Abstract
Because the deformation is very large and highly localized in the adiabatic shear bands (ASB) of the saw-tooth chip in high-speed machining (HSM), the physical results of the width and spacing of ASB in saw-tooth chip cannot be given by the traditional finite element method (FEM) due to the mesh dependency. Therefore, a 3D finite element model of HSM based on multiresolution continuum theory (MCT) with a simple algorithm of hourglass control was brought out to predict the saw-tooth chip. The comparison between the simulation results and experimental ones of chip deformation and cutting forces shows the validity of the established model. The formation of saw-tooth chip is analyzed, and the changes of chip morphology with cutting parameters were given. The results show that the MCT model has the ability to capture the width and spacing of shear band of saw-tooth chip in HSM by using a length scale to build the relationship between the macro materials behavior and the microstructure. It can also clearly show the formation of saw-tooth chip. An interesting thing is that during the forming of two adjacent shear bands, there is a transition shear band. The stress of MCT model is slightly larger than that of traditional FEM, but the strain is little smaller and the temperature is little lower. For the cutting force, the simulation results of MCT model are more consistent with experimental ones than that of traditional FEM. The simulation results of chip morphology under the condition of different cutting parameter are consistent with that of experiment.
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References
Belhadi S, Mabrouki T, Rigal JF, Boulanouar L (2005) Experimental and numerical study of chip formation during straight turning of hardened AISI 4340 steel. Proc Inst Mech Eng B J Eng Manuf 219:515–524
Sun S, Brandt M, Dargusch MS (2009) Characteristics of cutting forces and chip formation in machining of titanium alloys. Int J Mach Tools Manuf 49:561–568
Davies MA, Chou Y, Evans CJ (1996) On chip morphology, tool wear and cutting mechanics in finish hard turning. Annals of the CIRP 45:77–82
Molinari A, Musquar C, Sutter G (2002) Adiabatic shear banding in high speed machining of Ti-6AL-4V: experiments and modeling. Int J Plast 18:443–459
Shaw MC, Vyas A (1993) Chip formation in the machining of hardened steel. Annals of the CIRP 42:29–33
Barry J, Byrne G (2002) The mechanisms of chip formation in machining hardened steel. J Manuf Sci Eng Trans ASME 124:528–535
Guo YB, Yen DW (2004) A FEM study on mechanisms of discontinuous chip formation in hard machining. J Mater Process Technol 1350-1356:s155–s156
Uhlmann E, Schulenburg MGVD, Zettier R (2007) Finite element modeling and cutting simulation of Inconel 718. CIRP Annals-Manuf Technol 56:61–64
Umbrello D (2008) Finite element simulation of conventional and high speed machining of Ti6Al4V alloy. J Mater Process Technol 196:79–87
Calamaz M, Coupard D, Girot F (2008) A new material model for 2D numerical simulation of serrated chip formation when machining titanium alloy Ti-6Al-4V. Int J Mach Tools and Manuf 48:275–288
Chen T, Liu XL, Luo GT (2009) Numerical simulation and experimental study on hard turning of hardened steel using PCBN cutting tool. J Sys Sim 21:5586–5593
Sima M, Özel T (2010) Modified material constitutive models for serrated chip formation simulations and experimental validation in machining of titanium alloy Ti-6Al-4V. Int J Mach Tools Manuf 50:943–960
Chen G, Ren CZ, Yang XY, Jin XM, Guo T (2011) Finite element simulation of high-speed machining of titanium alloy (Ti-6Al-4V) based on ductile failure model. Int J Adv Manuf Technol 56:1027–1038
Wang B, Liu ZQ (2014) Investigations on the chip formation mechanism and shear localization sensitivity of high speed machining Ti6Al4V. Int J Adv Manuf Technol 75:1065–1076
Zhang L, Duan CZ (2013) A reliable method for predicting serrated chip formation in high-speed cutting: analysis and experimental verification. Int J Adv Manuf Technol 64:1587–1597
Tang DW, Wang CY, Hu YN (2011) Finite-element simulation of conventional and high-speed peripheral milling of hardened mold steel. Metall Mater Trans A 40:3245–3257
Issa M, Labergère C, Saanouni K, Rassineux A (2012) Numerical prediction of thermomechanical field localization in orthogonal cutting. CIRP J Manuf Sci Technol 5:175–195
Wan L, Wang D, Gao Y (2016) The investigation of mechanism of serrated chip formation under different cutting speeds. Int J Adv Manuf Technol 82(5–8):951–959
Li P, Qiu X, Tang S, Tang L (2016) Study on dynamic characteristics of serrated chip formation for orthogonal turning Ti6Al4V. Int J Adv Manuf Technol 86:3289–3296
Yaich M, Ayed Y, Bouaziz Z, Germain G (2016) Numerical analysis of constitutive coefficients effects on FE simulation of the 2D orthogonal cutting process: application to the Ti6Al4V. Int J Adv Manuf Technol 86:1–21
Vernerey F, Liu WK, Moran B (2007) Multi-scale micromorphic theory for hierarchical materials. J Mech Phy Solids 55:2603–2651
Vernerey F, Liu WK, Moran B, Olson G (2008) A micromorphic model for the multiple scale failure of heterogeneous materials. J Mech Phys Solids 56:1320–1347
McVeigh C, Liu WK (2008) Multiresolution modeling of ductile reinforced brittle composites. J Mech Phys Solids 57:244–267
McVeigh C, Liu WK (2010) Multiresolution continuum modeling of micro-void assisted dynamic adiabatic shear band propagation. J Mech Phys Solids 58:187–205
Liu WK (2006) Multiresolution analysis for material design. Comput Methods Appl Mech Eng 195:5053–5076
Tang S, Kopacz AM, Keeffe SCO, Olson G, Liu WK (2013) Three-dimensional ductile fracture analysis with a hybrid multiresolution approach and microtomography. J Mech Phys Solids 61:2108–2124
Li GH, Wang MJ (2010) Dynamic mechanical properties and constitutive relationship of hardened 45 steel (45HRC) under high temperature and high strain rate. Explos Shock Wav 30:433–438
Guo YB, Wen Q, Woodbury KA (2006) Dynamic material behavior modeling using internal state variable plasticity and its application in hard machining simulations. J Manuf Sci Eng 128:749–756
Yen YC, Jain A, Altan T (2004) A finite element analysis of orthogonal machining using different tool edge geometries. J Mater Process Technol 146:72–81
Rhim SH, Oh SI (2006) Prediction of serrated chip formation in metal cutting process with new flow stress model for AISI 1045 steel. J Mater Process Technol 171:417–422
Barge M, Hamdi H, Rech J (2005) Numerical modeling of orthogonal cutting: influence of numerical parameters. J Mater Process Technol s164–165:1148–1153
Bäker M (2006) Finite element simulation of high-speed cutting forces. J Mater Process Technol 176:117–126
Childs THC (2006) Friction modeling in metal cutting. Wear 260:310–318
Özel T (2006) The influence of friction models on finite element simulations of machining. Int J Mach Tools Manuf 46:518–530
Filice L, Micari F, Rizzuti S, Umbrello D (2007) A critical analysis on the friction modeling in orthogonal machining. Int J Mach Tools Manuf 47:709–714
Calamaz M, Coupard D, Nouari M, Girot F (2007) A finite element model of high speed machining of Ti6Al4V titanium alloy, in: Sixth International Conference on High Speed Machining (HSM), San Sebastian, Spain, 21–22 March (edited CD)
Acknowledgements
We are grateful for the work of Miguel Bessa on the MCT code.
Funding
This work is supported by the National Natural Science Foundation of China (Grant No. 51875409), CSC-funded Projects (Grant No. 201307760011), Innovation Team Training Plan of Tianjin Universities and Colleges (Grant No. TD13-5096), and Tianjin Major Special Project for Intelligent Manufacturing (Grant No. 17ZXZNGX00100). This work is also supported by National-Local Joint Engineering Laboratory of Intelligent Manufacturing Oriented Automobile Die and Mold.
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Li, G., Smith, J. & Liu, W.K. Finite element simulation of saw-tooth chip in high-speed machining based on multiresolution continuum theory. Int J Adv Manuf Technol 101, 1759–1772 (2019). https://doi.org/10.1007/s00170-018-3078-3
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DOI: https://doi.org/10.1007/s00170-018-3078-3