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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Bibliographic Details
Published in:Applied mathematics and computation Vol. 188; no. 2; pp. 1891 - 1896
Main Authors: Abdelmoula, R., Semani, K., Li, J.
Format: Journal Article
Language:English
Published: New York, NY Elsevier Inc 15.05.2007
Elsevier
Subjects:
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
Online Access:Get full text
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Description
Summary: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