Evolution of Individual Grains in 3d Microstructure Generated by Computational Simulation of Transformations Involving Two Phases

Abstract

In the phase transformations of the solid state, situations can occur in which the initial phase transform forming two or more distinct phases. The exact mathematical model for situations where more than one transformation occurs simultaneously or sequentially was proposed by Rios and Villa. The computational simulation was used to study the evolution and visualization of the possible microstructures that these transformations may present. The causal cone methodology was adopted. The simulations were compared with the analytical model to ensure that they occur as expected. The growth of individual grains of each phase was monitored in 3D microstructure evolution. With this monitoring, was possible to extract useful data able to quantify the simulated 3D microstructure. Quantifying the simulated microstructures increase the possibility of the simulations give to the experimentalist insights about the transformations. In this paper, it is verified that each grain evolves in an individual way, as expected, however their growth is similar.

Computational simulation of gliomas using stochastic methods

“…Another specific advantage for this work was to have a discrete model already validated by CCM prepared to simulate nucleation and growth. The base of the computational code whose Causal Cone Method was previously implemented and publicized in other works of international journals (Alves et al 2018;da Fonseca et al 2018;Ventura et al 2018) was also used to develop part of the numerical model proposed in this study. At each iteration a new radius value is calculated, thus, the glioma evolves as a function of the discrete time also known as step.…”