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Article: Dual reciprocity hybrid boundary node method for 2-D elasticity with body force
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TitleDual reciprocity hybrid boundary node method for 2-D elasticity with body force
 
AuthorsYan, F2
Wang, YH2
Tham, LG1
Cheung, YK1
 
KeywordsBody Force
Dual Reciprocity Method
Fundamental Solution
Hybrid Boundary Node Method
Particular Solution
Radial Basis Function
 
Issue Date2008
 
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/enganabound
 
CitationEngineering Analysis With Boundary Elements, 2008, v. 32 n. 9, p. 713-725 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.enganabound.2007.11.013
 
AbstractA boundary-type meshless method named dual reciprocity hybrid boundary node method (DRHBNM) is presented. It can be applied to solve elasticity problems with body force, centrifugal load, or other similar problems. In this method, the solution comprises two parts, i.e., the general solution and the particular solution. The general solution is solved by the hybrid boundary node method (HBNM), and the particular one is obtained by the dual reciprocity method (DRM). This method extends the Kelvin fundamental solution for static elastic problems without body force to non-homogeneous problems with body or inertial forces. A modified variational formulation is applied to form the discrete equations of HBNM. The moving least squares (MLS) are employed to approximate the boundary variables, while the domain variables are interpolated by the classical fundamental solution. The particular solution for the body force is obtained by DRM, and the integration in the domain is interpolated by the radial basis function. The proposed method retains the characteristics of the meshless method. At the same time, it employs the fundamental solution as in the boundary element method (BEM). Therefore, this method has the advantages of both meshless method and BEM. It does not require a 'boundary element mesh', either for the purpose of interpolation of the solution variables, or for the integration of the 'energy'. The points in the domain are used only to interpolate particular solutions by the radial basis function and it is not necessary for the integration and approximation of the solution variables. Finally, the boundary solution variables are interpolated by the independent smooth segment boundary. As special treatments for corners are not required, it can obtain accurate boundary tractions for non-smooth boundaries. Numerical examples of 2-D elasticity problems with body force are used to demonstrate the versatility of the method and its fast convergence. The computational results for unknown variables are accurate. Also, the variable parameters have little influence on the results and can be changed in wide ranges. It is shown that the present method is effective and can be widely applied to practical problems. © 2007 Elsevier Ltd. All rights reserved.
 
ISSN0955-7997
2013 Impact Factor: 1.437
2013 SCImago Journal Rankings: 1.216
 
DOIhttp://dx.doi.org/10.1016/j.enganabound.2007.11.013
 
ISI Accession Number IDWOS:000258445300003
Funding AgencyGrant Number
RGCHKU7171/06E
The University of Hong Kong
Funding Information:

The financial support from RGC (HKU7171/06E) and The University of Hong Kong is greatly appreciated. We would also like to thank the reviewers for their suggestions to improve the manuscript.

 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorYan, F
 
dc.contributor.authorWang, YH
 
dc.contributor.authorTham, LG
 
dc.contributor.authorCheung, YK
 
dc.date.accessioned2012-06-26T06:04:56Z
 
dc.date.available2012-06-26T06:04:56Z
 
dc.date.issued2008
 
dc.description.abstractA boundary-type meshless method named dual reciprocity hybrid boundary node method (DRHBNM) is presented. It can be applied to solve elasticity problems with body force, centrifugal load, or other similar problems. In this method, the solution comprises two parts, i.e., the general solution and the particular solution. The general solution is solved by the hybrid boundary node method (HBNM), and the particular one is obtained by the dual reciprocity method (DRM). This method extends the Kelvin fundamental solution for static elastic problems without body force to non-homogeneous problems with body or inertial forces. A modified variational formulation is applied to form the discrete equations of HBNM. The moving least squares (MLS) are employed to approximate the boundary variables, while the domain variables are interpolated by the classical fundamental solution. The particular solution for the body force is obtained by DRM, and the integration in the domain is interpolated by the radial basis function. The proposed method retains the characteristics of the meshless method. At the same time, it employs the fundamental solution as in the boundary element method (BEM). Therefore, this method has the advantages of both meshless method and BEM. It does not require a 'boundary element mesh', either for the purpose of interpolation of the solution variables, or for the integration of the 'energy'. The points in the domain are used only to interpolate particular solutions by the radial basis function and it is not necessary for the integration and approximation of the solution variables. Finally, the boundary solution variables are interpolated by the independent smooth segment boundary. As special treatments for corners are not required, it can obtain accurate boundary tractions for non-smooth boundaries. Numerical examples of 2-D elasticity problems with body force are used to demonstrate the versatility of the method and its fast convergence. The computational results for unknown variables are accurate. Also, the variable parameters have little influence on the results and can be changed in wide ranges. It is shown that the present method is effective and can be widely applied to practical problems. © 2007 Elsevier Ltd. All rights reserved.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationEngineering Analysis With Boundary Elements, 2008, v. 32 n. 9, p. 713-725 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.enganabound.2007.11.013
 
dc.identifier.doihttp://dx.doi.org/10.1016/j.enganabound.2007.11.013
 
dc.identifier.epage725
 
dc.identifier.hkuros212153
 
dc.identifier.isiWOS:000258445300003
Funding AgencyGrant Number
RGCHKU7171/06E
The University of Hong Kong
Funding Information:

The financial support from RGC (HKU7171/06E) and The University of Hong Kong is greatly appreciated. We would also like to thank the reviewers for their suggestions to improve the manuscript.

 
dc.identifier.issn0955-7997
2013 Impact Factor: 1.437
2013 SCImago Journal Rankings: 1.216
 
dc.identifier.issue9
 
dc.identifier.scopuseid_2-s2.0-47049102854
 
dc.identifier.spage713
 
dc.identifier.urihttp://hdl.handle.net/10722/150461
 
dc.identifier.volume32
 
dc.languageeng
 
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/enganabound
 
dc.publisher.placeUnited Kingdom
 
dc.relation.ispartofEngineering Analysis with Boundary Elements
 
dc.relation.referencesReferences in Scopus
 
dc.subjectBody Force
 
dc.subjectDual Reciprocity Method
 
dc.subjectFundamental Solution
 
dc.subjectHybrid Boundary Node Method
 
dc.subjectParticular Solution
 
dc.subjectRadial Basis Function
 
dc.titleDual reciprocity hybrid boundary node method for 2-D elasticity with body force
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong
  2. Huazhong University of Science and Technology