Evaluation and extension of physical property-porosity models based on minimum solid area

Abstract

Physical property-porosity models based on minimum solid areas of idealized stackings of either: (1) spherical particles partially bonded (e.g. sintered), or (2) spherical pores in a solid matrix are shown to agree with appropriate physical property data for bodies whose porosity is reasonably represented by such stackings. Appropriate physical properties are those determined mainly by local stress or flux, e.g. elastic properties, strengths, and electrical and thermal conductivity. The minimum solid areas are, respectively, the: (1) bond (e.g. neck) area between particles defining pores smaller than the particles, or (2) minimum web thickness between adjacent pores being more than or equal to the surrounding particles (e.g. bubbles in a foam). Combinations of the models for mixtures of basic porosity types and changes in basic model parameters (e.g. stacking) over the significant porosity range covered, are shown to agree with the literature (mainly mechanical) property data for bodies of appropriate porosity combinations. Areas of further development and testing are noted.