Modeling Solidification and Grain Structures in Electroslag Remelting Chris Szczepanski Advisor: Prof. Krane August 1, 2002

Recap – Phase 1 Monte Carlo method determines solidification based on interfacial energy Monte Carlo method with temperature dependence

Video of Isotherm MC

Recap – Phase 2 Cellular Automaton method determines depression of the liquidus temperature based on curvature

Δx/Δt ratio This determines the rate of solidification Large Ratio – s/l interface travels closer to liquidus isotherm Too small – solidification front can’t keep up

Δx/Δt Ratio Cooled walls will not be able to pull heat out at as fast as melting temp isotherm moves Solid-liquid interface will close in on T m

Results Solid-liquid interface will close in on T m

Undercooling

Temperature Gap

Grain Density

A o Studies

Future Studies More in-depth analysis of Δx/Δt ratio Analysis of physical basis for various constants Crystallographic orientation model