Multi-Layered Potts Model Simulation of Morphological Changes of the Neck during Sintering in Cu-Ni System

Abstract

A mathematical model is developed in this study to simulate the morphological change of the sintering neck by neck growth and the Kirkendall void formation in the Cu-Ni interdiffusion system. The fluxes of materials and vacancy are analyzed for estimating excessive-deficient vacancy regions. The Multi-Layered Potts Model (MLP Model) is used as the mathematical model. The MLP Model is an improved model of the traditional Potts Model which can treat multiple materials transportation mechanisms such as interdiffusion system. The Potts Model uses a two dimensional (2-d) array to describe a 2-d microstructure, on the contrary, the MLP Model uses a three dimensional (3-d) array which stacks several 2-d arrays. The MLP Model of present study could treat an interdiffusion and an intrinsic diffusion coefficient as a function of the local alloy component. The morphological change and analyzed materials and vacancy fluxes of the simulation results are compared with the experimental results, then good agreements is observed.