Multifractal fracture geometry and the scale effect
Abstract
The effect of body dimensions on the material strength of the body is described by the equation sigmap equals V exp 1/m, where sigmap is the material strength; V is the characteristic fractured volume; and m is the scale effect. The latter can be directly related to fractal characteristics of the body and fracture by the relationship m = 6/3D, where D is the fractal dimension of the crack surface. In this paper, the effect of inhomogeneity on the scale effect is reexamined, and a new equation relating the dimensions of the fracture to the dimensionality of the body is obtained.
 Publication:

Rossijskaya Akademiya Nauk Doklady
 Pub Date:
 April 1993
 Bibcode:
 1993RoDok.329..429G
 Keywords:

 Cracking (Fracturing);
 Failure Analysis;
 Scale Effect;
 Volumetric Strain;
 Fracture Mechanics;
 Microcracks;
 Power Series;
 Structural Mechanics