焼結アルミナのＸ線的弾性定数に及ぼす気孔の影響に関するマイクロメカニックスによる解析

Abstract

The effect of porosity on the elastic constants for X-ray stress analysis in sintered alumina was analyzed on the basis of four micromechanics models: Reuss' model, Voigt's model, Mori-Tanaka's model (MT model) and Self-consistent model (SC model). The X-ray elastic constant E'X/(1+v'X(E'X=Young's modulus, v'X=Poisson's ratio) decreases with decreasing bulk density or increasing porosity. SC model gives the best prediction for the effect of bulk density on the X-ray elastic constants. The prediction based on SC model requires the mechanical elastic constants of sintered alumina as a composite and the X-ray elastic constants of diffracting phases. It is not necessary to know the properties of secondary phases. When the mechanical elastic constants are not known, the bulk density can be used to estimate the X-ray elastic constants of ceramics.