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Chapter and Conference Paper
Pattern Formation in Directional Solidification: The Nonlinear Evolution of Cellular Melt/Solid Interfaces
The formulation of moderate amplitude two-dimensional cellular interfaces arising in directional solidification of a binary alloy is probed by finite element analysis coupled with computer-implemented perturba...
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Chapter and Conference Paper
Nonlinear Interactions of Interface Structures of Differing Wavelength in Directional Solidification
The solution structure of the cellular patterns formed during the directional solidification of a material containing a dilute impurity is studied by numerical analysis of a simple model. Solution families cor...
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Article
Finite element methods for unsteady solidification problems arising in prediction of morphological structure
Galerkin finite element methods are presented for calculation of the dynamic transitions between planar and deep two-dimensional cellular interface morphologies in directional solidification of a binary alloy ...