Title Stress computations on perforated polygonal domains
Authors Jonas Englund, Johan Helsing
Alternative Location http://dx.doi.org/10.1016/S..., Restricted Access
Publication Engineering Analysis with Boundary Elements
Year 2003
Volume 27
Issue 5
Pages 533 - 546
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher Elsevier Science B.V.
Abstract English A high order accurate and fast algorithm is constructed for 2D stress problems on multiply connected finite domains. The algorithm is based on a Fredholm integral equation of the second kind with non-singular operators. The unknown quantity is the limit of an analytic function. On polygonal domains there is a trade-off between stability and rate of convergence. A moderate amount of precomputation in higher precision arithmetic increases the stability in difficult situations. Results for a loaded single edge notched specimen perforated with 1170 holes are presented. The general usefulness of integral equation methods is discussed. (C) 2003 Elsevier Science Ltd. All rights reserved.
Keywords stress concentration factor, factor, notch stress intensity, holes, multiply connected domain, V-notch, Fredholm integral equation, fast, multipole method,
ISBN/ISSN/Other ISSN: 0955-7997

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