Dependence of elastic properties of materials on their porosity: Review of models

The paper presents a review of models relating elastic moduli of porous materials with porosity. Dry isotropic porous materials with a homogeneous and continuous solid matrix are considered, excluding granular and fractured materials. The models are grouped into six classes, taking into account methodological differences adopted for their derivation. Quantitative predictions for most of the models are compared within specified groups and then a few representatives of the groups of models are analyzed for two different ranges of porosity. A short discussion of their applicability and limitations is included.