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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...

    M. J. Bennett, R. A. Brown, L. H. Ungar in The Physics of Structure Formation (1987)

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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...

    R. A. Brown, L. H. Ungar in Modelling of Patterns in Space and Time (1984)