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

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Abstract

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.

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Authors and Affiliations

  1. Department of Civil Engineering, Aristotle University, GR-54006, Thessaloniki, Greece

    P. D. Panagiotopoulos, O. K. Panagouli & E. K. Koltsakis

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  1. P. D. Panagiotopoulos
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  2. O. K. Panagouli
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  3. E. K. Koltsakis
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Additional information

Communicated by H. Antes and T. A. Cruse, 7 July 1994

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Panagiotopoulos, P.D., Panagouli, O.K. & Koltsakis, E.K. The B.E.M. in plane elastic bodies with cracks and/or boundaries of fractal geometry. Computational Mechanics 15, 350–363 (1995). https://doi.org/10.1007/BF00372273

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