Applied alternating method to analyze the stress concentration around interacting multiple circular holes in an infinite domain

Citation
K. Ting et al., Applied alternating method to analyze the stress concentration around interacting multiple circular holes in an infinite domain, INT J SOL S, 36(4), 1999, pp. 533-556
Citations number
17
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
ISSN journal
00207683 → ACNP
Volume
36
Issue
4
Year of publication
1999
Pages
533 - 556
Database
ISI
SICI code
0020-7683(199902)36:4<533:AAMTAT>2.0.ZU;2-R
Abstract
This paper presents an efficient alternating method for analyzing the inter actions among multiple circular holes in a two-dimensional infinite domain. An analytical solution is derived for a single circular hole in an infinit e domain subjected to the arbitrary tractions across the circle boundary to achieve this purpose. This analytical solution correlates with a successiv e iterative superposition process capable of satisfying the prescribed boun dary condition for each circular hole of the problem. In addition, several perforated plate problems are solved to demonstrate the proposed method's v alidity. The computed results and the available referenced solutions closel y corresponds to each other and indicates the method's accuracy and efficie ncy. (C) 1998 Elsevier Science Ltd. All rights reserved.