Reinforcement of a plate weakened by multiple holes with several patches for different types of plate-patch attachment

Handle URI:
http://hdl.handle.net/10754/599490
Title:
Reinforcement of a plate weakened by multiple holes with several patches for different types of plate-patch attachment
Authors:
Zemlyanova, A.
Abstract:
The most general situation of the reinforcement of a plate with multiple holes by several patches is considered. There is no restriction on the number and the location of the patches. Two types of patch attachment are considered: only along the boundary of the patch or both along the boundary of the patch and the boundaries of the holes which this patch covers. The unattached boundaries of the holes may be loaded with given in-plane stresses. The mechanical problem is reduced to a system of singular integral equations which can be further reduced to a system of Fredholm equations. A new numerical procedure for the solution of the system of singular integral equations is proposed in this paper. It is demonstrated on numerical examples that this procedure has advantages in the case of multiple patches and holes and allows achievement of better numerical convergence with less computational effort.
Citation:
Zemlyanova A (2014) Reinforcement of a plate weakened by multiple holes with several patches for different types of plate-patch attachment. Mathematics and Mechanics of Solids 21: 281–294. Available: http://dx.doi.org/10.1177/1081286513519812.
Publisher:
SAGE Publications
Journal:
Mathematics and Mechanics of Solids
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
24-Jan-2014
DOI:
10.1177/1081286513519812
Type:
Article
ISSN:
1081-2865; 1741-3028
Sponsors:
This work was supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorZemlyanova, A.en
dc.date.accessioned2016-02-28T05:52:05Zen
dc.date.available2016-02-28T05:52:05Zen
dc.date.issued2014-01-24en
dc.identifier.citationZemlyanova A (2014) Reinforcement of a plate weakened by multiple holes with several patches for different types of plate-patch attachment. Mathematics and Mechanics of Solids 21: 281–294. Available: http://dx.doi.org/10.1177/1081286513519812.en
dc.identifier.issn1081-2865en
dc.identifier.issn1741-3028en
dc.identifier.doi10.1177/1081286513519812en
dc.identifier.urihttp://hdl.handle.net/10754/599490en
dc.description.abstractThe most general situation of the reinforcement of a plate with multiple holes by several patches is considered. There is no restriction on the number and the location of the patches. Two types of patch attachment are considered: only along the boundary of the patch or both along the boundary of the patch and the boundaries of the holes which this patch covers. The unattached boundaries of the holes may be loaded with given in-plane stresses. The mechanical problem is reduced to a system of singular integral equations which can be further reduced to a system of Fredholm equations. A new numerical procedure for the solution of the system of singular integral equations is proposed in this paper. It is demonstrated on numerical examples that this procedure has advantages in the case of multiple patches and holes and allows achievement of better numerical convergence with less computational effort.en
dc.description.sponsorshipThis work was supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherSAGE Publicationsen
dc.titleReinforcement of a plate weakened by multiple holes with several patches for different types of plate-patch attachmenten
dc.typeArticleen
dc.identifier.journalMathematics and Mechanics of Solidsen
dc.contributor.institutionDepartment of Mathematics, Kansas State University, Manhattan, KS, USAen
kaust.grant.numberKUS-C1-016-04en
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