Stress calculations on multiply connected domains

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Abstract

The outstanding problem of finding a simple Muskhelishvili-type integral equation for stress problems on multiply connected domains is solved. Complex potentials are represented in a way which allows, for the incorporation of cracks and inclusions. Several numerical examples demonstrate the generality and extreme stablity of the approach. The stress field is resolved with a relative error of less than 10(-10) on a large, yet simple reproducible, setup with a loaded square plate containing 4090 holes and cracks, Comparison with previous results in the literature indicates that general-purpose finite-element software may perform better than many special-purpose codes. (C) 2002 Elsevier Science (USA).

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Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • method, Fredholm integral equation, fast multipole, cracks, multiply connected domains, holes, stress concentration factor, stress intensity factor
Original languageEnglish
Pages (from-to)456-482
JournalJournal of Computational Physics
Volume176
Issue number2
Publication statusPublished - 2002
Publication categoryResearch
Peer-reviewedYes

Bibliographic note

The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)

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