Abstract
The metallurgical phenomena taking place during machining processes affect the thermo-mechanical properties of the severely deformed materials, influencing, consequently, the process behavior. The microstructural modifications are difficult to be evaluated when the material is subjected to high speed deformations that are typical of material removal processes. Therefore, the microstructure-based numerical simulations can represent a useful tool able to properly predict their mechanics. Hard turning experiments were conducted on Ti6Al4V alloy, involving different process parameters and lubri-cooling conditions. The worked samples surfaces were assessed in terms of resulting microstructural changes and microhardness. The obtained results (cutting forces, temperature, and surface metallurgical modifications) were considered to develop and validate a physics-based model able to describe the microstructural phenomena occurring under large deformation processes, taking into account the influence of the physical phenomena that accommodate the material plastic strengthening and their resulting effects on the process variables. The dislocations reciprocal influence and their interaction with the material lattice were considered to understand the material viscoplastic flow. Moreover, also the recrystallization phenomena influencing the grain size related strengthening were considered to formulate the model. Then, the developed material model was implemented via user sub-routine in a commercial finite element (FE) software. The FE model was used to in-depth analyze the inner evolution of the processed material and to predict the variables of industrial interest. A good agreement was shown between the experimentally measured variables and the numerically predicted results. Moreover, the model was employed to investigate additional machining conditions via finite element analysis (FEA), demonstrating a huge capability to improve the manufacturing process performances, leading to a deeper knowledge of microstructural evolution and the material machinability under various process conditions.
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Yuan S, Lin N, Zou J, Lin X, Liu Z, Yu Y, Wang Z, Zeng Q, Chen W, Tian L, Qin L, Xie R, Li B, Zhang H, Wang Z, Tang B, Wu Y (2020) In-situ fabrication of gradient titanium oxide ceramic coating on laser surface textured Ti6Al4V alloy with improved mechanical property and wear performance. Vacuum 176:109327. https://doi.org/10.1016/j.vacuum.2020.109327
Wang B, Xiao X, Astakhov VP, Liu Z (2020) A quantitative analysis of the transition of fracture mechanisms of Ti6Al4V over a wide range of stress triaxiality and strain rate. Eng Fract Mech 231:107020. https://doi.org/10.1016/j.engfracmech.2020.107020
Ma R, Liu Z, Wang W et al (2020) Microstructures and mechanical properties of Ti6Al4V-Ti48Al2Cr2Nb alloys fabricated by laser melting deposition of powder mixtures. Mater Charact:110321. https://doi.org/10.1016/j.matchar.2020.110321
Sun Z, Ji X, Zhang W, Chang L, Xie G, Chang H, Zhou L (2020) Microstructure evolution and high temperature resistance of Ti6Al4V/Inconel625 gradient coating fabricated by laser melting deposition. Mater Des 191:108644. https://doi.org/10.1016/j.matdes.2020.108644
Muñoz JA, Higuera OF, Benito JA et al (2019) Analysis of the micro and substructural evolution during severe plastic deformation of ARMCO iron and consequences in mechanical properties. Mater Sci Eng A 740–741:108–120. https://doi.org/10.1016/j.msea.2018.10.100
Bai Y, Chaudhari A, Wang H (2020) Investigation on the microstructure and machinability of ASTM A131 steel manufactured by directed energy deposition. J Mater Process Technol 276:116410. https://doi.org/10.1016/j.jmatprotec.2019.116410
Sharma S, Meena A (2020) Microstructure attributes and tool wear mechanisms during high-speed machining of Ti-6Al-4V. J Manuf Process 50:345–365. https://doi.org/10.1016/j.jmapro.2019.12.029
Del Prete A, Primo T, Franchi R (2013) Super-nickel orthogonal turning operations optimization. Procedia CIRP 8:164–169. https://doi.org/10.1016/j.procir.2013.06.083
Rinaldi S, Imbrogno S, Rotella G et al (2019) Physics based modeling of machining Inconel 718 to predict surface integrity modification. Procedia CIRP 82:350–355. https://doi.org/10.1016/j.procir.2019.04.150
Minkowycz WJ, Sparrow EM, Murthy JY, Abraham JP (2009) Handbook of numerical heat transfer: Second Edition. Handbook of numerical heat transfer, Wiley–Interscience. https://doi.org/10.1002/9780470172599
Franchi R, Del Prete A, Umbrello D (2017) Inverse analysis procedure to determine flow stress and friction data for finite element modeling of machining. Int J Mater Form 10:685–695. https://doi.org/10.1007/s12289-016-1311-x
Luo J, Li M, Li X, Shi Y (2010) Constitutive model for high temperature deformation of titanium alloys using internal state variables. Mech Mater 42:157–165. https://doi.org/10.1016/j.mechmat.2009.10.004
Gambirasio L, Rizzi E (2014) On the calibration strategies of the Johnson-Cook strength model: discussion and applications to experimental data. Mater Sci Eng A 610:370–413. https://doi.org/10.1016/j.msea.2014.05.006
Ding H, Shin YC (2012) Dislocation density-based modeling of subsurface grain refinement with laser-induced shock compression. Comput Mater Sci 53:79–88. https://doi.org/10.1016/j.commatsci.2011.08.038
Zenasni Z, Haterbouch M, Atmani Z, Atlati S, Zenasni M, Nasri K, Oussouaddi O (2019) Physics-based plasticity model incorporating microstructure changes for severe plastic deformation. C R Mec 347:601–614. https://doi.org/10.1016/j.crme.2019.06.001
Taylor GI (1934) The mechanism of plastic deformation of crystals. Part II.—Comparison with observations. Proc R Soc Lond Ser A Contain Pap Math Phys Charact 145:388–404. https://doi.org/10.1098/rspa.1934.0107
Orowan E (1934) Zur Kristallplastizität. II. Z Phys 89:614–633. https://doi.org/10.1007/bf01341479
Johnston WG, Gilman JJ (1959) Dislocation velocities, dislocation densities, and plastic flow in lithium fluoride crystals. J Appl Phys 30:129–144. https://doi.org/10.1063/1.1735121
Bergström Y (1970) A dislocation model for the stress-strain behaviour of polycrystalline α-Fe with special emphasis on the variation of the densities of mobile and immobile dislocations. Mater Sci Eng 5:193–200. https://doi.org/10.1016/0025-5416(70)90081-9
Mecking H, Kocks UF (1981) Kinetics of flow and strain-hardening. Acta Metall 29:1865–1875. https://doi.org/10.1016/0001-6160(81)90112-7
Bammann DJ, Aifantis EC (1982) On a proposal for a continuum with microstructure. Acta Mech 45:91–121
Estrin Y, Kubin LP (1986) Local strain hardening and nonuniformity of plastic deformation. Acta Metall 34:2455–2464. https://doi.org/10.1016/0001-6160(86)90148-3
Hansen BL, Beyerlein IJ, Bronkhorst CA, Cerreta EK, Dennis-Koller D (2013) A dislocation-based multi-rate single crystal plasticity model. Int J Plast 44:129–146. https://doi.org/10.1016/j.ijplas.2012.12.006
Li D, Zbib H, Sun X, Khaleel M (2014) Predicting plastic flow and irradiation hardening of iron single crystal with mechanism-based continuum dislocation dynamics. Int J Plast 52:3–17. https://doi.org/10.1016/j.ijplas.2013.01.015
Estrin Y, Mecking H (1992) A remark in connection with “direct versus indirect dispersion hardening”. Scr Metall Mater 27:647–648. https://doi.org/10.1016/0956-716X(92)90355-I
Mukherjee M, Prahl U, Bleck W (2010) Modelling of microstructure and flow stress evolution during hot forging. Steel Res Int 81:1102–1116. https://doi.org/10.1002/srin.201000114
Motaman SAH, Prahl U (2019) Microstructural constitutive model for polycrystal viscoplasticity in cold and warm regimes based on continuum dislocation dynamics. J Mech Phys Solids 122:205–243. https://doi.org/10.1016/j.jmps.2018.09.002
Mohamed FA (2003) A dislocation model for the minimum grain size obtainable by milling. Acta Mater 51:4107–4119. https://doi.org/10.1016/S1359-6454(03)00230-1
Ding H, Shen N, Shin YC (2011) Modeling of grain refinement in aluminum and copper subjected to cutting. Comput Mater Sci 50:3016–3025. https://doi.org/10.1016/j.commatsci.2011.05.020
Ding H, Shin YC (2014) Dislocation density-based grain refinement modeling of orthogonal cutting of titanium. J Manuf Sci Eng Trans ASME:136. https://doi.org/10.1115/1.4027207
Ding H, Shin YC (2013) Multi-physics modeling and simulations of surface microstructure alteration in hard turning. J Mater Process Technol 213:877–886. https://doi.org/10.1016/j.jmatprotec.2012.12.016
Ding H, Shin YC (2012) A metallo-thermomechanically coupled analysis of orthogonal cutting of AISI 1045 steel. J Manuf Sci Eng Trans ASME:134. https://doi.org/10.1115/1.4007464
Liu K, Melkote SN (2007) Finite element analysis of the influence of tool edge radius on size effect in orthogonal micro-cutting process. Int J Mech Sci 49:650–660. https://doi.org/10.1016/j.ijmecsci.2006.09.012
Wu H, Ma J, Lei S (2018) FEM prediction of dislocation density and grain size evolution in high-speed machining of Al6061-T6 alloy using microgrooved cutting tools. Int J Adv Manuf Technol 95:4211–4227. https://doi.org/10.1007/s00170-017-1476-6
Melkote SN, Liu R, Fernandez-Zelaia P, Marusich T (2015) A physically based constitutive model for simulation of segmented chip formation in orthogonal cutting of commercially pure titanium. CIRP Ann Manuf Technol 64:65–68. https://doi.org/10.1016/j.cirp.2015.04.060
Fernandez-Zelaia P, Melkote S, Marusich T, Usui S (2017) A microstructure sensitive grain boundary sliding and slip based constitutive model for machining of Ti-6Al-4V. Mech Mater 109:67–81. https://doi.org/10.1016/j.mechmat.2017.03.018
Imbrogno S, Rinaldi S, Umbrello D, Filice L, Franchi R, del Prete A (2018) A physically based constitutive model for predicting the surface integrity in machining of Waspaloy. Mater Des 152:140–155. https://doi.org/10.1016/j.matdes.2018.04.069
Raof NA, Ghani JA, Haron CHC (2019) Machining-induced grain refinement of AISI 4340 alloy steel under dry and cryogenic conditions. J Mater Res Technol 8:4347–4353. https://doi.org/10.1016/j.jmrt.2019.07.045
Atmani Z, Haddag B, Nouari M, Zenasni M (2016) Combined microstructure-based flow stress and grain size evolution models for multi-physics modelling of metal machining. Int J Mech Sci 118:77–90. https://doi.org/10.1016/j.ijmecsci.2016.09.016
Yang Z, Welzel U (2005) Microstructure-microhardness relation of nanostructured Ni produced by high-pressure torsion. Mater Lett 59:3406–3409. https://doi.org/10.1016/j.matlet.2005.05.077
Liu HW (1999) A dislocation barrier model for fatigue limit—as determined by crack non-initiation and crack non-propagation. Int J Fract 96:331–345. https://doi.org/10.1023/A:1018654430344
Duryat RS, Kim CU (2014) A model-inspired phenomenology constitutive equation for the temperature-dependence of flow stress at confined dimension II. IOP Conf Ser Mater Sci Eng 58:58. https://doi.org/10.1088/1757-899X/58/1/012021
Tanaka M, Higashida K (2016) Temperature dependence of effective stress in severely deformed ultralow-carbon steel. Philos Mag 96:1979–1992. https://doi.org/10.1080/14786435.2016.1183828
Blaschke DN, Mottola E, Preston DL (2020) Dislocation drag from phonon wind in an isotropic crystal at large velocities. Philos Mag 100:571–600. https://doi.org/10.1080/14786435.2019.1696484
Babu B, Lindgren LE (2013) Dislocation density based model for plastic deformation and globularization of Ti-6Al-4V. Int J Plast 50:94–108. https://doi.org/10.1016/j.ijplas.2013.04.003
Quan GZ, Luo GC, Liang JT, Wu DS, Mao A, Liu Q (2015) Modelling for the dynamic recrystallization evolution of Ti-6Al-4V alloy in two-phase temperature range and a wide strain rate range. Comput Mater Sci 97:136–147. https://doi.org/10.1016/j.commatsci.2014.10.009
Matsumoto H, Velay V (2017) Mesoscale modeling of dynamic recrystallization behavior, grain size evolution, dislocation density, processing map characteristic, and room temperature strength of Ti-6Al-4V alloy forged in the (α+β) region. J Alloys Compd 708:404–413. https://doi.org/10.1016/j.jallcom.2017.02.285
Long Y, Zhang H, Wang T, Huang X, Li Y, Wu J, Chen H (2013) High-strength Ti-6Al-4V with ultrafine-grained structure fabricated by high energy ball milling and spark plasma sintering. Mater Sci Eng A 585:408–414. https://doi.org/10.1016/j.msea.2013.07.078
Zhang Z, Ódor É, Farkas D, Jóni B, Ribárik G, Tichy G, Nandam SH, Ivanisenko J, Preuss M, Ungár T (2020) Dislocations in grain boundary regions: the origin of heterogeneous microstrains in nanocrystalline materials. Metall Mater Trans A Phys Metall Mater Sci 51:513–530. https://doi.org/10.1007/s11661-019-05492-7
Umbrello D, Bordin A, Imbrogno S, Bruschi S (2017) 3D finite element modelling of surface modification in dry and cryogenic machining of EBM Ti6Al4V alloy. CIRP J Manuf Sci Technol 18:92–100. https://doi.org/10.1016/j.cirpj.2016.10.004
Caruso S, Imbrogno S, Rinaldi S, Umbrello D (2017) Finite element modeling of microstructural changes in Waspaloy dry machining. Int J Adv Manuf Technol 89:227–240. https://doi.org/10.1007/s00170-016-9037-y
Banerjee S, Chakraborti PC, Saha SK (2019) An automated methodology for grain segmentation and grain size measurement from optical micrographs. Meas J Int Meas Confed 140:142–150. https://doi.org/10.1016/j.measurement.2019.03.046
Umbrello D, Rotella G (2018) Fatigue life of machined Ti6Al4V alloy under different cooling conditions. CIRP Ann 67:99–102. https://doi.org/10.1016/j.cirp.2018.03.017
Astakhov VP, Joksch S (2012) Metalworking fluids, 2nd edn. Woodhead Publishing. https://doi.org/10.1201/9781420017731
Filice L, Micari F, Rizzuti S, Umbrello D (2007) A critical analysis on the friction modelling in orthogonal machining. Int J Mach Tools Manuf 47:709–714. https://doi.org/10.1016/j.ijmachtools.2006.05.007
Arrazola PJ, Özel T, Umbrello D, Davies M, Jawahir IS (2013) Recent advances in modelling of metal machining processes. CIRP Ann Manuf Technol 62:695–718. https://doi.org/10.1016/j.cirp.2013.05.006
Courbon C, Pusavec F, Dumont F, Rech J, Kopac J (2013) Tribological behaviour of Ti6Al4V and Inconel718 under dry and cryogenic conditions—application to the context of machining with carbide tools. Tribol Int 66:72–82. https://doi.org/10.1016/j.triboint.2013.04.010
Niu Q, Chen M, Ming W, An Q (2013) Evaluation of the performance of coated carbide tools in face milling TC6 alloy under dry condition. Int J Adv Manuf Technol 64:623–631. https://doi.org/10.1007/s00170-012-4043-1
Hong SY, Ding Y, Cheol JW (2001) Friction and cutting forces in cryogenic machining of Ti-6Al-4V. Int J Mach Tools Manuf 41:2271–2285. https://doi.org/10.1016/S0890-6955(01)00029-3
Kiran Sagar C, Kumar T, Priyadarshini A, Kumar Gupta A (2019) Prediction and optimization of machining forces using oxley’s predictive theory and RSM approach during machining of WHAs. Def Technol 15:923–935. https://doi.org/10.1016/j.dt.2019.07.004
Zhao Z, To S, Zhu Z, Yin T (2020) A theoretical and experimental investigation of cutting forces and spring back behaviour of Ti6Al4V alloy in ultraprecision machining of microgrooves. Int J Mech Sci 169:105315. https://doi.org/10.1016/j.ijmecsci.2019.105315
Rinaldi S, Caruso S, Umbrello D, Filice L, Franchi R, del Prete A (2018) Machinability of Waspaloy under different cutting and lubri-cooling conditions. Int J Adv Manuf Technol 94:3703–3712. https://doi.org/10.1007/s00170-017-1133-0
Tasdelen B, Thorfdenberg H, Olofsson D (2008) An experimental investigation on contact length during minimum quantity lubrication (MQL) machining. J Mater Process Technol 203:221–231. https://doi.org/10.1016/j.jmatprotec.2007.10.027
Kumar Sharma A, Kumar Tiwari A, Rai Dixit A, Kumar Singh R (2020) Measurement of machining forces and surface roughness in turning of AISI 304 steel using alumina-MWCNT hybrid nanoparticles enriched cutting fluid. Meas J Int Meas Confed 150:107078. https://doi.org/10.1016/j.measurement.2019.107078
Rotella G, Umbrello D (2014) Finite element modeling of microstructural changes in dry and cryogenic cutting of Ti6Al4V alloy. CIRP Ann Manuf Technol 63:69–72. https://doi.org/10.1016/j.cirp.2014.03.074
Huang Y, Prangnell PB (2008) The effect of cryogenic temperature and change in deformation mode on the limiting grain size in a severely deformed dilute aluminium alloy. Acta Mater 56:1619–1632. https://doi.org/10.1016/j.actamat.2007.12.017
Xu X, Zhang J, Outeiro J, Xu B, Zhao W (2020) Multiscale simulation of grain refinement induced by dynamic recrystallization of Ti6Al4V alloy during high speed machining. J Mater Process Technol 286:116834. https://doi.org/10.1016/j.jmatprotec.2020.116834
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Sergio Rinaldi Roles: Conceptualization (supporting), Data curation (lead), Formal analysis (supporting), Funding acquisition (supporting), Investigation (equal), Methodology (equal), Project administration (supporting), Resources (supporting), Software (lead), Supervision (supporting), Validation (lead), Writing – original draft (lead), Writing – review and editing (supporting)
Giovanna Rotella Roles: Conceptualization (equal), Data curation (supporting), Formal analysis (equal), Funding acquisition (equal), Investigation (equal), Methodology (equal), Project administration (lead), Resources (supporting), Software (supporting), Supervision (supporting), Validation (supporting), Writing – original draft (supporting), Writing – review and editing (equal)
Antonio Del Prete Roles: Conceptualization (equal), Data curation (supporting), Formal analysis (supporting), Funding acquisition (equal), Investigation (equal), Methodology (equal), Project administration (supporting), Resources (equal), Software (supporting), Supervision (lead), Validation (supporting), Writing – original draft (supporting), Writing – review and editing (equal)
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Rinaldi, S., Rotella, G. & Del Prete, A. A physically based constitutive model of microstructural evolution of Ti6Al4V hard machining under different lubri-cooling conditions. Int J Adv Manuf Technol 112, 1641–1659 (2021). https://doi.org/10.1007/s00170-020-06540-y
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DOI: https://doi.org/10.1007/s00170-020-06540-y