Process analyses of friction drilling using the Smoothed Particle Galerkin method
Source abstract
Abstract
Abstract As a cost-effective hole production technique, friction drilling is widely used in industrial and automotive manufacturing. Compared with the traditional bolted connection, it enables the fastening of thin metal sheets and thin-walled tubular profiles. Friction drilling results in higher thread length and joint strength, thus better fulfilling the demand for lightweight structures. However, in the numerical simulation of friction drilling, the traditional finite element method encounters difficulties caused by the extreme deformation and complex failure of the material. A large number of elements are usually deleted due to the failure criterion, which significantly reduces the solution accuracy. The development of meshless methods over the past 20 years has alleviated this problem. Especially the Smoothed Particle Galerkin (SPG) method proposed in recent years and incorporating a bond-based failure mechanism has been shown to be advantageous in material separation simulations. It does not require element removal and can continuously evolve each particle's information such as strain and stress after the material failure. Therefore, the SPG method was used in this research for the simulation of frictional drilling of HX220 sheet metal. First the particle distance and the friction coefficient were varied to investigate the applicability of the SPG method to the friction drilling process. Predicted and experimental results were compared and found to be in high agreement. Furthermore, the influence of input parameters, such as sheet thickness, feed rate and rotational speed, on axial force as well as torque of the tool and the surface temperature of the workpiece during friction drilling was investigated numerically.
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Research context
OpenAlex topics: Numerical methods in engineering · Fluid Dynamics Simulations and Interactions · High-Velocity Impact and Material Behavior
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References (58)
Show source-provided references
1. Heiler R (2019) Flow drilling technology and thread forming - an economical and secure connection in hollow sections and thin-walled components. E3S Web Conf 97:06033. https://doi.org/10.1051/e3sconf/2019970603310.1051/e3sconf/20199706033 ↗
2. Hynes N, Kumar R (2017) Process optimization for maximizing bushing length in thermal drilling using integrated ANN-SA approach. J Braz Soc Mech Sci Eng 39(12):5097–510810.1007/s40430-017-0820-y ↗
3. Rajesh N, Hynes J, Kumar R, Sujana JAJ (2017) Optimum bushing length in thermal drilling of galvanized steel using artificial neural network coupled with genetic algorithm. Mater Tehnol 51(5):813–822. https://doi.org/10.17222/mit.2016.29010.17222/mit.2016.290 ↗
4. Narayana Moorthy N, Kanish TC (2020) Fuzzy logic-based model for predicting surface roughness of friction drilled holes. In: Soft computing for problem solving. Springer, pp 251–26010.1007/978-981-15-0035-0_19 ↗
5. Behrens B-A, Uhe J, Wester H, Stockburger E (2020) Hot forming limit curves for numerical press hardening simulation of AISI 420C, pp 350–355. https://doi.org/10.37904/metal.2020.366710.37904/metal.2020.3667 ↗
6. Behrens B-A, Rosenbusch D, Wester H, Stockburger E (2022) Material characterization and modeling for finite element simulation of press hardening with AISI 420C. J Mater Eng Perform 31(1):825–832. https://doi.org/10.1007/s11665-021-06216-y10.1007/s11665-021-06216-y ↗
7. Miller SF, Shih AJ (2007) Thermo-mechanical finite element modeling of the friction drilling process. J Manuf Sci Eng 129(3):531–538. https://doi.org/10.1115/1.271671910.1115/1.2716719 ↗
8. Krasauskas P, Kilikevičius S, Česnavičius R, Pačenga D (2015) Experimental analysis and numerical simulation of the stainless AISI 304 steel friction drilling process. Mechanics 20(6):590–595. https://doi.org/10.5755/j01.mech.20.6.866410.5755/j01.mech.20.6.8664 ↗
9. Pan X, Wu CT, Hu W, Wu Y (2019) A momentum-consistent stabilization algorithm for Lagrangian particle methods in the thermo-mechanical friction drilling analysis. Comput Mech 64(3):625–64410.1007/s00466-019-01673-8 ↗
10. Chen J-S, Pan C, Wu C-T, Liu WK (1996) Reproducing kernel particle methods for large deformation analysis of non-linear structures. Comput Methods Appl Mech Eng 139(1–4):195–22710.1016/S0045-7825(96)01083-3 ↗
11. Hillman M, Chen J-S, Chi S-W (2014) Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems. Comput Part Mech 1(3):245–25610.1007/s40571-014-0024-5 ↗
12. Rabczuk T, Belytschko T (2004) Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Int J Numer Meth Eng 61(13):2316–234310.1002/nme.1151 ↗
13. Gingold RA, Monaghan JJ (1977) Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon Not R Astron Soc 181(3):375–38910.1093/mnras/181.3.375 ↗
14. Lucy LB (1977) A numerical approach to the testing of the fission hypothesis. Astron J 82:1013–102410.1086/112164 ↗
15. Violeau D (2012) Fluid mechanics and the SPH method: theory and applications. Oxford University Press10.1093/acprof:oso/9780199655526.001.0001 ↗
16. Ba K, Gakwaya A (2018) Thermomechanical total Lagrangian SPH formulation for solid mechanics in large deformation problems. Comput Methods Appl Mech Eng 342:458–473. https://doi.org/10.1016/j.cma.2018.07.03810.1016/j.cma.2018.07.038 ↗
17. Belytschko T, Guo Y, Kam Liu W, Ping Xiao S (2000) A unified stability analysis of meshless particle methods. Int J Numer Methods Eng 48(9):1359–140010.1002/1097-0207(20000730)48:9<1359::AID-NME829>3.0.CO;2-U ↗
18. Belytschko T, Lu YY, Gu L (1994) Element-free Galerkin methods. Int J Numer Meth Eng 37(2):229–25610.1002/nme.1620370205 ↗
19. Liu WK, Jun S, Zhang YF (1995) Reproducing kernel particle methods. Int J Numer Meth Fluids 20(8–9):1081–110610.1002/fld.1650200824 ↗
20. Chen J-S, Wu C-T, Yoon S, You Y (2001) A stabilized conforming nodal integration for Galerkin mesh-free methods. Int J Numer Meth Eng 50(2):435–46610.1002/1097-0207(20010120)50:2<435::AID-NME32>3.0.CO;2-A ↗
21. Wu CT, Koishi M, Hu W (2015) A displacement smoothing induced strain gradient stabilization for the meshfree Galerkin nodal integration method. Comput Mech 56(1):19–3710.1007/s00466-015-1153-2 ↗
22. Wu C-T, Chi S-W, Koishi M, Wu Y (2016) Strain gradient stabilization with dual stress points for the meshfree nodal integration method in inelastic analyses. Int J Numer Meth Eng 107(1):3–3010.1002/nme.5147 ↗
23. Wu CT, Wu Y, Crawford JE, Magallanes JM (2017) Three-dimensional concrete impact and penetration simulations using the smoothed particle Galerkin method. Int J Impact Eng 106:1–1710.1016/j.ijimpeng.2017.03.005 ↗
24. Prakash M, Cleary P (2006) Modelling of cold metal extrusion using SPH, presented at the Fifth international conference on CFD in the process industries. Accessed: Jun. 01, 2022. [Online]. Available: https://publications.csiro.au/rpr/pub?list=BRO&pid=procite:fb627e86-ea66-4fce-96a4-9b3e8bfab5fa
25. Reddy BD (Ed) (2008) The potential for SPH modelling of solid deformation and fracture, vol 11. Springer Netherlands, Dordrecht. https://doi.org/10.1007/978-1-4020-9090-510.1007/978-1-4020-9090-5 ↗
26. Bonet J, Kulasegaram S (2000) Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations. Int J Numer Meth Engng 47(6):1189–1214. https://doi.org/10.1002/(SICI)1097-0207(20000228)47:6%3c1189::AID-NME830%3e3.0.CO;2-I10.1002/(SICI)1097-0207(20000228)47:6<1189::AID-NME830>3.0.CO;2-I ↗
27. Chen J-S, Pan C, Roque CMOL, Wang H-P (1998) A Lagrangian reproducing kernel particle method for metal forming analysis. Comput Mech 22(3):289–307. https://doi.org/10.1007/s00466005036110.1007/s004660050361 ↗
28. Xiong S, Li CS, Rodrigues JMC, Martins PAF (2005) Steady and non-steady state analysis of bulk forming processes by the reproducing kernel particle method. Finite Elem Anal Des 41(6):599–614. https://doi.org/10.1016/j.finel.2004.10.00310.1016/j.finel.2004.10.003 ↗
29. Li G, Sidibe K, Liu G (2004) Meshfree method for 3D bulk forming analysis with lower order integration scheme. Eng Anal Boundary Elem 28(10):1283–1292. https://doi.org/10.1016/j.enganabound.2003.11.00510.1016/j.enganabound.2003.11.005 ↗
30. Cui Q, Liu X, Wang G (2007) Splitting rolling simulated by reproducing kernel particle method. J Iron Steel Res Int 14(3):42–46. https://doi.org/10.1016/S1006-706X(07)60041-710.1016/S1006-706X(07)60041-7 ↗
31. Wang H, Li G, Han X, Zhong ZH (2007) Development of parallel 3D RKPM meshless bulk forming simulation system. Adv Eng Softw 38(2):87–101. https://doi.org/10.1016/j.advengsoft.2006.08.00210.1016/j.advengsoft.2006.08.002 ↗
32. Liu HS, Xing ZW, Yang YY (2010) Simulation of sheet metal forming process using reproducing kernel particle method. Int J Numer Meth Biomed Engng 26(11):1462–1476. https://doi.org/10.1002/cnm.122910.1002/cnm.1229 ↗
33. Li G, Belytschko T (2001) Element-free Galerkin method for contact problems in metal forming analysis. Eng Comput 18(1/2):62–78. https://doi.org/10.1108/0264440011036580610.1108/02644400110365806 ↗
34. Xiong S, Rodrigues JMC, Martins PAF (2004) Application of the element free Galerkin method to the simulation of plane strain rolling. Eur J Mech A Solids 23(1):77–93. https://doi.org/10.1016/j.euromechsol.2003.10.00210.1016/j.euromechsol.2003.10.002 ↗
35. Shangwu X, Rodrigues JMC, Martins PAF (2005) Simulation of plane strain rolling through a combined element free Galerkin–boundary element approach. J Mater Process Technol 159(2):214–223. https://doi.org/10.1016/j.jmatprotec.2004.05.00810.1016/j.jmatprotec.2004.05.008 ↗
36. Guan Y, Zhao G, Wu X, Lu P (2007) Massive metal forming process simulation based on rigid/visco-plastic element-free Galerkin method. J Mater Process Technol 187–188:412–416. https://doi.org/10.1016/j.jmatprotec.2006.11.07510.1016/j.jmatprotec.2006.11.075 ↗
37. Liu Y, Chen J, Yu S, Li C (2008) Numerical simulation of three-dimensional bulk forming processes by the element-free Galerkin method. Int J Adv Manuf Technol 36(5–6):442–450. https://doi.org/10.1007/s00170-006-0865-z10.1007/s00170-006-0865-z ↗
38. Lu P, Zhao G, Guan Y, Wu X (2008) Bulk metal forming process simulation based on rigid-plastic/viscoplastic element free Galerkin method. Mater Sci Eng, A 479(1–2):197–212. https://doi.org/10.1016/j.msea.2007.06.05910.1016/j.msea.2007.06.059 ↗
39. Liu L, Dong X, Li C (2009) Adaptive finite element-element-free Galerkin coupling method for bulk metal forming processes. J Zhejiang Univ Sci A 10(3):353–360. https://doi.org/10.1631/jzus.A082028610.1631/jzus.A0820286 ↗
40. Yuan B, Fang W, Li J, Cai Y, Qu Z, Wang Z (2016) A coupled finite element-element-free Galerkin method for simulating viscous pressure forming. Eng Anal Boundary Elem 68:86–102. https://doi.org/10.1016/j.enganabound.2016.04.00310.1016/j.enganabound.2016.04.003 ↗
41. Wang Z, Yuan B (2014) Numerical analysis of coupled finite element with element-free Galerkin in sheet flexible-die forming. Trans Nonferrous Met Soc China 24(2):462–469. https://doi.org/10.1016/S1003-6326(14)63083-110.1016/S1003-6326(14)63083-1 ↗
42. Alfaro I, Bel D, Cueto E, Doblaré M, Chinesta F (2006) Three-dimensional simulation of aluminium extrusion by the α-shape based natural element method. Comput Methods Appl Mech Eng 195(33–36):4269–4286. https://doi.org/10.1016/j.cma.2005.08.00610.1016/j.cma.2005.08.006 ↗
43. Filice L, Alfaro I, Gagliardi F, Cueto E, Micari F, Chinesta F (2009) A preliminary comparison between finite element and meshless simulations of extrusion. J Mater Process Technol 209(6):3039–3049. https://doi.org/10.1016/j.jmatprotec.2008.07.01310.1016/j.jmatprotec.2008.07.013 ↗
44. Lu P, Shu Y, Lu D, Jiang K, Liu B, Huang C (2017) Research on natural element method and the application to simulate metal forming processes. Procedia Eng 207:1087–1092. https://doi.org/10.1016/j.proeng.2017.10.113510.1016/j.proeng.2017.10.1135 ↗
45. Yoon S, Chen J-S (2002) Accelerated meshfree method for metal forming simulation. Finite Elem Anal Des 38(10):937–948. https://doi.org/10.1016/S0168-874X(02)00086-010.1016/S0168-874X(02)00086-0 ↗
46. Kwon K-C, Park S-H, Youn S-K (2005) The least-squares meshfree method for elasto-plasticity and its application to metal forming analysis. Int J Numer Meth Eng 64(6):751–788. https://doi.org/10.1002/nme.138410.1002/nme.1384 ↗
47. Hah Z-H, Youn S-K (2015) Eulerian analysis of bulk metal forming processes based on spline-based meshfree method. Finite Elem Anal Des 106:1–15. https://doi.org/10.1016/j.finel.2015.07.00410.1016/j.finel.2015.07.004 ↗
48. Wu CT, Bui TQ, Wu Y, Luo T-L, Wang M, Liao C-C, Chen P-Y, Lai Y-S (2018) Numerical and experimental validation of a particle Galerkin method for metal grinding simulation. Comput Mech 61(3):365–38310.1007/s00466-017-1456-6 ↗
49. Huang L, Wu Y, Huff G, Huang S, Ilinich A, Freis AK, Luckey G (2018) Simulation of self-piercing rivet insertion using smoothed particle Galerkin method
50. Wu Y, Wu CT (2018) Simulation of impact penetration and perforation of metal targets using the smoothed particle Galerkin method. J Eng Mech 144(8):0401805710.1061/(ASCE)EM.1943-7889.0001470 ↗
51. Wu Y, Wu CT, Hu W (2017) Modeling of ductile failure in destructive manufacturing processes using the smoothed particle galerkin method. In: Proceedings of the China LS-DYNA Users Conference, Shanghai, China, pp 23–25
52. Pan X, Wu CT, Hu W, Wu Y (2019) A momentum-consistent stabilization algorithm for Lagrangian particle methods in the thermo-mechanical friction drilling analysis. Comput Mech 64(3):625–644. https://doi.org/10.1007/s00466-019-01673-810.1007/s00466-019-01673-8 ↗
53. Wu CT, Wu Y, Lyu D, Pan X, Hu W (2020) The momentum-consistent smoothed particle Galerkin (MC-SPG) method for simulating the extreme thread forming in the flow drill screw-driving process. Comp Part Mech 7(2):177–191. https://doi.org/10.1007/s40571-019-00235-210.1007/s40571-019-00235-2 ↗
54. Johnson GR, Cook WH (1985) Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng Fract Mech 21(1):31–4810.1016/0013-7944(85)90052-9 ↗
55. Behrens B-A, Dröder K, Hürkamp A, Droß M, Wester H, Stockburger E (2021) Finite element and finite volume modelling of friction drilling HSLA steel under experimental comparison. Materials 14(20):5997. https://doi.org/10.3390/ma1420599710.3390/ma14205997 ↗
56. Eliseev A, Kolubaev E (2021) Friction drilling: a review. Int J Adv Manuf Technol 116(5–6):1391–1409. https://doi.org/10.1007/s00170-021-07544-y10.1007/s00170-021-07544-y ↗
57. Abaqus Documentation (2017) Version 2017, Dassault Systémes Simulia Corp., Providence, RI
58. Gies C (2006) Evaluation der Prozesseinflussgrößen beim Fließlochformen mittels DoE. kassel university press GmbH