Abstract
A crystal-plasticity modelling framework was implemented to simulate micromachining of a single-crystal metal. A new shear strain-based criterion was proposed to control material removal. This criterion was implemented in three different modelling techniques: element deletion, arbitrary Lagrangian–Eulerian (ALE) adaptive remeshing and smooth particle hydrodynamics (SPH) in a general-purpose finite-element software package ABAQUS. The three different modelling approaches were compared in terms of their computational accuracy and efficiency. Based on these studies, an optimized modelling strategy was proposed to simulate microscratching of single-crystal copper. The validity of the suggested methodology was corroborated through comparison between FE simulations and experimental data in terms of cutting forces, chip morphology and pile-up patterns in the work-piece.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Amini, S., Soleimanimehr, H., Nategh, M., Abudollah, A., Sadeghi, M.: FEM analysis of ultrasonic-vibration-assisted turning and the vibratory tool. J. Mater. Process. Technol. 201(1), 43–47 (2008)
Arısoy, Y.M., Özel, T.: 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 (2015)
Asaro, R.J.: Crystal plasticity. J. Appl. Mech. 50(4b), 921–934 (1983)
Babitsky, V., Mitrofanov, A., Silberschmidt, V.: Ultrasonically assisted turning of aviation materials: simulations and experimental study. Ultrasonics 42(1), 81–86 (2004)
Buchkremer, S., Wu, B., Lung, D., Münstermann, S., Klocke, F., Bleck, W.: FE-simulation of machining processes with a new material model. J. Mater. Process. Technol. 214(3), 599–611 (2014)
Demiral, M., Roy, A., El Sayed, T., Silberschmidt, V.V.: Numerical modelling of micro-machining of f.c.c single crystal: influence of strain gradients. Comput. Mater. Sci. 94, 273–278 (2014)
Elhami, S., Razfar, M., Farahnakian, M.: Analytical, numerical and experimental study of cutting force during thermally enhanced ultrasonic assisted milling of hardened AISI 4140. Int. J. Mech. Sci. 103, 158–171 (2015)
Engel, U., Eckstein, R.: Microforming-from basic research to its realization. J. Mater. Process. Technol. 125, 35–44 (2002)
Greer, J.R., De Hosson, J.T.M.: Plasticity in small-sized metallic systems: intrinsic versus extrinsic size effect. Prog. Mater. Sci. 56(6), 654–724 (2011)
Hibbitt, D., Karlsson, B., Sorensen, P.: Abaqus 6.12. 3 manual. Abaqus 612 3 Manual (2012)
Hokka, M., Leemet, T., Shrot, A., Baeker, M., Kuokkala, V.T.: Characterization and numerical modeling of high strain rate mechanical behavior of Ti-15-3 alloy for machining simulations. Mater. Sci. Eng.: A 550, 350–357 (2012)
Huang, Y.: A user-material subroutine incroporating single crystal plasticity in the ABAQUS finite element program. Harvard University (1991)
Hughes, T.J., Winget, J.: Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Int. J. Numer. Methods Eng. 15(12), 1862–1867 (1980)
Hutchinson, J.: Bounds and self-consistent estimates for creep of polycrystalline materials. Proc. R. Soc. Lond. A: Math., Phys. Eng. Sci., R. Soc. 348, 101–127 (1976)
Jafarian, F., Ciaran, M.I., Umbrello, D., Arrazola, P., Filice, L., Amirabadi, H.: Finite element simulation of machining Inconel 718 alloy including microstructure changes. Int. J. Mech. Sci. 88, 110–121 (2014)
Jin, X., Altintas, Y.: Prediction of micro-milling forces with finite element method. J. Mater. Process. Technol. 212(3), 542–552 (2012)
Johnson, G.R., Cook, W.H.: Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng. Fract. Mech. 21(1), 31–48 (1985)
Kim, J.B., Yoon, J.W.: Necking behavior of AA 6022–T4 based on the crystal plasticity and damage models. Int. J. Plast. 73, 3–23 (2015)
Kraft, O., Gruber, P.A., Mönig, R., Weygand, D.: Plasticity in confined dimensions. Ann. Rev. Mater. Res. 40, 293–317 (2010)
Lee, W., To, S., Cheung, C.: Effect of crystallographic orientation in diamond turning of copper single crystals. Scripta Materialia 42(10), 937–945 (2000)
Liu, K., Melkote, S.N.: Finite element analysis of the influence of tool edge radius on size effect in orthogonal micro-cutting process. Int. J. Mech. Sci. 49(5), 650–660 (2007)
Mian, A., Driver, N., Mativenga, P.: Identification of factors that dominate size effect in micro-machining. Int. J. Mach. Tools Manuf. 51(5), 383–394 (2011)
Monaghan, J.J.: Smoothed particle hydrodynamics. Rep. Prog. Phys. 68(8), 1703 (2005)
Pal, D., Stucker, B.: A study of subgrain formation in Al 3003 H-18 foils undergoing ultrasonic additive manufacturing using a dislocation density based crystal plasticity finite element framework. J. Appl. Phys. 113(20), 203517 (2013)
Parle, D., Singh, R.K., Joshi, S.S., Ravikumar, G.: Modeling of microcrack formation in orthogonal machining. Int. J. Mach. Tools Manuf. 80, 18–29 (2014)
Roters, F., Eisenlohr, P., Hantcherli, L., Tjahjanto, D., Bieler, T., Raabe, D.: Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications. Acta Materialia 58(4), 1152–1211 (2010)
Shi, B., Attia, H.: Current status and future direction in the numerical modeling and simulation of machining processes: a critical literature review. Mach. Sci. Technol. 14(2), 149–188 (2010)
Tajalli, S., Movahhedy, M., Akbari, J.: Simulation of orthogonal micro-cutting of FCC materials based on rate-dependent crystal plasticity finite element model. Comput. Mater. Sci. 86, 79–87 (2014)
Takeuchi, T.: Work hardening of copper single crystals with multiple glide orientations. Trans. Jpn. Inst. Met. 16(10), 629–640 (1975)
Zahedi, S.A., Demiral, M., Roy, A., Silberschmidt, V.V.: FE/SPH modelling of orthogonal micro-machining of f.c.c single crystal. Comput. Mater. Sci. 78, 104–109 (2013)
Zahedi, S.A., Roy, A., Silberschmidt, V.V.: Modelling of vibration assisted machining f.c.c single crystal. Procedia CIRP 31, 393–398 (2015)
Zhang, H., Dong, X.: Physically based crystal plasticity FEM including geometrically necessary dislocations: numerical implementation and applications in micro-forming. Comput. Mater. Sci. 110, 308–320 (2015)
Zhang, Y., Mabrouki, T., Nelias, D., Courbon, C., Rech, J., Gong, Y.: Cutting simulation capabilities based on crystal plasticity theory and discrete cohesive elements. J. Mater. Process. Technol. 212(4), 936–953 (2012)
Zhang, Y., Outeiro, J., Mabrouki, T.: On the selection of Johnson-Cook constitutive model parameters for Ti-6Al-4V using three types of numerical models of orthogonal cutting. Procedia CIRP 31, 112–117 (2015)
Zong, W., Cao, Z., He, C., Xue, C.: Theoretical modelling and FE simulation on the oblique diamond turning of ZnS crystal. Int. J. Mach. Tools Manuf. 100, 55–71 (2016)
Acknowledgments
Funding from the Engineering and Physical Sciences Research Council (UK) through grant EP/K028316/1 and Department of Science and Technology (India), project MAST, is gratefully acknowledged. The authors are grateful to Prof. Takashi Matsumura and Dr. Shoichi Tamura (Japan) for experimental results on microscratching of single-crystal copper.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media Singapore
About this chapter
Cite this chapter
Liu, Q., Dodla, S., Roy, A., Silberschmidt, V.V. (2016). Crystal-Plasticity Simulation of Micromachining of Single-Crystal Metal: Methodology and Analysis. In: Naumenko, K., Aßmus, M. (eds) Advanced Methods of Continuum Mechanics for Materials and Structures. Advanced Structured Materials, vol 60. Springer, Singapore. https://doi.org/10.1007/978-981-10-0959-4_9
Download citation
DOI: https://doi.org/10.1007/978-981-10-0959-4_9
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-0958-7
Online ISBN: 978-981-10-0959-4
eBook Packages: EngineeringEngineering (R0)