A New Efficient Quantitative Multi-component Phase Field: Lattice Boltzmann Model for Simulating Ti6Al4V Solidified Dend
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A New Efficient Quantitative Multi-component Phase Field: Lattice Boltzmann Model for Simulating Ti6Al4V Solidified Dendrite Under Forced Flow WEIZHAO SUN, YU XIE, RUI YAN, SIDA MA, HONGBIAO DONG, and TAO JING Ti6Al4V is a widely used, multi-component alloy in additive manufacturing, during which the fluid flow in the molten pool significantly affects the solidified dendrites. To predict and further control the microstructure, modeling and simulating the microstructure evolution play a critical role. In this study, a newly developed, efficient, quantitative multi-component phase-field (PF) model is coupled with a lattice Boltzmann (LB) model to simulate Ti6Al4V solidified dendrite evolution under fluid flow. The accuracy and convergence behavior of the model is validated by the Gibbs–Thomson relation at the dendrite tip. Single and multiple two-dimensional (2D) equiaxed dendrite evolution cases under forced flow were simulated. Results show that the dendrite pattern is influenced remarkably by the fluid flow. Underlying mechanisms of the asymmetrical evolution are revealed by discussing the interaction among the flow, composition distribution and dendrite morphology, quantitatively. The dendrite kinetics are also derived, which ascertains the relationship between tip velocity and undercooling and inlet velocity and is the foundation for larger-scale simulation. We believe that the coupled quantitative multi-component PF–LB framework employed in this study helps in investigating the solidified dendrite morphology evolution in a deep and quantitate manner. https://doi.org/10.1007/s11663-019-01669-y The Minerals, Metals & Materials Society and ASM International 2019
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INTRODUCTION
Ti6Al4V is the most widely used multi-component alloy of titanium (Ti) and titanium alloys, whose usage amount accounts for > 60 pct of this kind of alloy.[1] To obtain Ti6Al4V products of high quality and at relatively low cost, additive manufacturing provides a new chance through layer-by-layer additions of metal under the protection of inert gas or vacuum.[2] This process is characterized by high localized heat input and violent fluid flow, leading to the coarse solidification microstructure and eventually decreasing the mechanical
WEIZHAO SUN, RUI YAN, SIDA MA, and TAO JING are with the Key Laboratory for Advanced Materials Processing Technology, Ministry of Education, School of Materials Science and Engineering, Tsinghua University, Beijing 100084, China. Contact e-mail: [email protected] YU XIE is with the State Key Laboratory of Development and Application Technology of Automotive Steel, Baoshan Iron & Steel Co., Ltd., Shanghai 201900, China. HONGBIAO DONG is with the Department of Engineering, University of Leicester, Leicester LE1 7RH, UK. Contact e-mail: [email protected] Manuscript submitted April 22, 2019.
METALLURGICAL AND MATERIALS TRANSACTIONS B
performance.[3,4] To predict and control the additive manufacturing solidification microstructure, modeling and simulation play a critical role. Currently, limited by the calculation effici
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