Numerical Simulation of Current Distribution in 2D Polycrystalline Material Using Monte Carlo Method

Polycrystalline materials consist of crystalline grains whose electrical properties may vary due to grain size, orientation, and intragranular boundaries, causing non-uniform current distribution. This study employs Monte Carlo Method to simulate current distribution trend in polycrystalline materials, utilizing its ability of analyzing system with a high degree of complexity and randomness. A simplified 2D resistive network is used to model grains within polycrystalline material, and Kirchhoff's Current Law is used to solve mesh-loop currents. The simulations highlight the variability in current distribution caused by inhomogeneity of grain properties. The results revealed that contact interface inhomogeneity significantly impacts internal current distribution statistics, and that improved bulk phase homogeneity increases susceptibility to concentrated current distribution caused by contact/interface inhomogeneity. These findings emphasize the need to consider material quality of both bulk phase and contact layer when optimizing the electrical performance of polycrystalline materials.