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Stress Calculations on Multiply Connected Domains

โœ Scribed by Johan Helsing; Anders Jonsson

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
297 KB
Volume
176
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

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 stability of the approach. The stress field is resolved with a relative error of less than 10 -10 on a large, yet simply reproducible, setup with a loaded square plate containing 4096 holes and cracks. Comparison with previous results in the literature indicates that general-purpose finite-element software may perform better than many specialpurpose codes.

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