Modeling and Simulation of Nucleation and Growth Transformations with Nucleation on Interfaces of Kelvin Polihedra Network

Abstract:

Nucleation is a phenomenon associated to the start of the new phase, from a primary phase, named matrix. Growth is the increase in size of this new phase over time. In metallic materials, the nucleation may take place on the grain boundaries of the primary phase. A network of Kelvin polyhedra was used in this paper to represent the grains. A computer simulation was performed in which nucleation took places at the faces, edges and vertices of this polyhedral network. The Causal cone method was employed in the simulations. The results of the present computational simulations were compared with the classical Johnson Mehl-Avrami-Kolmogorov (JMAK) as well as with Cahn model for nucleation at the grain boundaries. JMAK theory considers nuclei to be uniform randomly located within the matrix. Cahn analytical model specifies that nucleation takes place on random planes. For a small number of nuclei, the simulations approached the JMAK model whereas as the number of nuclei increased the simulation results agree with Cahn's theory. Reasons for this are fully discussed.

• Periodical: Materials Science Forum (Volume 930)
• Pages: 299-304
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.930.299
• Online since: September 2018
• Authors: Guilherme Dias da Fonseca, André Luiz Moraes Alves, Marcos Felipe Braga da Costa, Mariana Sizenando Lyrio, Weslley L.S. Assis, Paulo Rangel Rios
• Keywords: Computer Simulation, Formal Kinetics, Grain Boundaries, Kelvin Polyhedron, Phase Transformations

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