File Download
There are no files associated with this item.
Supplementary

Citations:
 Scopus: 0
 Appears in Collections:
Article: Multiple rigid line problems in an infinite plate
Title  Multiple rigid line problems in an infinite plate 

Authors  
Issue Date  1989 
Publisher  Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmech 
Citation  Engineering Fracture Mechanics, 1989, v. 34 n. 2, p. 379391 How to Cite? 
Abstract  The 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 Identifier  http://hdl.handle.net/10722/149928 
ISSN  2015 Impact Factor: 2.024 2015 SCImago Journal Rankings: 1.423 
DC Field  Value  Language 

dc.contributor.author  Cheung, YK  en_US 
dc.contributor.author  Chen, YZ  en_US 
dc.date.accessioned  20120626T06:00:36Z   
dc.date.available  20120626T06:00:36Z   
dc.date.issued  1989  en_US 
dc.identifier.citation  Engineering Fracture Mechanics, 1989, v. 34 n. 2, p. 379391  en_US 
dc.identifier.issn  00137944  en_US 
dc.identifier.uri  http://hdl.handle.net/10722/149928   
dc.description.abstract  The 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.language  eng  en_US 
dc.publisher  Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmech  en_US 
dc.relation.ispartof  Engineering Fracture Mechanics  en_US 
dc.title  Multiple rigid line problems in an infinite plate  en_US 
dc.type  Article  en_US 
dc.identifier.email  Cheung, YK:hreccyk@hkucc.hku.hk  en_US 
dc.identifier.authority  Cheung, YK=rp00104  en_US 
dc.description.nature  link_to_subscribed_fulltext  en_US 
dc.identifier.scopus  eid_2s2.00024898128  en_US 
dc.identifier.volume  34  en_US 
dc.identifier.issue  2  en_US 
dc.identifier.spage  379  en_US 
dc.identifier.epage  391  en_US 
dc.publisher.place  United Kingdom  en_US 
dc.identifier.scopusauthorid  Cheung, YK=7202111065  en_US 
dc.identifier.scopusauthorid  Chen, YZ=11043431200  en_US 