A review of experimental and theoretical investigations of fracture of brittle and plastic solids and media is presented. The investigations irrefutably testify the hierarchy and self-similarity of their deformation and fracture. It is shown that the principle of infinite divisibility of geomaterials and geomedia can be extended to meso and micro scales where self-similarity of their destruction, determined for macroobjects, is preserved [
]. It is also shown that this principle can be applied to plastic materials and media.