Elastic Properties of Model Porous Ceramics

TLDR

The study offers simple formulas to predict the elastic properties of ceramics and to interpret empirical property–porosity relationships in terms of pore shape and structure. Finite‑element simulations were performed to examine how porosity and pore shape affect the elastic behavior of model porous ceramics, and the resulting formulas were derived from these analyses. The simulations show that Young’s modulus is largely independent of the solid Poisson’s ratio, that the porous Poisson’s ratio converges to a fixed value at high porosity, and that the predicted moduli agree well with experimental measurements.

Abstract

The finite‐element method (FEM) is used to study the influence of porosity and pore shape on the elastic properties of model porous ceramics. Young's modulus of each model is practically independent of the solid Poisson's ratio. At a sufficiently high porosity, Poisson's ratio of the porous models converges to a fixed value independent of the solid Poisson's ratio. Young's modulus of the models is in good agreement with experimental data. We provide simple formulas that can be used to predict the elastic properties of ceramics and allow the accurate interpretation of empirical property–porosity relations in terms of pore shape and structure.