Materials Transactions Online

Materials Transactions, Vol.45 No.03 (2004) pp.972-975
© 2004 The Japan Institute of Metals

Fractal Characteristics of the Solidification Process

Maricel Agop1,2,4, Pavlos Ioannou1, Petru Nica1,2, Cristina Radu2, Adrian Alexandru3 and Petre Vizureanu3

1Department of Physics, University of Athens, Athens 15771, Greece
2Department of Physics, Technical ``Gh. Asachi'' University, Iasi 6600, Romania
3Faculty of Materials Science and Engineering, Technical ``Gh. Asachi'' University, Iasi 6600, Romania
4Address for correspondence: Stradela Florilor, nr. 2, Iasi-6600, Romania, E-mail: pnica@ch.tuiasi.ro

Assimilating the solid-liquid interface to a binary domain described by a set of coupled equations, one studies the solidification process. The numerical solutions of the thermal breather, the thermal breather pair and the thermal cluster type are associated to a virtual crystallization germ, a stable crystallization germ and a crystalline grain, respectively. The fractal characteristics of the solidification process are analyzed by means of fractal dimension dynamics.

(Received 2003/11/4; Accepted 2004/1/21)

Keywords: solid-liquid interface, solidification process, crystallization, fractal

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