Effect of pore characteristic on the percolation threshold and diffusivity of porous media comprising overlapping concave-shaped pores

A Universal Method for Modeling and Characterizing Non-Circular Packing Systems Based on n-Point Correlation Functions

“…By using the Poisson limit theorem in statistics, the total inclusion rate for a penetrable system has the quantitative relationship between the inclusion rate and the inclusion number [ 8 ]. In this paper, these inclusions can be expressed by particles; thus, the packing fraction and the particle number have the following relationships when .…”

“…Cement paste, mortar or aggregate can be simulated as two-phase particulate material at different scales [ 3 , 4 , 5 , 6 ]. The particulate structure can be either a solid phase [ 7 ] (impenetrable model) or a porous phase [ 8 ] (penetrable model) accordingly.…”

Multi-scale modeling of the chloride diffusivity and the elasticity of Portland cement paste

“…Statistical physical studies confirm that the connectivity of the phases, characterized by their percolation thresholds, strongly depends on the shape of the particles [30][31][32][33] but also indicate that it depends on the particles size distribution (PSD) [34,35], which is not accounted for by the self-consistent scheme. Indeed, while statistical physical studies provide accurate values of the percolation thresholds on explicit morphological models, the self-consistent scheme in which the morphology is implicitly accounted for provides only "poor man's percolation" [33].…”

Percolation threshold and electrical conductivity of conductive polymer composites filled with curved fibers in two-dimensional space

“…The size of the CDCR is defined by its equivalent radius, R eq , which is the radius of the circle with the same area as the CDCR. [35][36][37] Therefore, the diameter of the semi-circular cap can be calculated by the relationship, as expressed by eqn (5).…”