Computer Simulation of Final‐Stage Sintering: II, Influence of Initial Pore Size

Abstract

A two-dimensional Monte Carlo simulation procedure has been used to investigate the effect of the initial pore size on the microstructural evolution and the kinetics of final-stage sintering. The sintering time scales with rt/Dgb and the grain-growth time scales with ri/D,,,. Pores are found to effectively pin the grain boundaries from the beginning of final-stage sintering at a porosity of 6 = 0.09 until 6 = 0.03.For 6 I 0.03, the remaining pores do not effectively retard grain-boundary migration and normal grain growth occurs. Small pores were found to be less effective at retarding grain growth than expected on the basis of a simple graingrowth pinning model. The mean pore size was found to be nearly constant throughout the simulations. [

Numerical Simulation of Fabrication for Ceramic Tool Materials

“…It is proved that the simulation results of different Q are nearly indistinguishable from each other when Q>50 is used (Hassold et al, 1990). The simulation time is expressed in term of the number of Monte Carlo Steps (MCS).…”

“…In order to keep the same total number of pore sites and grain sites throughout the simulation in the simulation system, pore migration is simulated using conserved dynamics (Hassold et al, 1990). …”

“…Because of no assumption of the particle shape, the model can be properly used to simulate the mass-transport mechanisms. Computer simulation of finalstage sintering process of ceramics is initially developed by Hassold G N with Monte Carlo Potts' model (Hassold et al, 1990;Chen et al, 1990;Tikare & Holm, 1998). Tikare V et al (Tikare et al, 2003) simulated the densification of ceramic sintering processes with Monte Carlo Potts' model, which is coupled with vacancy-annihilation method.…”

“…The twodimensional Monte Carlo grain-growth simulation methods, firstly developed by Srolovitz and co-workers Srolovitz et al, 1984), is lately extended into the three dimensional simulation. Monte Carlo Potts' model is largely applied to simulate the solidphase sintering process of ceramics (Hassold et al, 1990;Chen et al, 1990;Tikare & Holm, 1998;Tikare et al, 2003) . Because of no assumption of the particle shape, the model can be properly used to simulate the mass-transport mechanisms.…”

Monte Carlo Simulations of Grain Growth in Polycrystalline Materials Using Potts Model

“…During the simulation of the structure development of the materials with the presence of dynamical pores, we considered simultaneously the energy balance point of view of solid particles sites as well as the direction of the pores motion aspect [31], [33][34][35]. In other words along with the simulation of the grain growth through the use of the above given procedures we have to simulate the migration of pores as well.…”