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The Cruciform Crack Problem and Sigmoidal Transformations
A sigmoidal transformation is an S-shaped one-to-one mapping of a compact interval onto itself. Various sigmoidal transformations are discussed, some of which are used to find approximate solutions of an integral equation, with a fixed singularity, arising from a problem in elasticity. In particular it is shown that, in this context, a sigmoidal transformation due to Sidi gives the best results.
History
Publication title
Mathematical Methods in Applied SciencesVolume
20Pagination
121-132ISSN
0170-4214Department/School
School of Natural SciencesPublisher
John Wiley & Sons LtdPlace of publication
The Atrium, Southern Gate, Chichester, England, W Sussex, Po19 8SqRepository Status
- Restricted