Phase-field investigation on the non-equilibrium interface dynamics of rapid alloy solidification Page: 4 of 179
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5.1.11 Sum m ary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91
5.2 Morphology And Velocity Selection In The Undercooled Melt . . . . . . . . . . 92
5.2.1 Numerical m ethod . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
5.2.2 Morphological transition . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
5.2.3 Non-equilibrium chemical partitioning at the interface . . . . . . . . . . 95
5.2.4 Selection of the interface velocity and curvature . . . . . . . . . . . . . . 96
5.2.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100
CHAPTER 6. GENERAL CONCLUSION . . . . . . . . . . . . . . . . . . . . 102
APPENDIX A. THE CODES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105
APPENDIX B. THE DERIVATION OF PHASE-FIELD MODELS . . . . . 142
BIBLIOGRAPHY ................................... 160
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Choi, Jeong. Phase-field investigation on the non-equilibrium interface dynamics of rapid alloy solidification, thesis or dissertation, August 15, 2011; Ames, Iowa. (https://digital.library.unt.edu/ark:/67531/metadc840805/m1/4/: accessed April 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.