Elastic Modulus‐Porosity Relation in Polycrystalline Rare‐Earth Oxides

Many equations have been previously proposed to describe the elastic modulus‐porosity relation of brittle solids. The equations arc not applicable to all materials over a wide range of porosity. A new equation representing elastic modulus‐porosity relation of brittle solids has been proposed. It has been shown that the proposed equation describes best the Young's modulus‐porosity data of six rare‐earth oxides over a wide range of porosity reported by previous investigators. The equation suggests that there was some kind of ordered packing in all the oxides.