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Elastic Properties of Model Porous Ceramics.

pdf icon Elastic Properties of Model Porous Ceramics. (1335 K)
Roberts, A. P.; Garboczi, E. J.

Journal of the American Ceramic Society, Vol. 83, No. 12, 3041-3048, 2000.


ceramics; finite element method; pores; Poisson's ratio; Young's modulus


The finite element method (FEM) is used to study the influence of porosity and pore shpae on the elastic properties of model porous ceramics. We use the FEM to measure the Young's modulus and Poisson's ratio of models with three different kinds of pores: overlapping spherical pores, overlapping ellipsoidal pores, and overlapping solid spheres. The Young's modulus of each model can be epxressed as a simple function of porosity, and was found in each case to be independent of the solid Poisson's ratio. At a sufficiently high porosity the Poisson's ratio of the porous models converged to a fixed value independent of the solid Poisson's ratio. The FEM results were in good agreement with experimental data when the model morphology closely mimicked the actual ceramic microstructure. The results 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.