Abstract
In order to realize the compressive stress and antifatigue manufacturing of titanium alloy TI-6Al-4V, a compound processing of longitudinal-torsional ultrasonic vibration and milling (LTUM) is proposed, a theoretical prediction model of machining-induced residual stress (RS) is established, and it is validated by experiments. The trajectory model of cutting edge in LTUM is constructed; furthermore, the undeformed chip thickness (UCT) model of LTUM is structured; The mechanical stress model of LTUM is established from the shear stress and plow stress; the thermal stress model of LTUM is established from shear thermal stress and plow thermal stress; Considering mechanical and thermal stress, the residual stress of longitudinal-torsional ultrasonic milling is established by loading and releasing stress. From numerical simulation of mechanical stress and thermal stress model, it shows that in LTUM, stress fluctuates with ultrasonic vibration, and mechanical stress absolute value is larger than that of traditional machining (TM); thermal stress absolute value is less than that of TM. A series of experiments are carried out to verify the RS model of LTUM. From present work, through theoretical prediction and experimental verification of machining-induced residual stress, it is concluded that established theoretical model predicts properties, and distribution of residual stress with high accuracy and the LTUM significantly increases surface compressive stress and compressive stress layer depth. It lays a foundation for the compressive stress and fatigue resistance of titanium alloys.
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Abbreviations
- vƒ :
-
Feed speed
- ϕs :
-
Shear angel
- ƒ:
-
Ultrasonic frequency
- h jlt :
-
UCT of LTUM
- Rt :
-
Tool radius
- q w-pl :
-
Heat source density
- Al :
-
Longitudinal amplitude
- λt:
-
Heat conductivity
- At :
-
Torsional amplitude
- a t :
-
Heat loss density
- n:
-
Spindle speed
- τsfr :
-
Friction stress
- ν:
-
Cutting speed
- mƒ :
-
Friction coefficient
- β :
-
Tool helix angle
- Kt, Kr:
-
Cutting force coefficient
- αl :
-
Tool lead angle
- σxxme, σyyme, σxymeб :
-
Mechanical stress
- ω n-t :
-
Tool actual turning angle
- σxxs, σyys, σxys :
-
Shear stress
- ω l-t :
-
Torsional vibration angle
- σxxp, σyyp, σxyp :
-
Plow stress
- φl-t :
-
Longitudinal-torsional phase difference
- σxxth, σyyth, σxyth :
-
Thermal stress
- αp :
-
Depth of cut
- σxxel, σyyel, σxyel :
-
Internal stress
- ψl :
-
Axial hysteresis angle
- RS:
-
Residual stress
- ϕst, ϕex :
-
Cutting-in and cutting-out angle
- LTUM:
-
Longitudinal torsional ultrasonic vibration milling
- re :
-
Cutting edge radius
- UCT:
-
Undeformed chip thickness
- αtl rake-ACT:
-
Actual cutting time
- qs, ps :
-
Shear and normal stress
References
Su Y, Li L, Wang G, Zhong X (2018) Cutting mechanism and performance of high-speed machining of a titanium alloy using a super-hard textured tool. J Manuf Process 34:706–712. https://doi.org/10.1016/j.jmapro.2018.07.004
Kuttolamadom M, Jones J, Mears L, Von Oehsen J, Kurfess T, Ziegert J (2017) High performance computing simulations to identify process parameter designs for profitable titanium machining. J Manuf Syst 43:235–247. https://doi.org/10.1016/j.jmsy.2017.02.014
Mosleh AO, Mikhaylovskaya AV, Kotov AD, Kwame JS (2019) Experimental, modelling and simulation of an approach for optimizing the superplastic forming of Ti-6%Al-4%V titanium alloy. J Manuf Process 45:262–272. https://doi.org/10.1016/j.jmapro.2019.06.033
Luo M, Wang J, Wu B, Zhang D (2017) Effects of cutting parameters on tool insert wear in end milling of titanium alloy Ti6Al4V. Chin J Mech Eng 30:53–59. https://doi.org/10.3901/CJME.2016.0405.045
Yang D, Xiao X, Liu Y, Sun J (2019) Peripheral milling-induced residual stress and its effect on tensile-tensile fatigue life of aeronautic titanium alloy Ti-6Al-4V. Aeronaut J 123:212–229. https://doi.org/10.1017/aer.2018.151
Xin H, Shi Y, Ning L, Zhao T (2016) Residual stress and affected layer in disc milling of titanium alloy. Mater Manuf Process 31:1645–1653. https://doi.org/10.1080/10426914.2015.1090583
Niu Y, Jiao F, Zhao B, Wang X (2019) 3D finite element simulation and experimentation of residual stress in longitudinal torsional ultrasonic assisted milling. Jixie Gongcheng Xuebao/J Mech Eng 55:224–232. https://doi.org/10.3901/JME.2019.13.224
Zeng HH, Yan R, Peng FY, Zhou L, Deng B (2017) An investigation of residual stresses in micro-end-milling considering sequential cuts effect. Int J Adv Manuf Technol 91:3619–3634. https://doi.org/10.1007/s00170-017-0088-5
Peng FY, Dong Q, Yan R, Zhou L, Zhan C (2016) Analytical modeling and experimental validation of residual stress in micro-end-milling. Int J Adv Manuf Technol 87:3411–3424. https://doi.org/10.1007/s00170-016-8697-y
Zhou R, Yang W (2017) Analytical modeling of residual stress in helical end milling of nickel-aluminum bronze. Int J Adv Manuf Technol 89:987–996. https://doi.org/10.1007/s00170-016-9145-8
Wan M, Ye X, Yang Y, Zhang W (2017) Theoretical prediction of machining-induced residual stresses in three-dimensional oblique milling processes. Int J Mech Sci 133:426–437. https://doi.org/10.1016/j.ijmecsci.2017.09.005
Ji X, Liang SY (2017) Model-based sensitivity analysis of machining-induced residual stress under minimum quantity lubrication. Proc Inst Mech Eng B J Eng Manuf 231:1528–1541. https://doi.org/10.1177/0954405415601802
Aliakbari K, Farhangdoost K (2014) The investigation of modeling material behavior in autofrettaged tubes made from aluminium alloys. Int J Eng Trans B Appl 27:803–810. https://doi.org/10.5829/idosi.ije.2014.27.05b.17
Huang X, Zhang X, Ding H (2017) An enhanced analytical model of residual stress for peripheral milling. Procedia Cirp 58:387–392. https://doi.org/10.1016/j.procir.2017.03.245
Li X, Li W, Wang C, Yang S, Shi H (2018) Surface integrity and anti-fatigue performance of TC4 titanium alloy by mass finishing. Zhongguo Biaomian Gongcheng/China Surf Eng 31:15–25. https://doi.org/10.11933/j.issn.1007-9289.20170725001
Li X, Zhao P, Niu Y, Guan C (2017) Influence of finish milling parameters on machined surface integrity and fatigue behavior of Ti1023 workpiece. Int J Adv Manuf Technol 91:1297–1307. https://doi.org/10.1007/s00170-016-9818-3
Pawar S, Joshi SS (2016) Experimental analysis of axial and torsional vibrations assisted tapping of titanium alloy. J Manuf Process 22:7–20. https://doi.org/10.1016/j.jmapro.2016.01.006
Niu Y, Jiao F, Zhao B, Gao G (2019) Investigation of cutting force in longitudinal- torsional ultrasonic-assisted milling of Ti-6Al-4V. Materials 12. https://doi.org/10.3390/ma12121955
Niu Y, Jiao F, Zhao B, Wang D (2017) Multiobjective optimization of processing parameters in longitudinal-torsion ultrasonic assisted milling of Ti-6Al-4V. Int J Adv Manuf Technol 93:4345–4356. https://doi.org/10.1007/s00170-017-0871-3
Travieso-Rodriguez JA, Gomez-Gras G, Dessein G, Carrillo F, Alexis J, Jorba-Peiro J, Aubazac N (2015) Effects of a ball-burnishing process assisted by vibrations in G10380 steel specimens. Int J Adv Manuf Technol 81:1757–1765. https://doi.org/10.1007/s00170-015-7255-3
Sharma V, Pandey PM (2016) Optimization of machining and vibration parameters for residual stresses minimization in ultrasonic assisted turning of 4340 hardened steel. Ultrasonics 70:172–182. https://doi.org/10.1016/j.ultras.2016.05.001
Hu K, Lo S, Wu H, To S (2019) Study on influence of ultrasonic vibration on the ultra-precision turning of Ti6Al4V alloy based on simulation and experiment. IEEE Access 7:33640–33651. https://doi.org/10.1109/ACCESS.2019.2896731
Zhou K, Chen Y, Du ZW, Niu FL (2015) Surface integrity of titanium part by ultrasonic magnetic abrasive finishing. Int J Adv Manuf Technol 80:997–1005. https://doi.org/10.1007/s00170-015-7028-z
Maurotto A, Wickramarachchi CT (2016) Experimental investigations on effects of frequency in ultrasonically-assisted end-milling of AISI 316L: a feasibility study. Ultrasonics 65:113–120. https://doi.org/10.1016/j.ultras.2015.10.012
Ye Y, Kure-Chu S, Sun Z, Li X, Wang H, Tang G (2018) Nanocrystallization and enhanced surface mechanical properties of commercial pure titanium by electropulsing-assisted ultrasonic surface rolling. Mater Des 149:214–227. https://doi.org/10.1016/j.matdes.2018.04.027
Amin M, Yuan S, Israr A, Zhen L, Qi W (2018) Development of cutting force prediction model for vibration-assisted slot milling of carbon fiber reinforced polymers. Int J Adv Manuf Technol 94:3863–3874. https://doi.org/10.1007/s00170-017-1087-2
Lazoglu I, Ulutan D, Alaca BE, Engin S, Kaftanoglu B (2008) An enhanced analytical model for residual stress prediction in machining. CIRP Ann Manuf Technol 57:81–84. https://doi.org/10.1016/j.cirp.2008.03.060
Waldorf DJ, DeVor RE, Kapoor SG (1998) Slip-line field for ploughing during orthogonal cutting. J Manuf Sci Eng Trans ASME 120:693–698. https://doi.org/10.1115/1.2830208
Dewhurst P, Collins IF (1973) A matrix technique for constructing slip-line field solutions to a class of plane strain plasticity problems. Int J Numer Methods Eng 7:357–378. https://doi.org/10.1002/nme.1620070312
Su J, Young KA, Srivatsa S, Morehouse JB, Liang SY (2013) Predictive modeling of machining residual stresses considering tool edge effects. Prod Eng 7:391–400. https://doi.org/10.1007/s11740-013-0470-6
Ulutan D, Erdem Alaca B, Lazoglu I (2007) Analytical modelling of residual stresses in machining. J Mater Process Technol 183:77–87. https://doi.org/10.1016/j.jmatprotec.2006.09.032
Ying N, Feng J, Bo Z (2020) A novel 3D finite element simulation method for longitudinal-torsional ultrasonic-assisted milling. Int J Adv Manuf Technol 106:385–400. https://doi.org/10.1007/s00170-019-04636-8
Funding
The paper is sponsored by the China Postdoctoral Science Foundation (No. 2019M662493) and the National Natural Science Foundation of China (No. 51675164, No. U1604255, No.51875179).
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Ying, N., Feng, J., Bo, Z. et al. Theoretical investigation of machining-induced residual stresses in longitudinal torsional ultrasonic–assisted milling. Int J Adv Manuf Technol 108, 3689–3705 (2020). https://doi.org/10.1007/s00170-020-05495-4
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DOI: https://doi.org/10.1007/s00170-020-05495-4