The B.E.M. in plane elastic bodies with cracks and/or boundaries of fractal geometry

摘要

The scope of the present paper is to present a method which examines the influence of the fractal geometry on the stress and strain fields in cracked plane elastic bodies through a B.E. scheme combined with an iterative approximation procedure. The method proposed here is based on the description of the fractal as the attractor of a deterministic or a random iterated function system. It is an iterative method which approximates the fractal boundary by classical C~1-curves in order to avoid additional singularities. The method proposed may be seen as an extension of the classical B.I.E.M. to the case of bodies having cracks and/or boundaries of fractal geometry.