Cascade continuum micromechanics model for the effective permeability of solids with distributed microcracks: Self-similar mean-field homogenization and image analysis
Application of a self-similar mean-field homogenization approach for the effective permeability of microcracked materials that predicts a physically consistent effective permeability with a percolation threshold. The proposed cascade continuum micromechanics model provides a new link between self-similarity and the self-consistent concept. Image based numerical analysis of the percolation of microcracks confirms a fractal self-similar microcrack network around the percolation threshold predicted by the homogenization scheme.