Research on TANH Material Constitutive Model Based on Analytical Method

doi:10.3901/JME.2020.09.252

Abstract

Abstract: The TANH material constitutive model accounts for strain softening effect based on the Johnson-Cook (J-C) material constitutive model, which can further reveal the essential properties of the material under the large deformation and high strain rate during the cutting process. In order to verify the accuracy of the method that optimizes the correction coefficient of the TANH material constitutive model, in view of the turning process of the typical difficult-to-machine material Ti6Al4V, based on the TANH material constitutive model, a model for predicting orthogonal cutting forces is established, which considers thermal coupling. The experimental results are in good agreement with the simulation result. In addition, the relationship between the correction coefficient of the TANH material constitutive model and the cutting force is revealed. The input of the force prediction model based on the THAN material constitutive model consist of only the cutting condition, tool geometry parameter and the material's physical parameters. A method for optimizing the selection interval of the correction coefficient of the TANH material constitutive model is proposed. The sensitivity of the cutting force to the correction coefficient in the TANH material constitutive model is analyzed. Then the correction coefficient is optimized and improves the simulation efficiency of cutting force under the premise of ensuring accuracy. The TANH material constitutive model whose correction coefficient is optimized clearly captures the dependence of the strain hardening rate on strain rate. The research results provide theoretical basis for the in-depth study and application of the TANH constitutive model.

Key words: TANH material constitutive model, thermal coupling, force prediction model, strain hardening rate, sensitivity analysis

CLC Number:

TG146

HAO Xiaole, YUE Caixu, CHEN Zhitao, LIU Xianli, LIANG S Y, WANG Lihui, YAN Fugang. Research on TANH Material Constitutive Model Based on Analytical Method[J]. Journal of Mechanical Engineering, 2020, 56(9): 252-264.

References

[1] DUCOBU F, RIVIÈRE-LORPHÈVRE E, FILIPPI E. Material constitutive model and chip separation criterion influence on the modeling of Ti6Al4V machining with experimental validation in strictly orthogonal cutting condition[J]. International Journal of Mechanical Sciences, 2016, 107:136-149.
[2] NEMAT-NASER S, GUO W G, NESTERENKO V F, et al. Dynamic response of conventional and hot isostatically presses Ti-6Al-4V alloys:Experiments and modeling[J]. Mechanics of Materials, 2001, 33(8):425-439.
[3] KOMANDURI R, TURKOVICH B F. New observations on the mechanism of chip formation when machining titanium alloys[J]. Wear, 1981, 69:179-188.
[4] CALAMAZ M, COUPARD D, GIROT F. A new material model for 2D numerical simulation of serrated chip formation when machining titanium alloy Ti6Al4V[J]. International Journal of Machine Tools & Manufacture, 2008, 48(3-4):275-288
[5] CHEN G, REN C, YANG X, et al. Evidence of thermoplastic instability about segmented chip formation process for a Ti-6Al-4V alloy based on the finite-element method[J]. Proceedings of the Institution of Mechanical Engineers, 2011, 225(6):1407-1417.
[6] JOHNSON G R, COOK W H. A constitutive model and data for materials subjected to large strains, high strain rates, and high temperatures[J]. Proc. 7th Inf. Sympo. Ballistics, 1983:541-547.
[7] ZERILLI F J, ARMSTRONG R W. Dislocation-mechanics-based constitutive relations for material dynamics calculations[J]. Journal of Applied Physics, 1987, 61(5):1816-1825.
[8] FOLLANSBEE P S, KOCKS U F. A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable[J]. Acta Metallurgica, 1988, 36(1):81-93.
[9] BAMMANN D J, CHIESA M L, JOHNSON G C. Modeling large deformation and failure in manufacturing processes[J]. Theoretical and Applied Mechanics, 1996:359-376.
[10] KHAN A S, SUNG SUH Y, et al. Quasi-static and dynamic loading responses and constitutive modeling of titanium alloys[J]. International Journal of Plasticity, 2004, 20(12):2233-2248.
[11] CALAMAZ M, COUPARD D, GIROT F. Numerical simulation of titanium alloy dry machining with a strain softening constitutive law[J]. Machining Science and Technology, 2010, 14(2):244-257.
[12] XU Y, ZHANG J, BAI Y, et al. Shear localization in dynamic deformation:Microstructural evolution[J]. Metallurgical and Materials Transactions A, 2008, 39(4):811-843.
[13] WRIGHT T W, WALTER J W. On stress collapse in adiabatic shear bands[J]. Journal of the Mechanics and Physics of Solids, 1987, 35(6):701-720.
[14] LIU R, MELKOTE S, PUCHA R, et al. An enhanced constitutive material model for machining of Ti-6Al-4V alloy[J]. Journal of Materials Processing Technology, 2013, 213(12):2238-2246.
[15] SIMA M, ÖZEL T. Modified material constitutive models for serrated chip formation simulations and experimental validation in machining of titanium alloy Ti-6Al-4V[J]. International Journal of Machine Tools and Manufacture, 2010, 50(11):943-960.
[16] KITAGAWA T, KUBO A, MAEKAWA K. Temperature and wear of cutting tools in high-speed machining of Inconel 718 and Ti-6Al-6V-2Sn[J]. Wear, 1997, 202(2):142-148.
[17] ZHANG X P, SHIVPURI R, SRIVASTAVA A K. Role of phase transformation in chip segmentation during high speed machining of dual phase titanium alloys[J]. Journal of Materials Processing Technology, 2014, 214(12):3048-3066.
[18] PAN Z, LIANG S Y, GARMESTANI H, et al. Prediction of machining-induced phase transformation and grain growth of Ti6Al4V alloy[J]. The International Journal of Advanced Manufacturing Technology, 2016, 87(1-4):859-866.
[19] LI L, HE N. A FEA study on mechanisms of saw-tooth chip deformation in high speed cutting of Ti-6-Al-4V alloy[J]. Proceedings of the Fifth International Conference on High Speed Machining (HSM), 2006:759-767.
[20] HUANG Y, LIANG S Y. Cutting temperature modeling based on non-uniform heat intensity and partition ratio[J]. Machining Science and Technology, 2005, 9(3):301-323.
[21] STEVENSON M G, OXLEY P L B. An experimental investigation of the influence of speed and scale on the strain-rate in a zone of intense plastic deformation[J]. Proceedings of the Institution of Mechanical Engineers, 1969, 184:561-576.
[22] OXLEY P L B, HASTINGS W F. Predicting the strain rate in the zone of intense shear in which the chip is formed in machining from the dynamic flow stress properties of the work material and the cutting conditions[J]. Proceedings of the royal society A-Mathematical Physical and Engineering Sciences, 1977, 356(1686):395-410.
[23] 季霞. 微量润滑切削表面残余应力预测建模[D]. 上海:上海交通大学, 2014 JI Xia. Predictive modeling of residual stress in minimum quantity lubrication[D]. Shanghai:Shanghai Jiao Tong University, 2014.
[24] WALDORF D J, DEVOR R E, KAPOOR S G. A slip-line field for ploughing during orthogonal cutting[J]. Journal of Manufacturing Science and Engineering, 1998, 120(4):693-698.
[25] BOOTHROYD G. Temperatures in orthogonal metal cutting[J]. Proceedings of the Institution of Mechanical Engineers, 1963, 177(1):789-810.
[26] COTTERELL M, BYRNE G. Dynamics of chip formation during orthogonal cutting of titanium alloy Ti6Al4V[J]. CIRP Annals, 2008, 57(1):93-96