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Article: Multiple rigid line problems in an infinite plate

TitleMultiple rigid line problems in an infinite plate
Authors
Issue Date1989
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmech
Citation
Engineering Fracture Mechanics, 1989, v. 34 n. 2, p. 379-391 How to Cite?
AbstractThe elastic analysis of the multiple rigid line problem in an infinite plate under the action of remote stresses is presented in this paper. It is assumed that the rigid lines are in a floating state, in other words, there are no resultant forces and moment applied on the lines. To solve the proposed problem, an elementary solution is derived and presented. The elementary solution is a particular solution of the infinite plate containing a single rigid line. In the elementary solution, the remote stresses and rotation are equal to zero and on the line the displacements are taken as Heaviside unit function and the rotation of the line, or the derivatives of displacements along the line are taken as Dirac delta function plus some constant. Using the obtained elementary solution and the principle of superposition, we found that the multiple rigid line problem can be easily converted into a system of Fredholm integral equations. Finally, the system is solved numerically and the stress singularity coefficients at the line tips can be easily calculated. Several numerical examples are given. © 1989.
Persistent Identifierhttp://hdl.handle.net/10722/149928
ISSN
2015 Impact Factor: 2.024
2015 SCImago Journal Rankings: 1.423

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_US
dc.contributor.authorChen, YZen_US
dc.date.accessioned2012-06-26T06:00:36Z-
dc.date.available2012-06-26T06:00:36Z-
dc.date.issued1989en_US
dc.identifier.citationEngineering Fracture Mechanics, 1989, v. 34 n. 2, p. 379-391en_US
dc.identifier.issn0013-7944en_US
dc.identifier.urihttp://hdl.handle.net/10722/149928-
dc.description.abstractThe elastic analysis of the multiple rigid line problem in an infinite plate under the action of remote stresses is presented in this paper. It is assumed that the rigid lines are in a floating state, in other words, there are no resultant forces and moment applied on the lines. To solve the proposed problem, an elementary solution is derived and presented. The elementary solution is a particular solution of the infinite plate containing a single rigid line. In the elementary solution, the remote stresses and rotation are equal to zero and on the line the displacements are taken as Heaviside unit function and the rotation of the line, or the derivatives of displacements along the line are taken as Dirac delta function plus some constant. Using the obtained elementary solution and the principle of superposition, we found that the multiple rigid line problem can be easily converted into a system of Fredholm integral equations. Finally, the system is solved numerically and the stress singularity coefficients at the line tips can be easily calculated. Several numerical examples are given. © 1989.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmechen_US
dc.relation.ispartofEngineering Fracture Mechanicsen_US
dc.titleMultiple rigid line problems in an infinite plateen_US
dc.typeArticleen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0024898128en_US
dc.identifier.volume34en_US
dc.identifier.issue2en_US
dc.identifier.spage379en_US
dc.identifier.epage391en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridChen, YZ=11043431200en_US

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