Simulation of Two-Dimensional Polycrystalline Material by using Monte Carlo Approach


Rajendra P†*, Phaneesh K R†, Prakrathi S†, Madeva Nagaral‡


†Faculty, Dept. of Mechanical Engineering, Ramaiah Institute of Technology, Bangalore – 560054
‡Deputy Manager, Aircraft Research and Design Centre, HAL, Bangalore – 560037

Corresponding Author Email: rajendrap@msrit.edu

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Microstructure evaluation is one of the key element to determine the properties and performance of a material which has been great eternal towards humanity and industrial applications. The present research work aims to study the grain growth kinetics influenced by various second phase particles and also homogeneity of the grains using Potts model under the Monte Carlo simulation method. A 2D square lattice with optimum matrix size (N), Q-States (Q), and MCS was employed. The mean grain size (Rmean) and maximum grain size R(max) was determined for various surface fractions, implying average grain growth and microstructure consistency. The results are found to be in complete harmony with the proven theoretical and simulated values. The average size of the grains under the influence of particles was found to obey the square root dependence.