Abstract
Liquid nitrogen(LN2) cryogenic machining is a green, sustainable, and high-performance machining technology. LN2 cryogenic machining of TC4 can significantly strengthen the local cooling environment of cutting, accelerate the heat dissipation, thus effectively reduce the cutting temperature, and suppress the generation of thermal stress, reduce the residual tensile stress on the workpiece surface. In this paper, a finite element model(FEM) of numerical prediction is established to analyze the effect of LN2 cryogenic machining on residual stress distribution. Firstly, mechanism analysis of surface residual stress is carried out to explore the source of residual stress during TC4 cryogenic turning. Next, to observe residual stress distribution clearly, the cutting zone separation model is designed, and then, the material model is built to reflect the change of material properties. Then, a FEM of the numerical prediction made up of explicit dynamic solution module and standard static solution module is established to simulate residual stress distribution; after that, residual stress can be ultimately acquired by linear superposing the above two module simulation results. Based on FEM proposed in this paper, the effect of LN2 cryogenic machining on surface residual stress distribution of TC4 is analyzed, and it is indicated that LN2 cryogenic machining can reduce the residual tensile stress effectively. Finally, the experiment is carried out, and the results show that the general trend of the prediction model is the same as that of the experimental results, which greatly verify the availability of the prediction model. Research provides some reference for the numerical prediction and suppression of residual stress in the future.
Similar content being viewed by others
Data availability
The datasets used or analyzed during the current study are available from the corresponding author on reasonable request.
Abbreviations
- F :
-
Friction force
- τ :
-
Effective shear strength
- A t :
-
Actual contact area
- n,k :
-
Constants about friction force
- μ :
-
Friction coefficient
- N :
-
Normal load
- p y :
-
Yield stress of the contact material
- σ mech, σ therm, σ total :
-
Mechanical, thermal, and total stress
- p(s):
-
Load stress distribution along the feed direction
- q(s):
-
Load stress distribution in the vertical feed direction
- q h :
-
Heat intensity of the heat loss
- \( \overline{h} \) :
-
Average convective heat transfer coefficient
- T f, T w :
-
Average tool temperature and ambient temperature
- Nu :
-
Nusselt number
- Le :
-
Effective cooling strength
- k air :
-
Air heat transfer coefficient
- \( {\overline{h}}_e \) :
-
Actual heat transfer coefficient
- λ :
-
Cryogenic friction correction coefficient
- E :
-
Elastic modulus
- ν :
-
Poisson’s ratio
- α :
-
Thermal diffusion coefficient
- h :
-
Thermal conductivity
- ρ :
-
Density
- C s :
-
Specific heat
- G xh,G xv,G zh,G zv,G xzh,G xzv :
-
Plane strain Green function
- \( \overline{\sigma},\overline{\varepsilon} \) :
-
Equivalent stress and plastic strain
- T :
-
Cutting heat
- T m, T r :
-
The melting point of the material and the room temperature
- A, B, C, m, n :
-
Material constants in Johnson-Cook model
- \( \Delta \frac{\cdotp }{\varepsilon^p} \) :
-
Equivalent plastic strain increment
- \( \overline{\varepsilon_f^p} \) :
-
Equivalent plastic strain
- d 1, d 2, d 3, d 4, d 5 :
-
Failure constant
References
Luo J, Sun Y (2020) Optimization of process parameters for the minimization of surface residual stress in turning pure iron material using central composite design. Measurement 163:108001. https://doi.org/10.1016/j.measurement.2020.108001
Huang K, Yang W, Chen Q (2015) Analytical model of stress field in workpiece machined surface layer in orthogonal cutting. Int J Mech Sci 103:127–140. https://doi.org/10.1016/j.ijmecsci.2015.08.020
Yue C, Gao H, Liu X, Liang SY (2018) Part functionality alterations induced by changes of surface integrity in metal milling process: a review. Appl Sci Basel 8(12). https://doi.org/10.3390/app8122550
Meng LH, Atli M, Khan AM, Su YS, Fang CG, Zhang H, He N (2019) Prediction of residual stresses generated by machining Ti6Al4V alloy based on the combination of the ALE approach and indentation model. J Braz Soc Mech Sci Eng 41(11). https://doi.org/10.1007/s40430-019-1914-5
Shen Q, Liu ZQ, Hua Y, Zhao JF, Lv WY, Mohsan AUH (2018) Effects of cutting edge microgeometry on residual stress in orthogonal cutting of Inconel 718 by FEM. Materials 11(6). https://doi.org/10.3390/ma11061015
Woelfle CH, Wimmer M, Shahul Hameed MZ, Krempaszky C, Zaeh M, Werner E (2020) Towards real-time prediction of residual stresses induced by peripheral milling of Ti-6Al-4 V. Contin Mech Thermodyn. https://doi.org/10.1007/s00161-020-00938-5
Yue CX, Hao XL, Ji X, Liu XL, Liang SY, Wang LH, Yan FG (2020) Analytical prediction of residual stress in the machined surface during milling. Metals 10(4). https://doi.org/10.3390/met10040498
Su J-C, Young KA, Ma K, Srivatsa S, Morehouse JB, Liang SY (2013) Modeling of residual stresses in milling. Int J Adv Manuf Technol 65(5-8):717–733. https://doi.org/10.1007/s00170-012-4211-3
Jiann-Cherng S, Young K, Srivatsa S, Morehouse J, Liang S (2013) Predictive modeling of machining residual stresses considering tool edge effects. Prod Eng Res Devel 7(4):391–400. https://doi.org/10.1007/s11740-013-0470-6
Palmer WB, Yeo RCK (1963) Metal flow near the tool point during orthogonal cutting with a blunt tool. Proceedings of the 4th International Machine Tool Design and Research Conference, pp 61–71
Guo YB, Wen Q (2005) A hybrid modeling approach to investigate chip morphology transition with the stagnation effect by cutting edge geometry. Paper presented at the Transactions of the North American Manufacturing Research Institution of SME(Society of Manufacturing Engineers) vol. 33, 2005
Vivek B, Ineon L, Hyung P (2015) MSEC2015-9315 FE simulation of cryogenic assisted machining of TI alloy (TI6AI4V), pp 1. https://doi.org/10.1115/MSEC20159315
Rotella G, Umbrello D (2014) Finite element modeling of microstructural changes in dry and cryogenic cutting of Ti6Al4V alloy. CIRP Ann Manuf Technol 63(1):69–72. https://doi.org/10.1016/j.cirp.2014.03.074
Wang Y, Liu J, Liu K, Liu Z, Wang S, Dai M (2020) Modeling of temperature distribution in turning of Ti-6Al-4 V with liquid nitrogen cooling. Int J Adv Manuf Technol 107(1-2):451–462. https://doi.org/10.1007/s00170-020-05093-4
Ji X, Zhang X, Liang SY (2016) Predicting the effects of cutting fluid on machining force, temperature and residual stress using analytical method. Int J Comput Appl Technol 53(2):135
Bowden FP, Tabor D (1954) Friction and lubrication of solids. Oxford University Press, London
Fergani O, Lazoglu I, Mkaddem A, El Mansori M, Liang SY (2014) Analytical modeling of residual stress and the induced deflection of a milled thin plate. Int J Adv Manuf Technol 75(1-4):455–463. https://doi.org/10.1007/s00170-014-6146-3
Mirkoohi E, Bocchini P, Liang SY (2019) Inverse analysis of residual stress in orthogonal cutting. J Manuf Process 38:462–471. https://doi.org/10.1016/j.jmapro.2019.01.033
Guo YB, Anurag S, Jawahir IS (2009) A novel hybrid predictive model and validation of unique hook-shaped residual stress profiles in hard turning. CIRP Ann Manuf Technol 58(1):81–84. https://doi.org/10.1016/j.cirp.2009.03.110
Zhang WJ, Reddy BV, Deevi SC (2001) Physical properties of TiAl-base alloys. Scr Mater 45(6):645–651. https://doi.org/10.1016/s1359-6462(01)01075-2
Leseur D (1999) Experimental investigations of material models for Ti-6A1-4V and 2024-T3. https://doi.org/10.2172/11977
Johnson GR, Cook WH (1983) A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. Eng Fract Mech 21:541–548
Mabrouki T, Girardin F, Asad M, Rigal J-F (2008) Numerical and experimental study of dry cutting for an aeronautic aluminium alloy (A2024-T351). Int J Mach Tool Manu 48(11):1187–1197. https://doi.org/10.1016/j.ijmachtools.2008.03.013
Zhang CY, Wang LX, Meng WZ, Zu XL, Zhang ZJ (2020) A novel analytical modeling for prediction of residual stress induced by thermal-mechanical load during orthogonal machining. Int J Adv Manuf Technol 109(1-2):475–489. https://doi.org/10.1007/s00170-020-05594-2
Pan ZP, Liang SY, Garmestani H, Shih D, Hoar E (2019) Residual stress prediction based on MTS model during machining of Ti-6Al-4 V. Proc Inst Mech Eng C J Mech Eng Sci 233(11):3743–3750. https://doi.org/10.1177/0954406218805122
Hribersek M, Pusavec F, Rech J, Kopac J (2018) Modeling of machined surface characteristics in cryogenic orthogonal turning of inconel 718. Mach Sci Technol 22(5):829–850. https://doi.org/10.1080/10910344.2017.1415935
Gong L, Zhao W, Ren F, He N, Li L, Xu Q, Khan AM (2019) Experimental study on surface integrity in cryogenic milling of 35CrMnSiA high-strength steel. Int J Adv Manuf Technol 103(1-4):605–615. https://doi.org/10.1007/s00170-019-03577-6
Jebaraj M, Kumar MP, Yuvaraj N, Anburaj R (2020) Investigation of surface integrity in end milling of 55NiCrMoV7 die steel under the cryogenic environments. Mach Sci Technol 24(3):465–488. https://doi.org/10.1080/10910344.2019.1698612
Sastry CC, Hariharan P, Kumar MP (2019) Experimental investigation of dry, wet and cryogenic boring of AA 7075 alloy. Mater Manuf Process 34(7):814–831. https://doi.org/10.1080/10426914.2019.1605174
Wang SQ, Li JG, He CL, Laghari RA (2019) An analytical model of residual stress in orthogonal cutting based on the radial return method. J Mater Process Technol. https://doi.org/10.1016/j.jmatprotec.2019.05.015
Grissa R, Zemzemi F, Fathallah R (2018) Efficient constitutive material model for predicting residual stresses induced by orthogonal cutting. J Mech Sci Technol 32(6):2765–2771. https://doi.org/10.1007/s12206-018-0533-x
Akram S, Jaffery SHI, Khan M, Fahad M, Mubashar A, Ali L (2018) Numerical and experimental investigation of Johnson-Cook material models for aluminum (Al 606 I-T6) alloy using orthogonal machining approach. Adv Mech Eng 10(9):168781401879779. https://doi.org/10.1177/1687814018797794
Funding
This work is supported by the National Natural Science Foundation of China (No. U20B2033), the National Key Research and Development Project (No. 2019YFB2005400), the Natural Science Foundation of Liaoning (No. 2020-YQ-09), and the Changjiang Scholar Program of Chinese Ministry of Education (No. T2017030).
Author information
Authors and Affiliations
Contributions
Haibo Liu and Kuo Liu: mechanism analysis of residual stress. Yongqing Wang, Chengxin Wang, and Shaowei Jiang: residual stress prediction using FEM for cryogenic turning. Zhaohuan Liu: experiment.
Corresponding author
Ethics declarations
Ethics approval and consent to participate
Not applicable.
Consent for publication
Not applicable.
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Liu, H., Wang, C., Liu, Z. et al. Numerical prediction of machining-induced surface residual stress for TC4 cryogenic turning. Int J Adv Manuf Technol 114, 131–144 (2021). https://doi.org/10.1007/s00170-021-06805-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-021-06805-0