Some fractal models of fracture

摘要

The paper deals with applications of fractal geometry methods to problems of fracture in brittle and quasi- brittle materials. Possible ways to construct models, taking into account the fractal properties of the phenomenon, are discussed. It is shown that classical approaches do not work in fractal fracture and lead to the paradoxical conclusion that fractal cracking is impossible. Some new concepts appropriate for fractal fracture are introduced.