M. Calamaz, J. Limido, M. Nouari, C. Espinosa, D. Coupard et al., Toward a better understanding of tool wear effect through a comparison between experiments and SPH numerical modelling of machining hard materials, International Journal of Refractory Metals and Hard Materials, vol.27, issue.3, pp.595-604, 2009.
DOI : 10.1016/j.ijrmhm.2008.09.005

URL : https://hal.archives-ouvertes.fr/hal-00909740

D. Iliescu, D. Gehin, I. Iordanoff, F. Girot, and M. Gutiérrez, A discrete element method for the simulation of CFRP cutting, Composites Science and Technology, vol.70, issue.1, pp.73-80, 2010.
DOI : 10.1016/j.compscitech.2009.09.007

R. Komanduri, Some clarifications on the mechanics of chip formation when machining titanium alloys, Wear, vol.76, issue.1, pp.15-34, 1982.
DOI : 10.1016/0043-1648(82)90113-2

K. Nakayama, M. Arai, and T. Kanda, Machining Characteristics of Hard Materials, CIRP Annals, vol.37, issue.1, pp.89-92, 1988.
DOI : 10.1016/S0007-8506(07)61592-3

Y. Ayed, G. Germain, B. Salem, W. Hamdi, and H. , Experimental and numerical study of laser-assisted machining of Ti6Al4V titanium alloy, Finite Elements in Analysis and Design, vol.92, pp.72-81, 2014.
DOI : 10.1016/j.finel.2014.08.006

URL : https://hal.archives-ouvertes.fr/hal-01065968

J. Liu, Y. Bai, and C. Xu, Evaluation of Ductile Fracture Models in Finite Element Simulation of Metal Cutting Processes, Journal of Manufacturing Science and Engineering, vol.136, issue.1, 2013.
DOI : 10.1115/1.4025625

G. Johnson and W. Cook, A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures, Proceedings of the 7th International Symposium on Ballistics, pp.541-548, 1983.

T. Mabrouki, C. Courbon, Y. Zhang, J. Rech, D. Nélias et al., Some insights on the modelling of chip formation and its morphology during metal cutting operations, Comptes Rendus M??canique, vol.344, issue.4-5, pp.335-54, 2016.
DOI : 10.1016/j.crme.2016.02.003

URL : https://hal.archives-ouvertes.fr/hal-01442818

T. Mabrouki and J. Rigal, A contribution to a qualitative understanding of thermo-mechanical effects during chip formation in hard turning, Journal of Materials Processing Technology, vol.176, issue.1-3, pp.214-235, 2006.
DOI : 10.1016/j.jmatprotec.2006.03.159

URL : https://hal.archives-ouvertes.fr/hal-00938632

M. Calamaz, D. Coupard, and F. Girot, A new material model for 2D numerical simulation of serrated chip formation when machining titanium alloy Ti???6Al???4V, International Journal of Machine Tools and Manufacture, vol.48, issue.3-4, pp.275-88, 2008.
DOI : 10.1016/j.ijmachtools.2007.10.014

URL : https://hal.archives-ouvertes.fr/hal-00911076

T. Holmquist and R. Johnson, DETERMINATION OF CONSTANTS AND COMPARISON OF RESULTS FOR VARIOUS CONSTITUTIVE MODELS, Le Journal de Physique IV, vol.01, issue.C3, pp.853-60, 1991.
DOI : 10.1051/jp4:19913119

URL : https://hal.archives-ouvertes.fr/jpa-00249922

R. Wk and S. Jones, A revised form for the Johnson?Cook strength model, Int J Impact Eng, vol.21, issue.97, pp.609-633, 1998.

W. Kang and H. , Crash analysis of auto-body structures considering the strainrate hardening effect, 2000.

J. Tan, M. Zhan, S. Liu, T. Huang, J. Guo et al., A modified Johnson???Cook model for tensile flow behaviors of 7050-T7451 aluminum alloy at high strain rates, Materials Science and Engineering: A, vol.631, pp.214-233, 2015.
DOI : 10.1016/j.msea.2015.02.010

A. Khan, S. Suh, Y. Kazmi, and R. , Quasi-static and dynamic loading responses and constitutive modeling of titanium alloys, International Journal of Plasticity, vol.20, issue.12, pp.2233-2281, 2004.
DOI : 10.1016/j.ijplas.2003.06.005

M. Vural and J. Caro, Experimental analysis and constitutive modeling for the newly developed 2139-T8 alloy, Materials Science and Engineering: A, vol.520, issue.1-2, pp.56-65, 2009.
DOI : 10.1016/j.msea.2009.05.026

Y. Lin, X. Chen, and G. Liu, A modified Johnson???Cook model for tensile behaviors of typical high-strength alloy steel, Materials Science and Engineering: A, vol.527, issue.26, pp.6980-6986, 2010.
DOI : 10.1016/j.msea.2010.07.061

H. Li, X. Wang, J. Duan, and J. Liu, A modified Johnson Cook model for elevated temperature flow behavior of T24 steel, Materials Science and Engineering: A, vol.577, pp.138-184, 2013.
DOI : 10.1016/j.msea.2013.04.041

M. Bäker, Finite element simulation of high-speed cutting forces, Journal of Materials Processing Technology, vol.176, issue.1-3, pp.117-143, 2006.
DOI : 10.1016/j.jmatprotec.2006.02.019

P. Sartkulvanich, F. Koppka, and T. Altan, Determination of flow stress for metal cutting simulation???a progress report, Journal of Materials Processing Technology, vol.146, issue.1, pp.61-71, 2004.
DOI : 10.1016/S0924-0136(03)00845-8

U. Andrade, M. Meyers, and A. Chokshi, Constitutive description of work- and shock-hardened copper, Scripta Metallurgica et Materialia, vol.30, issue.7, pp.933-941, 1994.
DOI : 10.1016/0956-716X(94)90418-9

M. Sima and T. Özel, Modified material constitutive models for serrated chip formation simulations and experimental validation in machining of titanium alloy Ti???6Al???4V, International Journal of Machine Tools and Manufacture, vol.50, issue.11, pp.6-10
DOI : 10.1016/j.ijmachtools.2010.08.004

F. Mcclintock, A Criterion for Ductile Fracture by the Growth of Holes, Journal of Applied Mechanics, vol.35, issue.2, 1968.
DOI : 10.1115/1.3601204

J. Rice and D. Tracey, On the ductile enlargement of voids in triaxial stress fields???, Journal of the Mechanics and Physics of Solids, vol.17, issue.3, pp.201-218, 1969.
DOI : 10.1016/0022-5096(69)90033-7

A. Gurson, Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I???Yield Criteria and Flow Rules for Porous Ductile Media, Journal of Engineering Materials and Technology, vol.99, issue.1, pp.2-15, 1977.
DOI : 10.1115/1.3443401

M. Cockcroft and D. Latham, Ductility and the workability of metals, J Inst Met, vol.96, pp.33-42, 1968.

P. Bridgman, Studies in large plastic flow and fracture: with special emphasis on the effects of hydrostatic pressure, Science, vol.115, issue.80, 1952.
DOI : 10.4159/harvard.9780674731349

G. Johnson and W. Cook, Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures, Engineering Fracture Mechanics, vol.21, issue.1, pp.31-48, 1985.
DOI : 10.1016/0013-7944(85)90052-9

T. Wierzbicki, Y. Bao, Y. Lee, and Y. Bai, Calibration and evaluation of seven fracture models, International Journal of Mechanical Sciences, vol.47, issue.4-5, pp.719-762, 2005.
DOI : 10.1016/j.ijmecsci.2005.03.003

M. Wilkins, R. Streit, and J. Reaugh, Cumulative-strain-damage model of ductile fracture: simulation and prediction of engineering fracture tests, Sci Appl Inc, p.53058, 1980.
DOI : 10.2172/6628920

T. Wierzbicki and L. Xue, On the effect of the third invariant of the stress deviator on ductile fracture; Impact Crashworthiness Lab Tech Rep, 2005.

G. Germain, A. Morel, and T. Braham-bouchnak, Identification of Material Constitutive Laws Representative of Machining Conditions for Two Titanium Alloys: Ti6Al4V and Ti555-3, Journal of Engineering Materials and Technology, vol.135, issue.3, pp.31002-31013, 2013.
DOI : 10.1115/1.4023674

A. Hor, F. Morel, J. Lebrun, and G. Germain, Modelling, identification and application of phenomenological constitutive laws over a large strain rate and temperature range, Mechanics of Materials, vol.64, 2013.
DOI : 10.1016/j.mechmat.2013.05.002

URL : https://hal.archives-ouvertes.fr/hal-01068551

M. Harzallah, T. Pottier, J. Senatore, M. Mousseigne, G. Germain et al., A new behavior model for better understanding of titanium alloys Ti-6Al-4V chip formation in orthogonal cutting, AIP Conf Proc, vol.1769
DOI : 10.1016/j.jmatprotec.2014.07.007

URL : https://hal.archives-ouvertes.fr/hal-01609103

D. Marquardt, An Algorithm for Least-Squares Estimation of Nonlinear Parameters, Journal of the Society for Industrial and Applied Mathematics, vol.11, issue.2, pp.431-472, 1963.
DOI : 10.1137/0111030

J. Ponthot and J. Kleinermann, A cascade optimization methodology for automatic parameter identification and shape/process optimization in metal forming simulation, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.41-43, pp.5472-508, 2006.
DOI : 10.1016/j.cma.2005.11.012

T. Pottier, G. Germain, M. Calamaz, A. Morel, and D. Coupard, Sub-Millimeter Measurement of Finite Strains at Cutting Tool Tip Vicinity, Experimental Mechanics, vol.174, issue.1???2, pp.1031-1073, 2014.
DOI : 10.1016/j.jmatprotec.2006.01.012

URL : https://hal.archives-ouvertes.fr/hal-01022455

L. Malvern, Introduction to the mechanics of a continuous medium, 1969.

Y. Bai and T. Wierzbicki, Application of extended Mohr???Coulomb criterion to ductile fracture, International Journal of Fracture, vol.37, issue.7, pp.1-20, 2010.
DOI : 10.1016/0001-6160(84)90213-X

Y. Bao and T. Wierzbicki, On the cut-off value of negative triaxiality for fracture, Engineering Fracture Mechanics, vol.72, issue.7, pp.1049-69, 2005.
DOI : 10.1016/j.engfracmech.2004.07.011

B. Abdelali, H. Claudin, C. Rech, J. , B. Salem et al., Experimental characterization of friction coefficient at the tool???chip???workpiece interface during dry cutting of AISI 1045, Wear, vol.286, issue.287, 2012.
DOI : 10.1016/j.wear.2011.05.030

H. Puls, F. Klocke, and D. Lung, Experimental investigation on friction under metal cutting conditions, Wear, vol.310, issue.1-2, pp.63-71, 2014.
DOI : 10.1016/j.wear.2013.12.020

N. Zorev, Interrelationship between shear processes occurring along tool face and on shear plane in metal cutting, ASME Proc Int Res Prod Eng, pp.42-51, 1963.

Y. Zhang, J. Outeiro, and T. Mabrouki, On the Selection of Johnson-cook Constitutive Model Parameters for Ti-6Al-4V Using Three Types of Numerical Models of Orthogonal Cutting, Procedia CIRP, vol.31, pp.112-129, 2015.
DOI : 10.1016/j.procir.2015.03.052

URL : https://hal.archives-ouvertes.fr/hal-01442867

S. Atlati, B. Haddag, M. Nouari, and M. Zenasni, Analysis of a new Segmentation Intensity Ratio ???SIR??? to characterize the chip segmentation process in machining ductile metals, International Journal of Machine Tools and Manufacture, vol.51, issue.9, pp.687-700, 2011.
DOI : 10.1016/j.ijmachtools.2011.05.007

F. Ducobu, E. Rivière-lorphèvre, and E. Filippi, Numerical contribution to the comprehension of saw-toothed Ti6Al4V chip formation in orthogonal cutting, International Journal of Mechanical Sciences, vol.81, pp.77-87, 2014.
DOI : 10.1016/j.ijmecsci.2014.02.017

D. Rittel and Z. Wang, Thermo-mechanical aspects of adiabatic shear failure of AM50 and Ti6Al4V alloys, Mechanics of Materials, vol.40, issue.8, pp.629-664, 2008.
DOI : 10.1016/j.mechmat.2008.03.002