Analysis of cracks originating at the boundary of a circular hole in an infinite plate by using a new conformal mapping approach

In this work, we introduce a new conforming mapping method to resolve the problem of cracks emanating from a hole in a linear elastic plate subjected to an in-plane tension. The conformal mapping is exact and simple. Several extensions are possible to resolve this class of problems.

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Podrobná bibliografia
Vydané v:	Applied mathematics and computation Ročník 188; číslo 2; s. 1891 - 1896
Hlavní autori:	Abdelmoula, R., Semani, K., Li, J.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York, NY Elsevier Inc 15.05.2007 Elsevier
Predmet:	Conforming mapping Crack Exact sciences and technology Functions of a complex variable Hole Integral equations Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use Singular integral equation Singular integral equation Hole Conforming mapping Crack Numerical analysis Circular plate Conformal mapping Applied mathematics Singular equation Integral equation Elastic plate
ISSN:	0096-3003, 1873-5649
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Popis
Shrnutí:	In this work, we introduce a new conforming mapping method to resolve the problem of cracks emanating from a hole in a linear elastic plate subjected to an in-plane tension. The conformal mapping is exact and simple. Several extensions are possible to resolve this class of problems.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2006.11.052