Introduction of infinitely many solid phases in continuum micromechanical representations of hierarchical porous media, in combination with rigorous consideration of free strains and stresses (which arise in the material microstructures as plastic or viscous strains, or as pore pressures) turned out as the major key to providing reliable (" nano-micro-macroscopic " or " micro-meso-macroscopic ") structure-mechanical property predictions of complex material systems such as concrete, wood, bone, porous ceramics, or paper.