Applications of self-defined arrays for pattern-forming alloy solidification

摘要: Abstract In this paper, we consider a pattern-forming solidification problem involving self-defined arrays (SDAs). These SDAs originate from an iterated function system (IFS) and are imposed on the moving boundary so that microstructures evolve as prescribed shape attractors during advance of phase boundary. generated application geometric rule requiring pth iterate given array to be defined in terms (p−1)th iterate. study, use based Cantor middle-third fractal set generate SDA for isolated dendrite microstructure. We apply notion change where mass-flow creates geometry results