Stress computations on perforated polygonal domains

Summary, in 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.

• Författare: Jonas Englund; Johan Helsing
• Avdelning/ar: Matematik LTH; Harmonic Analysis and Applications
• Publiceringsår: 2003
• Språk: Engelska
• Sidor: 533-546
• Publikation/Tidskrift/Serie: Engineering Analysis with Boundary Elements
• Volym: 27
• Issue: 5
• Fulltext: - 470 kB; Download statistics
• Länkar: http://dx.doi.org/10.1016/S0955-7997(02)00160-1
• Dokumenttyp: Artikel i tidskrift
• Förlag: Elsevier
• Ämne: Mathematics
• Nyckelord: stress concentration factor; factor; notch stress intensity; holes; multiply connected domain; V-notch; Fredholm integral equation; fast; multipole method
• Status: Published
• Forskningsgrupp: Harmonic Analysis and Applications; Harmonic Analysis and Applications
• ISBN/ISSN/Övrigt: ISSN: 1873-197X