Supplementing Phase Field Methods with Crystallographic Orientation

Professor W. Craig Carter

Massachusetts Institute of Technology

September 21,



I will describe some recent work with R. Kobayashi of Hokkaido and J. Warren of NIST where an orientation field is introduced into phase field calculations of solidification and impingement of a polycrystal from its melt. It will be shown how rotational invariance of the homogeneous part of the free energy functional requires a non-analytic form of the gradient energy for localized and stable grain boundaries. Computational results will illustrate the utility of the orientation field; they include effects such as colliding dendrites and simultaneous grain boundary evolution in a second phase during the growth of the second phase.

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