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Prediction of residual stress, surface roughness, and grain refinement of 42CrMo steel subjected to shot peening by combining finite element method and artificial neural network

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Abstract

Shot peening (SP) is a widely used surface treatment technology of metallic materials. In order to investigate the effects of the shot velocity and the SP coverage on the surface integrity of the SPed materials, a numerical prediction framework combining the finite element method (FEM) with the artificial neural network (ANN) algorithm was proposed. A three-dimensional finite element model in conjunction with the dislocation density-based constitutive relation was developed to simulate the process of SP of 42CrMo steel. The FEM was validated by comparing the prediction results with the experimental data including the indentation profile produced by the single-shot impact and the in-depth residual stresses induced by the multiple-shot impacts. Based on the FEM simulation results, an attempt to predict the surface integrity of 42CrMo steel subjected to SP was made by taking advantage of the ANN algorithm, and the obtained results indicate that the predictions of the GA-BP-ANN algorithm (the back-propagation artificial neural network algorithm optimized by the genetic algorithm) are in good agreement with the FEM simulation results in terms of the SP-induced residual stresses, equivalent plastic strain, grain refinement, and surface roughness. This study therefore provides a new idea to predict the surface integrity of the metallic materials subjected to SP by combining the FEM simulation with ANN algorithm.

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References

  1. Li X, Zhang JW, Yang B, Zhang JX, Wu MZ, Lu LT (2020) Effect of micro-shot peening, conventional shot peening and their combination on fatigue property of EA4T axle steel. J Mater Process Technol 275:116320. https://doi.org/10.1016/j.jmatprotec.2019.116320

    Article  Google Scholar 

  2. Oguri K (2011) Fatigue life enhancement of aluminum alloy for aircraft by fine particle shot peening (FPSP). J Mater Process Technol 211(8):1395–1399. https://doi.org/10.1016/j.jmatprotec.2011.03.011

    Article  Google Scholar 

  3. Wang C, Lai YB, Wang L, Wang CL (2020) Dislocation-based study on the influences of shot peening on fatigue resistance. Surf Coat Technol 383:125247. https://doi.org/10.1016/j.surfcoat.2019.125247

    Article  Google Scholar 

  4. Wang C, Wang CL, Wang L, Lai YB, Li K, Zhou YJ (2020) A dislocation density–based comparative study of grain refinement, residual stresses, and surface roughness induced by shot peening and surface mechanical attrition treatment. Int J Adv Manuf Technol 108(1):505–525. https://doi.org/10.1007/s00170-020-05413-8

    Article  Google Scholar 

  5. Gariépy A, Miao HY, Lévesque M (2017) Simulation of the shot peening process with variable shot diameters and impacting velocities. Adv Eng Softw 114:121–133. https://doi.org/10.1016/j.advengsoft.2017.06.011

    Article  Google Scholar 

  6. Trung PQ, Butler DL, Idapalapati S (2018) A numerical and experimental study of distribution of the residual stress on the shot peened low alloy steel. J Eng Mater Technol 140(4):041006. https://doi.org/10.1115/1.4040004

    Article  Google Scholar 

  7. Qin Z, Li B, Zhang H, Wilfried TYA, Gao T, Xue HQ (2022) Effects of shot peening with different coverage on surface integrity and fatigue crack growth properties of 7B50-T7751 aluminum alloy. Eng Fail Anal 133:106010. https://doi.org/10.1016/j.engfailanal.2021.106010

    Article  Google Scholar 

  8. Nordin E, Alfredsson B (2017) Experimental investigation of shot peening on case hardened SS2506 gear steel. Exp Tech 41(4):433–451. https://doi.org/10.1007/s40799-017-0183-4

    Article  Google Scholar 

  9. Liang D, Meng S, Chen Y, Hua CL (2020) Experimental analysis of residual stress and bending strength of gear tooth surface after shot peening treatment. Shock Vib 2020:3426504. https://doi.org/10.1155/2020/3426504

    Article  Google Scholar 

  10. Wu JZ, Liu HJ, Wei PT, Zhu CC, Lin QJ (2020) Effect of shot peening coverage on hardness, residual stress and surface morphology of carburized rollers. Surf Coat Technol 384:125273. https://doi.org/10.1016/j.surfcoat.2019.125273

    Article  Google Scholar 

  11. Miao HY, Demers D, Larose S, Perron C, Lévesque M (2010) Experimental study of shot peening and stress peen forming. J Mater Process Technol 210(15):2089–2102. https://doi.org/10.1016/j.jmatprotec.2010.07.016

    Article  Google Scholar 

  12. Maleki E, Unal O (2018) Roles of surface coverage increase and re-peening on properties of AISI 1045 carbon steel in conventional and severe shot peening processes. Surf Interfaces 11:82–90. https://doi.org/10.1016/j.surfin.2018.03.003

    Article  Google Scholar 

  13. Maleki E, Unal O, Kashyzadeh KR (2018) Effects of conventional, severe, over, and re-shot peening processes on the fatigue behavior of mild carbon steel. Surf Coat Technol 344:62–74. https://doi.org/10.1016/j.surfcoat.2018.02.081

    Article  Google Scholar 

  14. Chen M, Liu HB, Wang LB, Wang CX, Zhu KY, Xu Z, Jiang CH (2018) Evaluation of the residual stress and microstructure character in SAF 2507 duplex stainless steel after multiple shot peening process. Surf Coat Technol 344:132–140. https://doi.org/10.1016/j.surfcoat.2018.03.012

    Article  Google Scholar 

  15. Bao L, Li K, Zheng JY, Zhang YL, Zhan K, Yang Z, Zhao B, Ji V (2022) Surface characteristics and stress corrosion behavior of AA 7075–T6 aluminum alloys after different shot peening processes. Surf Coat Technol 440:128481. https://doi.org/10.1016/j.surfcoat.2022.128481

    Article  Google Scholar 

  16. Zhang YL, Lai FQ, Qu SG, Ji V, Liu HP, Li XQ (2020) Effect of shot peening on residual stress distribution and tribological behaviors of 17Cr2Ni2MoVNb steel. Surf Coat Technol 386:125497. https://doi.org/10.1016/j.surfcoat.2020.125497

    Article  Google Scholar 

  17. Ghanbari S, Bahr DF (2020) Predictions of decreased surface roughness after shot peening using controlled media dimensions. J Mater Sci Technol 58:120–129. https://doi.org/10.1016/j.jmst.2020.03.075

    Article  Google Scholar 

  18. Liu HM, Dong HT, Tang JY, Ding H, Shao W, Zhao JY, Jiang TT (2021) Numerical modeling and experimental verification of surface roughness of 12Cr2Ni4A alloy steel generated by shot peening. Surf Coat Technol 422:127538. https://doi.org/10.1016/j.surfcoat.2021.127538

    Article  Google Scholar 

  19. Hu DY, Gao Y, Meng FC, Song J, Wang YF, Ren MG, Wang RQ (2017) A unifying approach in simulating the shot peening process using a 3D random representative volume finite element model. Chinese J Aeronaut 30(4):1592–1602. https://doi.org/10.1016/j.cja.2016.11.005

    Article  Google Scholar 

  20. Pham TQ, Khun NW, Butler DL (2017) New approach to estimate coverage parameter in 3D FEM shot peening simulation. Surf Eng 33(9):687–695. https://doi.org/10.1080/02670844.2016.1274536

    Article  Google Scholar 

  21. Zhao JY, Tang JY, Zhou WH, Jiang TT, Liu HM, Xing B (2022) Numerical modeling and experimental verification of residual stress distribution evolution of 12Cr2Ni4A steel generated by shot peening. Surf Coat Technol 430:127993. https://doi.org/10.1016/j.surfcoat.2021.127993

    Article  Google Scholar 

  22. Zhao JY, Tang JY, Zhou WH, Jiang TT, Wu H, Liao XG, Guo MZ (2022) Surface integrity of gear shot peening considering complex geometric conditions: A sequential coupled DEM-FEM method. Surf Coat Technol 449:128943. https://doi.org/10.1016/j.surfcoat.2022.128943

    Article  Google Scholar 

  23. Vajs I, Drajic D, Gligoric N, Radovanovic I, Popovic I (2021) Developing relative humidity and temperature corrections for low-cost sensors using machine learning. Sensors 21(10):3338. https://doi.org/10.3390/s21103338

    Article  Google Scholar 

  24. Ghoniem M, Awad T, Mokhiamar O (2020) Control of a new low-cost semi-active vehicle suspension system using artificial neural networks. Alex Eng J 59(5):4013–4025. https://doi.org/10.1016/j.aej.2020.07.007

    Article  Google Scholar 

  25. Goluguri NV, Devi KS, Srinivasan P (2021) Rice-net: an efficient artificial fish swarm optimization applied deep convolutional neural network model for identifying the Oryza sativa diseases. Neural Comput Appl 33(11):5869–5884. https://doi.org/10.1007/s00521-020-05364-x

    Article  Google Scholar 

  26. Ding JT, Tu HY, Zang ZL, Huang M, Zhou SJ (2018) Precise control and prediction of the greenhouse growth environment of Dendrobium candidum. Comput Electron Agric 151:453–459. https://doi.org/10.1016/j.compag.2018.06.037

    Article  Google Scholar 

  27. Ahmadi MH, Sadeghzadeh M, Maddah H, Solouk A, Kumar R, Chau K (2019) Precise smart model for estimating dynamic viscosity of SiO2/ethylene glycol–water nanofluid. Eng Appl Comput Fluid Mech 13(1):1095–1105. https://doi.org/10.1080/19942060.2019.1668303

    Article  Google Scholar 

  28. Maleki E, Unal O (2021) Fatigue limit prediction and analysis of nano-structured AISI 304 steel by severe shot peening via ANN. Eng Comput 37(4):2663–2678. https://doi.org/10.1007/s00366-020-00964-6

    Article  Google Scholar 

  29. Ali JB, Chebel-Morello B, Saidi L, Malinowski S, Fnaiech F (2015) Accurate bearing remaining useful life prediction based on Weibull distribution and artificial neural network. Mech Syst Signal Process 56:150–172. https://doi.org/10.1016/j.ymssp.2014.10.014

    Article  Google Scholar 

  30. Swain RR, Khilar PM (2017) Composite fault diagnosis in wireless sensor networks using neural networks. Wirel Pers Commun 95(3):2507–2548. https://doi.org/10.1007/s11277-016-3931-3

    Article  Google Scholar 

  31. Liu RN, Yang BY, Zio E, Chen XF (2018) Artificial intelligence for fault diagnosis of rotating machinery: a review. Mech Syst Signal Process 108:33–47. https://doi.org/10.1016/j.ymssp.2018.02.016

    Article  Google Scholar 

  32. Bingöl S, Kılıçgedik HY (2018) Application of gene expression programming in hot metal forming for intelligent manufacturing. Neural Comput Appl 30(3):937–945. https://doi.org/10.1007/s00521-016-2718-5

    Article  Google Scholar 

  33. Mrzygłód B, Hawryluk M, Gronostajski Z, Opaliński A, Kaszuba M, Polak S, Widomski P, Ziemba J, Zwierzchowski M (2018) Durability analysis of forging tools after different variants of surface treatment using a decision-support system based on artificial neural networks. Arch Civ Mech Eng 18(4):1079–1091. https://doi.org/10.1016/j.acme.2018.02.010

    Article  Google Scholar 

  34. Shahid L, Janabi-Sharifi F (2019) A neural network-based method for coverage measurement of shot-peened panels. Neural Comput Appl 31(9):4829–4836. https://doi.org/10.1007/s00521-017-3339-3

    Article  Google Scholar 

  35. Karataş C, Sozen A, Dulek E (2009) Modelling of residual stresses in the shot peened material C-1020 by artificial neural network. Expert Syst Appl 36(2):3514–3521. https://doi.org/10.1016/j.eswa.2008.02.012

    Article  Google Scholar 

  36. Sun LX, Li MQ, Li HM (2017) Prediction model for surface layer microhardness of processed TC17 via high energy shot peening. T Nonferr Metal Soc 27(9):1956–1963. https://doi.org/10.1016/S1003-6326(17)60220-6

    Article  Google Scholar 

  37. Daoud M, Kubler R, Bemou A, Osmond P, Polette A (2021) Prediction of residual stress fields after shot-peening of TRIP780 steel with second-order and artificial neural network models based on multi-impact finite element simulations. J Manuf Process 72:529–543. https://doi.org/10.1016/j.jmapro.2021.10.034

    Article  Google Scholar 

  38. Maleki E, Unal O (2021) Shot peening process effects on metallurgical and mechanical properties of 316 L steel via: experimental and neural network modeling. Met Mater Int 27(2):262–276. https://doi.org/10.1007/s12540-019-00448-3

    Article  Google Scholar 

  39. Maleki E, Unal O, Kashyzadeh KR (2019) Surface layer nanocrystallization of carbon steels subjected to severe shot peening: analysis and optimization. Mater Charact 157:109877. https://doi.org/10.1016/j.matchar.2019.109877

    Article  Google Scholar 

  40. Leung FHF, Lam HK, Ling SH, Tam PKS (2003) Tuning of the structure and parameters of a neural network using an improved genetic algorithm. IEEE Trans Neural Netw Learn Syst 14(1):79–88. https://doi.org/10.1109/TNN.2002.804317

    Article  Google Scholar 

  41. Socha K, Blum C (2007) An ant colony optimization algorithm for continuous optimization: application to feed-forward neural network training. Neural Comput Appl 16(3):235–247. https://doi.org/10.1007/s00521-007-0084-z

    Article  Google Scholar 

  42. Zhang YD, Wang SH, Ji GL (2015) A comprehensive survey on particle swarm optimization algorithm and its applications. Math Probl Eng 2015:931256. https://doi.org/10.1155/2015/931256

    Article  MathSciNet  MATH  Google Scholar 

  43. Wang T, Wang JB, Zhang XJ, Liu C (2021) A study on prediction of process parameters of shot peen forming using artificial neural network optimized by genetic algorithm. Arab J Sci Eng 46(8):7349–7361. https://doi.org/10.1007/s13369-021-05385-1

    Article  Google Scholar 

  44. Li SB, Liang W, Yan HZ, Wang YH, Gu C (2022) Prediction of fatigue crack propagation behavior of AA2524 after laser shot peening. Eng Fract Mech 268:108477. https://doi.org/10.1016/j.engfracmech.2022.108477

    Article  Google Scholar 

  45. Wang C, Wang L, Wang XG, Xu YJ (2018) Numerical study of grain refinement induced by severe shot peening. Int J Mech Sci 146:280–294. https://doi.org/10.1016/j.ijmecsci.2018.08.005

    Article  Google Scholar 

  46. Estrina Y, Tóthb LS, Molinarib A, Bréchetc Y (1998) A dislocation-based model for all hardening stages in large strain deformation. Acta Mater 46(15):5509–5522. https://doi.org/10.1016/S1359-6454(98)00196-7

    Article  Google Scholar 

  47. Estrin Y (1998) Dislocation theory based constitutive modelling: foundations and applications. J Mater Process Technol 80:33–39. https://doi.org/10.1016/S0924-0136(98)00208-8

    Article  Google Scholar 

  48. Lemiale V, Estrin Y, Kim HS, O’Donnell R (2010) Grain refinement under high strain rate impact: a numerical approach. Comput Mater Sci 48(1):124–132. https://doi.org/10.1016/j.commatsci.2009.12.018

    Article  Google Scholar 

  49. Hassani-Gangaraj SM, Cho KS, Voigt HJL, Guagliano M, Schuh CA (2015) Experimental assessment and simulation of surface nanocrystallization by severe shot peening. Acta Mater 97:105–115. https://doi.org/10.1016/j.actamat.2015.06.054

    Article  Google Scholar 

  50. Lee DJ, Yoon EY, Ahn DH, Park BH, Park HW, Park LJ, Estrin Y, Kim HS (2014) Dislocation density-based finite element analysis of large strain deformation behavior of copper under high-pressure torsion. Acta Mater 76:281–293. https://doi.org/10.1016/j.actamat.2014.05.027

    Article  Google Scholar 

  51. Johnson GR, Cook WH (1983) A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. Proc 7th Inf Sympo Ballistics 541–547.

  52. Wang XL, Wang Z, Wu G, Gan J, Yang Y, Huang HM, He JX, Zhong HL (2019) Combining the finite element method and response surface methodology for optimization of shot peening parameters. Int J Fatigue 129:105231. https://doi.org/10.1016/j.ijfatigue.2019.105231

    Article  Google Scholar 

  53. Klemenz M, Schulze V, Rohr I, Löhe D (2009) Application of the FEM for the prediction of the surface layer characteristics after shot peening. J Mater Process Technol 209(8):4093–4102. https://doi.org/10.1016/j.jmatprotec.2008.10.001

    Article  Google Scholar 

  54. Wang C, Hu JC, Gu ZB, Xu YJ, Wang XG (2017) Simulation on residual stress of shot peening based on a symmetrical cell model. Chin J Mech Eng 30(2):344–351. https://doi.org/10.1007/s10033-017-0084-6

    Article  Google Scholar 

  55. Kim T, Lee JH, Lee H, Cheong S (2010) An area-average approach to peening residual stress under multi-impacts using a three-dimensional symmetry-cell finite element model with plastic shots. Mater Des 31(1):50–59. https://doi.org/10.1016/j.matdes.2009.07.032

    Article  Google Scholar 

  56. Gajic D, Savic-Gajic I, Savic I, Georgieva O, Gennaro SD (2016) Modelling of electrical energy consumption in an electric arc furnace using artificial neural networks. Energy 108:132–139. https://doi.org/10.1016/j.energy.2015.07.068

    Article  Google Scholar 

  57. Liang YJ, Ren C, Wang HY, Huang YB, Zheng ZT (2019) Research on soil moisture inversion method based on ga-bp neural network model. Int J Remote Sens 40(5–6):2087–2103. https://doi.org/10.1080/01431161.2018.1484961

    Article  Google Scholar 

  58. Li HH, Lu YD, Zheng C, Yang M, Li SL (2019) Groundwater level prediction for the arid oasis of Northwest China based on the artificial bee colony algorithm and a back-propagation neural network with double hidden layers. Water 11(4):860. https://doi.org/10.3390/w11040860

    Article  Google Scholar 

  59. Zhu ZH, Ye ZF, Tang Y (2021) Nondestructive identification for gender of chicken eggs based on GA-BPNN with double hidden layers. J Appl Poultry Res 30(4):100203. https://doi.org/10.1016/j.japr.2021.100203

    Article  Google Scholar 

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Funding

The authors are grateful for the supports provided by the National Natural Science Foundation of China (52175195), Anhui Provincial Natural Science Foundation (2008085QE228), the Open Fund of Collaborative Innovation Center of High-end Laser Manufacturing Equipment Co-sponsored by Ministry and Province (JGKF-202202), and the Scientific Research Foundation for High-level Talents of Anhui University of Science and Technology (13210024).

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Haiquan Huang: methodology, formal analysis, data curation, writing—original draft; Senhui Wang: formal analysis, methodology, writing—review and editing; Cheng Wang: conceptualization, formal analysis, methodology, numerical simulation, writing—original draft, writing—review and editing; Kun Li and Yijun Zhou: conceptualization, methodology; Xiaogui Wang: conceptualization, supervision, writing—review and editing.

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Correspondence to Senhui Wang, Cheng Wang or Xiaogui Wang.

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Huang, H., Wang, S., Wang, C. et al. Prediction of residual stress, surface roughness, and grain refinement of 42CrMo steel subjected to shot peening by combining finite element method and artificial neural network. Int J Adv Manuf Technol 127, 3441–3461 (2023). https://doi.org/10.1007/s00170-023-11716-3

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