tensors, off-diagonal components are not considered. We propose numerical method for calculation residual stresses in semicircular notch of surface hardened cylindrical sample. This task was reduced to boundary value problem of fictitious thermoelasticity where initial (plastic) strains are modeled with temperature strains. Solution was build with the use of finite element method. We studied in detail the effect of radius of notch and anisotropy parameters of hardening on the nature and magnitude of distribution of residual stresses depending on the depth of layer in the smallest cross section of cylindrical samples of EI961 alloy steel and 45 steel. It was determined that with small radii of notch lower then thickness of hardening layer the value of axial component of residual stresses (absolute value) is higher then in the sample without a notch. Developed method was experimentally verified for samples without notches and the correspondence between calculated and experimental data was determined on distribution of axial and circumferential residual stresses depending on depth of hardening layer. For samples with notches we compare numerical solutions from this work with known solutions of other authors.

Détail

Keywords: surface plastic hardening, anisotropy, cylindrical sample, residual stresses, semicircular notch, boundary value problem, finite element method.

Bibliographie

[1] Birger I. A., Ostatochnye napryazheniya [Residual stresses], Mashgiz, Moscow, 1963, 262 pp. (In Russian)

[2] Pavlov V. F., Kirpichev V. A., Ivanov V. B., Ostatochnye napryazheniya i soprotivlenie ustalosti uprochnennykh detaley s kontsentratorami napryazheniy [Residual Stresses and Fatigue Resistance of Hardened Parts with Stress Concentrators], Samara Scientific Center, Russian Academy of Sciences, Samara, 2008, 64 pp. (In Russian)

[3] Ivanov S. I., Pavlov V. F., Minin B. V., Kirpichev V. A., Kocherov E. P., Golovkin V. V., Ostatochnye napriazheniia i soprotivlenie ustalosti vysokonagruzhennykh rez'bovykh detalei [Residual stresses and fatigue resistance of heavily threaded parts], Samara Scientific Center, Russian Academy of Sciences, Samara, 2015, 170 pp. (In Russian)

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

[5] Sulima G. N., Shuvalov V. A., Iagodkin Yu. D., Poverkhnostnyi sloi i ekspluatatsionnye svoistva detalei mashin [Surface layer and performance of machine parts], Mashinostroenie, Moscow, 1988, 240 pp. (In Russian)

[6] Markov A. I., Ul'trazvukovaia obrabotka materialov [Ultrasonic Processing of Materials], Mashinostroenie, Moscow, 1989, 237 pp. (In Russian)

[7] Nozhnitskii Iu. A., Fishgoit A. V., Tkachenko R. I., Teplova S. V., “Development and application of new GTE parts hardening methods based on the plastic deformation of the surface layers”, Vestnik dvigatelestroeniia, 2006, no. 2, 8–16 (In Russian)

[8] Brockman R. A., Braisted W. R., Olson S. E., Tenaglia R. D., Clauer A. H., Langer K., Shepard M. J., “Prediction and characterization of residual stresses from laser shock peening”, International Journal of Fatigue, 36:1 (2012), 96–108 | DOI

[9] Dai K., Shaw L., “Analysis of fatigue resistance improvements via surface severe plastic deformation”, International Journal of Fatigue, 30:8 (2008), 1398–1408 | DOI

[10] James M. N., Hughes D. J., Chen Z., Lombard H., Hattingh D. G., Asquith D., Yates J. R., Webster P. J., “Prediction and characterization of residual stresses from laser shock peening”, Engineering Failure Analysis, 14:2 (2007), 384–395 | DOI

[11] Majzoobi G. H., Azadikhah K., Nemati J., “The effects of deep rolling and shot peening on fretting fatigue resistance of Aluminum-7075-T6”, Materials Science and Engineering A, 516:1–2 (2009), 235–247 | DOI

[12] Soady K. A., “Life assessment methodologies incoroporating shot peening process effects: Mechanistic consideration of residual stresses and strain hardening: Part 1 – Effect of shot peening on fatigue resistance”, Materials Science and Technology (United Kingdom), 29:6 (2013), 637–651 | DOI

[13] Terres M. A., Laalai N., Sidhom H., “Effect of nitriding and shot-peening on the fatigue behavior of 42CrMo4 steel: Experimental analysis and predictive approach”, Materials and Design, 35 (2012), 741–748 | DOI

[14] Pavlov V. F., Stoljarov A. K., Vakuljuk V. S., Kirpichev V. A., Raschet ostatochnykh napriazhenii v detaliakh s kontsentratorami napriazhenii po pervonachal'nym deformatsiiam [Calculation of residual stresses in parts with stress concentrators by initial deformations], Samara Scientific Center, Russian Academy of Sciences, Samara, 2008, 124 pp. (In Russian)

[15] Vakuljuk V. S., “Investigation of influence of thickness hardened layer on the redisiual stresses in basin concentrator using initial strain”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2010, no. 1(20), 222–225 (In Russian) | DOI

[16] Sazanov V. P., Chirkov A. V., Samoilov V. A., Larionova Yu. S., “Modeling of redistribution of residual stresses in the cylindrical specimens after advancing surface plastic forming”, Vestnik Samarskogo gosudarstvennogo aerokosmicheskogoo universiteta, 2011, no. 3(27), 171–174 (In Russian)

[17] Sazanov V. P., Afanas'eva O. S., Mikhal'kina S. A., Anokhin D. V., “The use of finite element modeling to determining the initial deformations in the surface hardened workpiece layer”, Proceedings of the Tenth All-Russian Scientific Conference with international participation (24–28 May 2016). Part 1, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2016, 195–200 (In Russian)

[18] Sazanov V. P., Vakuljuk V. S., Mikhalkina S. A., Surgutanov N. A., Kocherova E. E., “Radial initial deformations influence on residual stresses distribution in a surface hardened cylinder”, Izvestiia Samarskogo nauchnogo tsentra Rossiiskoi akademii nauk, 16:4 (2014), 163–167 (In Russian)

[19] Radchenko V. P., Saushkin M. N., 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)

[20] Saushkin M. N., Radchenko V. P., Pavlov V. F., “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

[21] Radchenko V. P., Pavlov V. Ph., Saushkin M. N., “Investigation of surface plastic hardening anisotropy influence on residual stresses distribution in hollow and solid cylindrical specimens”, PNRPU Mechanics Bulletin, 2015, no. 1, 130–147 (In Russian) | DOI

[22] Saushkin M. N., Kurov A. Yu., “Finite element modeling of residual stress distribution in solid hardened cylindrical samples and samples with semicircular notch”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, no. 3(24), 72–78 (In Russian) | DOI

[23] Saushkin M. N., Kurov A. Yu., “Analysis of stress state in semicircular profile notches after preliminary surface plastic deformation of solid cylindrical specimens”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2012, no. 1(26), 133–140 (In Russian) | DOI