Abstract
In this paper, finite element (FE) simulation for high-speed milling of aluminum alloy was performed using a ductile fracture model with Mohr–Coulomb criterion proposed by Bai and Wierzbicki (BW). To verify the model, predicted cutting forces were compared to experimental results in the same cutting conditions. Then, further simulations were performed to estimate the cutting forces and chip shrinkage coefficients subjected to different cutting parameters such as cutting speeds, cutting depths, and clearance angles of a cutting tool. The obtained results were also used to determine optimal cutting parameters using the Taguchi method. The analysis of variance (ANOVA) was employed to investigate the influence percentage of each cutting parameter on cutting force and chip shrinkage coefficient. The simulation results showed that inclusion of strain rate in numerical model significantly improved the accuracy of estimated cutting force in comparison to experiment. The optimum values obtained for high-milling process were cutting speed 1000 m/min, cutting depth 1 mm, clearance angle 15°, and rake angle 4°.
Similar content being viewed by others
References
Camposeco-Negrete C, Nájera JDC, Miranda-Valenzuela JC (2016) Optimization of cutting parameters to minimize energy consumption during turning of AISI 1018 steel at constant material removal rate using robust design. Int J Adv Manuf Technol 83:1341–1347
Benlahmidi S, Aouici H, Boutaghane F, Khellaf A, Fnides B, Yallese MA (2016) Design optimization of cutting parameters when turning hardened AISI H11 steel (50 HRC) with CBN7020 tools. Int J Adv Manuf Technol 89:803–820
Cheng X, Zha X, Jiang F (2015) Optimizing the geometric parameters of cutting edge for rough machining Fe-Cr-Ni stainless steel. Int J Adv Manuf Technol 85:683–693
Zong WJ, Cao ZM, He CL, Xue CX (2016) Theoretical modelling and FE simulation on the oblique diamond turning of ZnS crystal. Int J Mach Tools Manuf 100:55–71
Arısoy YM, Ozel T (2015) Prediction of machining induced microstructure in Ti–6Al–4V alloy using 3-D FE-based simulations: effects of tool micro-geometry, coating and cutting conditions. J Mater Process Technol 220:1–26
Liao T, Jiang F, Yan L, Cheng X (2017) Optimizing the geometric parameters of cutting edge for finishing machining of Fe-Cr-Ni stainless steel. Int J Adv Manuf Technol 88:2061–2073
Noradila AL, Sajuri Z, Syarif J, Miyashita Y, Mutoh Y (2013) Effect of strain rates on tensile and work hardening properties for Al-Zn magnesium alloys. IOP Conf Ser Mater Sci Eng 46:1–6
Baker M, Rosler J, Siemers C (2002) A finite element model of high speed metal cutting with adiabatic shearing. Comput Struct 80:495–513
Yen Y, Jain A, Altan T (2004) A finite element analysis of orthogonal machining using different tool edge geometries. J Mater Process Technol 146:72–81
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
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 Manuf 48:275–288
Tan Y, Chi YL, Huang YY, Yao TQ (2011) Finite element simulation of extremely high speed machining of Ti6Al4V alloy. Appl Mech Mater 141:293–297
Chen G, Ren C, Yang X, Jin X, 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
Umbrello D, M’Saoubi R, Outeiro JC (2007) The influence of Johnson–Cook material constants on finite element simulation of machining of AISI 316L steel. Int J Mach Tools Manuf 47:462–470
Umbrello D (2008) Finite element simulation of conventional and high speed machining of Ti6Al4V alloy. J Mater Process Technol 196:79–87
Huang Z, Gao L, Wang Y, Wang F (2016) Determination of the Johnson-Cook constitutive model parameters of materials by cluster global optimization algorithm. J Mater Eng Perform 25:4099–4107
Rohr I, Nahme H, Thoma K (2005) Material characterization and constitutive modelling of ductile high strength steel for a wide range of strain rates. Int J Impact Eng 31:401–433
Bai Y, Wierzbicki T (2008) A new model of metal plasticity and fracture with pressure and Lode dependence. Int J Plasticity 24:1071–1096
Shi J, Liu CR (2006) On predicting chip morphology and phase transformation in hard machining. Int J Adv Manuf Technol 27:645–654
Wilkins ML, Streit RD, Reaugh JE (1980) Cumulative-strain-damage model of ductile fracture: simulation and prediction of engineering fracture tests. Lawrence Livermore National Laboratory 53058
Alexandrov S, Jeng YR (2013) An efficient method for the identification of the modified Cockroft-Latham fracture criterion at elevated temperature. Arch Appl Mech 83:1801–1804
Lei S, Shin YC, Incropera FP (1999) Material constitutive modeling under high strain rates and temperatures through orthogonal machining tests. J Manuf Sci Eng 121:577–585
Pham TH, Mac TB, Tong VC, Banh TL, Nguyen DT (2016) Simulation and experimental studies to verify the effect of cutting parameters on chip shrinkage coefficient and cutting forces in machining of A6061 aluminum alloy. Adv Mech Eng 8:1–11
Bao Y, Wierzbicki T (2004) On fracture locus in the equivalent strain and stress triaxiality space. Int J Mech Sci 46:81–98
Bai Y, Wierzbicki T (2010) Application of extended Mohr-Coulomb criterion to ductile fracture. Int J Fract 161:1–20
Luo M, Wierzbicki T (2010) Numerical failure analysis of a stretch-bending test on dual-phase steel sheets using a phenomenological fracture model. Int J Solids Struct 47:3084–3102
Li Y, Wierzbicki T (2010) Prediction of plane strain fracture of AHSS sheets with post-initiation softening. Int J Solids Struct 47:2316–2327
Swan MS (2012) Incorporation of a general strain-to-failure fracture criterion into a stress-based plasticity model through a time-to-failure softening mechanism. MSc thesis in mechanical engineering. University of Utah, Salt Lake City
Li Y, Wierzbicki T, Sutton MA, Yan J, Deng X (2011) Mixed mode stable tearing of thin sheet AI 6061-T6 specimens: experimental measurements and finite element simulations using a modified Mohr-Coulomb fracture criterion. Int J Fract 168:53–71
Wan M, Lu MS, Zhang WH, Yang Y (2012) A new ternary-mechanism model for the predict ion of cutting forces in flat end milling. Int J Mach Tools Manuf 57:34–45
Wan M, Ma YC, Feng J, Zhang WH (2016) Study of static and dynamic ploughing mechanisms by establishing generalized model with static milling forces. Int J Mech Sci 114:120–131
Anayet M, Patwari U, Nurul Amin AKM, Waleed FF (2011) Influence of chip serration frequency on chatter formation during end milling of Ti6Al4V. J Manuf Sci Eng 133:011013
Banh TL, Tran TL, Tran ST (2013) Metal cutting principles. 2nd Ed, Science and Technics Publishing House (In Vietnamese)
Kitagawa T, Kubo A, Maekawa K (1997) Temperature and wear of cutting tools in high speed machining of Inconel 718 and Ti-6Al-6V-2Sn. Wear 202:142–148
El-Wardany TI, Mohammed E, El-Bestawi MA (1996) Cutting temperature of ceramic tools in high speed machining of difficult-to-cut materials. Int J Mach Tools Manuf 36:611–634
Marusich TD (2011) Effects of friction and cutting speed on cutting force. Proc ASME Congress, New York
Funding
This research was funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number “107.02-2016.01.”
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Thi-Hoa, P., Thi-Bich, M., Van-Canh, T. et al. A study on the cutting force and chip shrinkage coefficient in high-speed milling of A6061 aluminum alloy. Int J Adv Manuf Technol 98, 177–188 (2018). https://doi.org/10.1007/s00170-017-1063-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-017-1063-x