ENG  Vol.10 No.3 , March 2018
Simulation of Solidification Parameters during Zr Based Bulk Metallic Glass Matrix Composite’s (BMGMCs) Additive Manufacturing
Abstract: After a silence of three decades, bulk metallic glasses and their composites have re-emerged as a competent engineering material owing to their excellent mechanical properties not observed in any other engineering material known till date. However, they exhibit poor ductility and little or no toughness which make them brittle and they fail catastrophically under tensile loading. Exact explanation of this behaviour is difficult, and a lot of expensive experimentation is needed before conclusive results could be drawn. In present study, a theoretical approach has been presented aimed at solving this problem. A detailed mathematical model has been developed to describe solidification phenomena in zirconium based bulk metallic glass matrix composites during additive manufacturing. It precisely models and predicts solidification parameters related to microscale solute diffusion (mass transfer) and capillary action in these rapidly solidifying sluggish slurries. Programming and simulation of model is performed in MATLAB®. Results show that the use of temperature dependent thermophysical properties yields a synergic effect for multitude improvement and refinement simulation results. Simulated values proved out to be in good agreement with prior simulated and experimental results.
Cite this paper: Rafique, M. (2018) Simulation of Solidification Parameters during Zr Based Bulk Metallic Glass Matrix Composite’s (BMGMCs) Additive Manufacturing. Engineering, 10, 85-108. doi: 10.4236/eng.2018.103007.

[1]   Klement, W., Willens, R.H. and Duwez, P.O.L. (1960) Non-Crystalline Structure in Solidified Gold-Silicon Alloys. Nature, 187, 869-870.

[2]   Hays, C.C., Kim, C.P. and Johnson, W.L. (2000) Microstructure Controlled Shear Band Pattern Formation and Enhanced Plasticity of Bulk Metallic Glasses Containing in situ Formed Ductile Phase Dendrite Dispersions. Physical Review Letters, 84, 2901-2904.

[3]   Johnson, W.L. (1999) Bulk Glass-Forming Metallic Alloys: Science and Technology. MRS Bulletin, 24, 42-56.

[4]   Ashby, M.F. and Greer, A.L. (2006) Metallic Glasses as Structural Materials. Scripta Materialia, 54, 321-326.

[5]   Flores, K.M. and Dauskardt, R.H. (1999) Local Heating Associated with Crack Tip Plasticity in Zr-Ti-Ni-Cu-Be Bulk Amorphous Metals. Journal of Materials Research, 14, 638-643.

[6]   Eckert, J., et al. (2007) Mechanical Properties of Bulk Metallic Glasses and Composites. Journal of Materials Research, 22, 285-301.

[7]   Das, J., et al. (2009) Designing Bulk Metallic Glass and Glass Matrix Composites in Martensitic Alloys. Journal of Alloys and Compounds, 483, 97-101.

[8]   Das, J., et al. (2005) “Work-Hardenable” Ductile Bulk Metallic Glass. Physical Review Letters, 94, 205501.

[9]   Choi-Yim, H. and Johnson, W.L. (1997) Bulk Metallic Glass Matrix Composites. Applied Physics Letters, 71, 3808-3810.

[10]   Cheng, J.L. and Chen, G. (2013) \ Glass Formation of Zr-Cu-Ni-Al Bulk Metallic Glasses Correlated with L → Zr2Cu + ZrCu Pseudo Binary Eutectic Reaction. Journal of Alloys and Compounds, 577, 451-455.

[11]   Chen, M. (2011) A Brief Overview of Bulk Metallic Glasses. NPG Asia Materials, 3, 82-90.

[12]   Chen, M. (2008) Mechanical Behavior of Metallic Glasses: Microscopic Understanding of Strength and Ductility. Annual Review of Materials Research, 38, 445-469.

[13]   Chen, H.S. (1974) Thermodynamic Considerations on the Formation and Stability of Metallic Glasses. Acta Metallurgica, 22, 1505-1511.

[14]   Akihisa, I., et al. (1988) Glass Transition Behavior of Al-Y-Ni and Al-Ce-Ni Amorphous Alloys. Japanese Journal of Applied Physics, 27, L1579.

[15]   Johnson, W.L., et al. (2011) Beating Crystallization in Glass-Forming Metals by Millisecond Heating and Processing. Science, 332, 828-833.

[16]   Jiang, M.Q., et al. (2010) Fractal in Fracture of Bulk Metallic Glass. Intermetallics, 18, 2468-2471.

[17]   Qiao, J., Jia, H. and Liaw, P.K. (2016) Metallic Glass Matrix Composites. Materials Science and Engineering: R: Reports, 100, 1-69.

[18]   Schroers, J. (2010) Processing of Bulk Metallic Glass. Advanced Materials, 22, 1566-1597.

[19]   Greer, A.L. (2010) Materials Science: A Cloak of Liquidity. Nature, 464, 1137-1138.

[20]   Greer, A.L. (1995) Metallic Glasses. Science, 267, 1947-1953.

[21]   Yi, J., et al. (2016) Glass-Forming Ability and Crystallization Behavior of Al86Ni9La5 Metallic Glass with Si Addition. Advanced Engineering Materials, 18, 972-977.

[22]   Cheng, Y.Q., Sheng, H.W. and Ma, E. (2008) Relationship between Structure, Dynamics, and Mechanical Properties in Metallic Glass-Forming Alloys. Physical Review B, 78, 014207.

[23]   Sarac, B. (2015) Microstructure-Property Optimization in Metallic Glasses. Springer, Berlin.

[24]   Greer, A.L. (2011) Metallic Glasses: Damage Tolerance at a Price. Nature Materials, 10, 88-89.

[25]   Gu, X.W., et al. (2014) Mechanisms of Failure in Nanoscale Metallic Glass. Nano Letters, 14, 5858-5864.

[26]   Schroers, J. and Johnson, W.L. (2004) Ductile Bulk Metallic Glass. Physical Review Letters, 93, 255506.

[27]   Schuh, C.A., Hufnagel, T.C. and Ramamurty, U. (2007) Mechanical Behavior of Amorphous Alloys. Acta Materialia, 55, 4067-4109.

[28]   Donovan, P.E. and Stobbs, W.M. (1981) The Structure of Shear Bands in Metallic Glasses. Acta Metallurgica, 29, 1419-1436.

[29]   Dodd, B. and Bai, Y. (2012) Adiabatic Shear Localization: Frontiers and Advances. Elsevier, Amsterdam.

[30]   Gao, Y.F., et al. (2011) On the Shear-Band Direction in Metallic Glasses. Acta Materialia, 59, 4159-4167.

[31]   Greer, A.L., Cheng, Y.Q. and Ma, E. (2013) Shear Bands in Metallic Glasses. Materials Science and Engineering: R: Reports, 74, 71-132.

[32]   Jiang, M.Q., Wang, W.H. and Dai, L.H. (2009) Prediction of Shear-Band Thickness in Metallic Glasses. Scripta Materialia, 60, 1004-1007.

[33]   Leng, Y. and Courtney, T.H. (1991) Multiple Shear Band Formation in Metallic Glasses in Composites. Journal of Materials Science, 26, 588-592.

[34]   Hajlaoui, K., et al. (2007) Unusual Room Temperature Ductility of Glassy Copper-Zirconium Caused by Nanoparticle Dispersions That Grow during Shear. Materials Science and Engineering: A, 449-451, 105-110.

[35]   Zhang, Y. and Greer, A.L. (2007) Correlations for Predicting Plasticity or Brittleness of Metallic Glasses. Journal of Alloys and Compounds, 434-435, 2-5.

[36]   Lewandowski, J., Wang, W.-H. and Greer, A. (2005) Intrinsic Plasticity or Brittleness of Metallic Glasses. Philosophical Magazine Letters, 85, 77-87.

[37]   Kruzic, J.J. (2016) Bulk Metallic Glasses as Structural Materials: A Review. Advanced Engineering Materials, 18, 1308-1331.

[38]   Nishiyama, N., et al. (2012) The World’s Biggest Glassy Alloy Ever Made. Intermetallics, 30, 19-24.

[39]   Schroers, J. (2005) The Superplastic Forming of Bulk Metallic Glasses. JOM, 57, 35-39.

[40]   Guo, G.-Q., et al. (2015) Detecting Structural Features in Metallic Glass via Synchrotron Radiation Experiments Combined with Simulations. Metals, 5, 2093-2108.

[41]   Guo, G.-Q., et al. (2015) How Can Synchrotron Radiation Techniques Be Applied for Detecting Microstructures in Amorphous Alloys? Metals, 5, 2048-2057.

[42]   Zimmermann, G., et al. (2011) Investigation of Columnar-to-Equiaxed Transition in Solidification Processing of AlSi Alloys in Microgravity—The CETSOL Project. Journal of Physics: Conference Series, 327, 012003.

[43]   Zu, F.-Q. (2015) Temperature-Induced Liquid-Liquid Transition in Metallic Melts: A Brief Review on the New Physical Phenomenon. Metals, 5, 395-417.

[44]   Kim, D.H., et al. (2013) Phase Separation in Metallic Glasses. Progress in Materials Science, 58, 1103-1172.

[45]   Ott, R.T., et al. (2005) Micromechanics of Deformation of Metallic-Glass-Matrix Composites from in situ Synchrotron Strain Measurements and Finite Element Modeling. Acta Materialia, 53, 1883-1893.

[46]   Rappaz, M. and Gandin, C.A. (1993) Probabilistic Modelling of Microstructure Formation in Solidification Processes. Acta Metallurgica et Materialia, 41, 345-360.

[47]   Kurz, W., Giovanola, B. and Trivedi, R. (1986) Theory of Microstructural Development during Rapid Solidification. Acta Metallurgica, 34, 823-830.

[48]   Wei, Y.H., et al. (2007) Numerical Simulation of Columnar Dendritic Grain Growth during Weld Solidification Process. Science and Technology of Welding and Joining, 12, 138-146.

[49]   Rappaz, M. and Blank, E. (1986) Simulation of Oriented Dendritic Microstructures Using the Concept of Dendritic Lattice. Journal of Crystal Growth, 74, 67-76.

[50]   Rappaz, M., et al. (1989) Development of Microstructures in Fe-15Ni-15Cr Single Crystal Electron Beam Welds. Metallurgical Transactions A, 20, 1125-1138.

[51]   Rappaz, M., et al. (1990) Analysis of Solidification Microstructures in Fe-Ni-Cr Single-Crystal Welds. Metallurgical Transactions A, 21, 1767-1782.

[52]   Gandin, C.-A., Rappaz, M. and Tintillier, R. (1993) Three-Dimensional Probabilistic Simulation of Solidification Grain Structures: Application to Superalloy Precision Castings. Metallurgical Transactions A, 24, 467-479.

[53]   Zhang, J., et al. (2013) Probabilistic Simulation of Solidification Microstructure Evolution during Laser-Based Metal Deposition. 24th Annual International Solid Freeform Fabrication Symposium—An Additive Manufacturing Conference, Austin, 2013, TX, 739-748.

[54]   Zhou, X., et al. (2016) Simulation of Microstructure Evolution during Hybrid Deposition and Micro-Rolling Process. Journal of Materials Science, 51, 6735-6749.

[55]   Gu, C., et al. (2017) A Three-Dimensional Cellular Automaton Model of Dendrite Growth with Stochastic Orientation during the Solidification in the Molten Pool of Binary Alloy. Science and Technology of Welding and Joining, 22, 47-58.

[56]   Nastac, L. (1999) Numerical Modeling of Solidification Morphologies and Segregation Patterns in Cast Dendritic Alloys. Acta Materialia, 47, 4253-4262.

[57]   Laurentiu, N. and Doru, M.S. (1997) Stochastic Modelling of Microstructure Formation in Solidification Processes. Modelling and Simulation in Materials Science and Engineering, 5, 391.

[58]   Von Neumann, J. and Burks, A.W. (1996) Theory of Self-Reproducing Automata. University of Illinois Press, Urbana, IL.

[59]   Reuther, K. and Rettenmayr, M. (2014) Perspectives for Cellular Automata for the Simulation of Dendritic Solidification—A Review. Computational Materials Science, 95, 213-220.

[60]   Mullins, W.W. and Sekerka, R.F. (1964) Stability of a Planar Interface during Solidification of a Dilute Binary Alloy. Journal of Applied Physics, 35, 444-451.

[61]   Langer, J.S. and Müller-Krumbhaar, J. (1977) Stability Effects in Dendritic Crystal Growth. Journal of Crystal Growth, 42, 11-14.

[62]   Bobadilla, M., Lacaze, J. and Lesoult, G. (1988) Influence des conditions de solidification sur le déroulement de la solidification des aciers inoxydables austénitiques. Journal of Crystal Growth, 89, 531-544.

[63]   Rafique, M.M.A., Qiu, D. and Easton, M. (2017) Modeling and Simulation of Microstructural Evolution in Zr Based Bulk Metallic Glass Matrix Composites during Solidification. MRS Advances, 2, 3591-3606.

[64]   Wu, K., Li, R. and Zhang, T. (2013) Crystallization and Thermophysical Properties of Cu46Zr47Al6Co1 Bulk Metallic Glass. AIP Advances, 3, 112115.

[65]   Yamasaki, M., Kagao, S. and Kawamura, Y. (2005) Thermal Diffusivity and Conductivity of Zr55Al10Ni5Cu30 Bulk Metallic Glass. Scripta Materialia, 53, 63-67.

[66]   Yang, G., et al. (2012) Laser solid forming Zr-based bulk metallic glass. Intermetallics, 22, 110-115.

[67]   Flemings, M.C. (1974) Solidification Processing. McGraw-Hill, New York.

[68]   Yang, L., et al. (2009) Nanoscale Solute Partitioning in Bulk Metallic Glasses. Advanced Materials, 21, 305-308.

[69]   Mills, K.C. (2002) Front Matter A2—Recommended Values of Thermophysical Properties for Selected Commercial Alloys. Woodhead Publishing, Cambridge, iii.

[70]   Grimvall, G. (1999) Front Matter A2—Thermophysical Properties of Materials. Elsevier Science B.V., Amsterdam, iii.

[71]   Valencia, J.J. and Quested, P. (2001) Thermophysical Properties. Modeling for Casting and Solidification Processing, 189.

[72]   Choy, C.L., et al. (1991) Thermal Conductivity of Amorphous Alloys above Room Temperature. Journal of Applied Physics, 70, 4919-4925.