Calculations of J integrals around fractal defects in plates

摘要

This paper presents a method of analyzing fractal defects based on numerical calculations of J integrals. Two different constructions of fractal approximations are taken into consideration together with a comparison of the stability of the numerical simulations in both cases. The value of J integral provides information about the energy concentrated on the defect. The result was used to examine the relation between the energy and the measure of he defect. The simplest model indicates this relation to be linear. Nonetheless, the presented results suggest that not only the measure of the defect but also its orientation and configuration play a significant role in the energy distribution on the defect boundaries.