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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| Veröffentlicht in: | Applied mathematics and computation Jg. 188; H. 2; S. 1891 - 1896 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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New York, NY
Elsevier Inc
15.05.2007
Elsevier |
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| ISSN: | 0096-3003, 1873-5649 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Semani, K. Li, J. Abdelmoula, R. |
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| Cites_doi | 10.1016/0022-5096(64)90017-1 10.1007/BF00034709 10.1017/S0305004100003650 |
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| Keywords | Singular integral equation Hole Conforming mapping Crack Numerical analysis Circular plate Conformal mapping Applied mathematics Singular equation Integral equation Elastic plate |
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| References | Bowie (bib1) 1956 Muskhelishvili (bib6) 1963 Dundurs, Mura (bib3) 1964; 12 List (bib4) 1969; 65 Erdogan, Gupta (bib5) 1975; 11 J.C. Newman, NASA Report, TND-6367, 1971. Erdogan (10.1016/j.amc.2006.11.052_bib5) 1975; 11 10.1016/j.amc.2006.11.052_bib2 List (10.1016/j.amc.2006.11.052_bib4) 1969; 65 Muskhelishvili (10.1016/j.amc.2006.11.052_bib6) 1963 Bowie (10.1016/j.amc.2006.11.052_bib1) 1956 Dundurs (10.1016/j.amc.2006.11.052_bib3) 1964; 12 |
| References_xml | – volume: 12 start-page: 177 year: 1964 end-page: 189 ident: bib3 article-title: Interaction between an edge dislocation and a circular inclusion publication-title: J. Mech. Phys. Solids – volume: 65 start-page: 823 year: 1969 end-page: 830 ident: bib4 article-title: A two-dimensional circular inclusion problem publication-title: Proc. Camb. Phil. Soc. – year: 1963 ident: bib6 article-title: Some Basic Problems of the Mathematical Theory of Elasticity – volume: 11 start-page: 13 year: 1975 end-page: 27 ident: bib5 article-title: The inclusion problem with a crack crossing the boundary publication-title: Int. J. Fracture – start-page: 35 year: 1956 end-page: 60 ident: bib1 article-title: Analysis of an infinite plate containing radial cracks originating at the boundary of an internal circular hole publication-title: J. Math. Phys. – reference: J.C. Newman, NASA Report, TND-6367, 1971. – ident: 10.1016/j.amc.2006.11.052_bib2 – volume: 12 start-page: 177 year: 1964 ident: 10.1016/j.amc.2006.11.052_bib3 article-title: Interaction between an edge dislocation and a circular inclusion publication-title: J. Mech. Phys. Solids doi: 10.1016/0022-5096(64)90017-1 – volume: 11 start-page: 13 year: 1975 ident: 10.1016/j.amc.2006.11.052_bib5 article-title: The inclusion problem with a crack crossing the boundary publication-title: Int. J. Fracture doi: 10.1007/BF00034709 – start-page: 35 year: 1956 ident: 10.1016/j.amc.2006.11.052_bib1 article-title: Analysis of an infinite plate containing radial cracks originating at the boundary of an internal circular hole publication-title: J. Math. Phys. – volume: 65 start-page: 823 year: 1969 ident: 10.1016/j.amc.2006.11.052_bib4 article-title: A two-dimensional circular inclusion problem publication-title: Proc. Camb. Phil. Soc. doi: 10.1017/S0305004100003650 – year: 1963 ident: 10.1016/j.amc.2006.11.052_bib6 |
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| SubjectTerms | 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 |
| Title | Analysis of cracks originating at the boundary of a circular hole in an infinite plate by using a new conformal mapping approach |
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