78 citations · 78 across the 2 of their papers we have counts for
3 papers · 1 filter
Competition between Surface Energy and Elastic Anisotropies in the Growth of Coherent Solid State Dendrites
Michael Greenwood, Jeffrey J. Hoyt, Nikolas Provatas
A new phase field model of microstructural evolution is presented that includes the effects of elastic strain energy. The model's thin interface behavior is investigated by mapping…
Adaptive mesh computation of polycrystalline pattern formation using a renormalization-group reduction of the phase-field crystal model
Badrinarayan P. Athreya, Nigel Goldenfeld, Jonathan A. Dantzig +2
We implement an adaptive mesh algorithm for calculating the space and time dependence of the atomic density field during materials processing. Our numerical approach uses the syste…
Crossover Scaling of Wavelength Selection in Directional Solidification of Binary Alloys
Michael Greenwood, Mikko Haataja, Nikolas Provatas
We simulate dendritic growth in directional solidification in dilute binary alloys using a phase-field model solved with an adaptive-mesh refinement. The spacing of primary branche…