The BEM in plates with boundaries of fractal geometry

被引：2
|
作者：
Panagiotopoulos, PD
Panagouli, OK
机构：
[1] Department of Civil Engineering, Aristotle University, Thessaloniki
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 1996年 / 17卷 / 02期
关键词：
boundary element method; boundary integral equation; fractal geometry; fractal boundary; plate bending;
D O I：
10.1016/0955-7997(96)00011-2
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The aim of the present paper is to investigate the influence of the fractal geometry on the stress and displacement fields in plate bending problems by using a boundary element 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 iterated function system. It is an iterative method which approximates the fractal boundary by classical C-1 curves in order to avoid singularities. The method proposed may be seen as an extension of the classical BIEM to the case of plates having boundaries of fractal geometry. Copyright (C) 1996 Elsevier Science Ltd.
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页码：153 / 160
页数：8
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