Journal of Materials Science, Vol.33, No.1, 69-72, 1998
Young's modulus-porosity relations : an analysis based on a minimum contact area model
The Young's modulus-porosity relation of porous ceramic materials has been analysed based on a minimum solid area of contact model. The minimum solid area of contact developed during sintering of an assembly of monosized spheres stacked in simple cubic packing is calculated by approximating the neck area by two sine-wave functions. The first function represents the shape of a sphere and the second function signifies the shape of the neck between neighbouring spheres. The model shows excellent agreement with 12 sets of relative Young's modulus, E/E-0, versus pore volume fraction, P, data from literature on five different polycrystalline ceramic oxides, namely Lu2O3, Sm2O3, Yb2O3, Al2O3 and ThO2, whose porosities are reasonably represented by such idealized packing.