A Phase Field Approach for Modeling Melting and Re-Solidification of Ti-6Al-4V during Selective Laser Melting

Abstract:

A Multi Phase Field model is proposed to describe the microstructure evolution induced by laser-material interaction in Selective Laser Melting (SLM). On the basis of the free enthalpy, the nucleation and growth processes occurring during the relevant phase transformations are explicitly taken into account. Within this contribution, the focus is laid on the SLM processing of the titanium alloy Ti-6Al-4V with special emphasis on the transition between β-titanium and melt. The results are discussed and compared to those of more conventional modelling approaches.

• Periodical: Key Engineering Materials (Volume 704)
• Pages: 241-250
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.704.241
• Online since: August 2016
• Authors: Peter Holfelder*, Jin Ming Lu, Christian Krempaszky, Ewald A. Werner
• Keywords: Phase Field Method, Selective Laser Melting, Simulation, Volume of the Fluid Method

References

[1] M. Shiomi, A. Yoshidome, F. Abe, K. Osakada, Finite element analysis of melting and solidifying processes in laser rapid prototyping of metallic powders, Int. J. Mach. Tool Manu. 39 (1999) 237- 252.

DOI: 10.1016/s0890-6955(98)00036-4

[2] C. Qiu, C. Panwisawas, M. Ward, H. C. Basoalto, J. W. Brooks and M. M. Attallah, On the role of melt flow into the surface structure and porosity development during selective laser melting, Acta Mater. 96 (2015) 72-79.

DOI: 10.1016/j.actamat.2015.06.004

[3] I. Roberts, C. Wang, R. Esterlein, M. Stanford, D. Mynors, A three-dimensional finite element analysis of the temperature field during laser melting of metal powders in additive layer manufacturing, Int. J. Mach. Tool Manu. 19 (2009) 916-923.

DOI: 10.1016/j.ijmachtools.2009.07.004

[4] P. Vora, K. Mumtaz, I. Todd, N. Hopkinson, AlSi12 in-situ alloy formation and residual stress reduction using anchorless selective laser melting, Additive Manu. 7 (2015) 12-19.

DOI: 10.1016/j.addma.2015.06.003

[5] M. v. Allmen, A. Blatter, Laser-Beam Interactions with Materials: Physical Principles and Applications, second ed., Springer Science & Business Media, (2013).

[6] M. Geiger, K. -H. Leitz, H. Koch, A. Otto, A 3D transient model of keyhole and melt pool dynamics in laser beam welding applied to the joining of zinc coated sheets, Prod. Engineer. 3 (2009) 127- 136.

DOI: 10.1007/s11740-008-0148-7

[7] F. -J. Gürtler, M. Karg, K. -H. Leitz, M. Schmidt, Simulation of laser beam melting of steel powders using the three-dimensional Volume of Fluid Method, Phys. Procedia 41 (2013) 881-886.

DOI: 10.1016/j.phpro.2013.03.162

[8] C.W. Hirt, B.D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries, J. Comput. Phys. 39 (1979) 201-225.

DOI: 10.1016/0021-9991(81)90145-5

[9] J.W. Cahn, J.E., Hilliard, Free energy of a nonuniform system. I. Interfacial Free Energy, J. Chem. Phys. 28 (1958) 258-267.

DOI: 10.1063/1.1744102

[10] P. -F. Paradis, T. Ishikawa, S. Yoda, Non-Contact measurements of surface tension and viscosity of niobium, zirconium, and titanium using an electrostatic levitation furnace, Int. J. Thermophys. 23 (2002) 825-842.

[11] X. Bai, M. Li, Nature and extent of melting in superheated solids: Liquid-solid coexistence model, Phys. Rev. B 72 (2005) 052108.

DOI: 10.1103/physrevb.72.052108

[12] D.P. Woodruff, The Solid-Liquid Interface, first ed. Cambridge University Press, (1973).

[13] I. Katzarov, S. Malinov, W. Sha, Finite element modeling of the morphology of β to α phase transformation in Ti-6Al-4V alloy, Metall. Mater. Trans. A 33 (2002) 1027-1040.

DOI: 10.1007/s11661-002-0204-4

[14] W. Kurz, D.J. Fischer, Fundamentals of Solidification, third ed., Trans. Tech. Publications, (1992).

[15] L. Thijs, F. Verhaeghe, T. Craeghs, J.V. Humbeeck, J. -P. Kruth, A study of the microstructural evolution during selective laser melting of Ti-6Al-4V, Acta Mater. 58 (2010) 3303-3312.

DOI: 10.1016/j.actamat.2010.02.004

[16] I. Steinbach, Phase-field models in materials science, Model. Simul. Mater. Sci. Eng. 17 (2009) 073001.

DOI: 10.1088/0965-0393/17/7/073001

[17] U. Grafe, B. Böttger, J. Tiaden, S.G. Fries, Coupling of multicomponent thermodynamic databases to a phase field model: Application to solidification and solid state transformations of superalloys, Scr. Mater. 42 (2000) 1179-1186.

DOI: 10.1016/s1359-6462(00)00355-9

[18] J.J. Hoyt, M. Asta, A. Karma, Atomistic and continuum modeling of dendritic solidification, Mater. Sci. Eng. R-Rep. 41 (2003) 121-163.

[19] E.J. Lavernia, T.S. Srivatsan, The rapid solidification processing of materials: Science, principles, technology, advances, and applications, J. Mater. Sci. 45 (2009) 287-325.

DOI: 10.1007/s10853-009-3995-5

[20] Sente Software Ltd. JMatPro 8 Demo: http: /www. sentesoftware. co. uk, U.K. 2012, (Accessed 2 Jul. 2015).

[21] Thermo-Calc Software: TTTI2 Thermotech Ti-based Alloys database version 2, (Accessed 9 Mar 1998).

[22] M. Simonelli, Y. Tse, C. Tuck, On the texture formation of selective laser melted Ti-6Al-4V, Metall. and Mater. Trans. A 45 (2014) 2863-2872.

DOI: 10.1007/s11661-014-2218-0

[23] N. Saunders, A.P. Miodownik, CALPHAD (Calculation of Phase Diagrams): A Comprehensive Guide, first ed., Pergamon Materials Series, Elsevier Science, (1998).

DOI: 10.1016/s1470-1804(13)60012-7

[24] B. van Hooreweder, D. Moens, R. Boonen, J. -P. Kruth, P. Sas, Analysis of fracture toughness and crack propagation of Ti-6Al-4V produced by selective laser melting, Adv. Eng. Mater. 14 (2012) 92-97.

DOI: 10.1002/adem.201100233