焼結·粒成長する多孔体組織における相連続性の計算機モデリング

抄録

A Monte Carlo simulation method using a three dimensional lattice was developed to analyze the connectivity of pores in sintered materials. The changes in porosity (f_V), mean grain diameter (D_S), intercept length of pores (D_V), contiguity of the solid phase (C) and fraction of connected pores (f_{V, C}) with the number of Monte Carlo steps (MCS) were analyzed as a function of initial porosity (f_{V, 0}) and initial grain diameter (D_{S, 0}). In many cases, f_{V, C} decreased with MCS down to 0%, particularly at small and intermediate values of f_{V, 0} and D_{S, 0}. However, in some cases of large f_{V, 0} and D_{S, 0}, an f_{V, C} of 100% was maintained irrespective of MCS, which means that all pores may remain connected in the material. Systematic plots of D_V, D_S and C vs f_{V, 0}×f_{V, C}, which indicate the amount (%) of connected pores, are found to be useful for designing sintering and grain growth processes of porous materials.