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Article: Dual reciprocity hybrid boundary node method for 2-D elasticity with body force

TitleDual reciprocity hybrid boundary node method for 2-D elasticity with body force
Authors
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
Citation
Engineering Analysis With Boundary Elements, 2008, v. 32 n. 9, p. 713-725 How to Cite?
Abstract
A 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.
Persistent Identifierhttp://hdl.handle.net/10722/150461
ISSN
2013 Impact Factor: 1.437
2013 SCImago Journal Rankings: 1.216
ISI Accession Number ID
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.

References

 

DC FieldValueLanguage
dc.contributor.authorYan, Fen_US
dc.contributor.authorWang, YHen_US
dc.contributor.authorTham, LGen_US
dc.contributor.authorCheung, YKen_US
dc.date.accessioned2012-06-26T06:04:56Z-
dc.date.available2012-06-26T06:04:56Z-
dc.date.issued2008en_US
dc.identifier.citationEngineering Analysis With Boundary Elements, 2008, v. 32 n. 9, p. 713-725en_US
dc.identifier.issn0955-7997en_US
dc.identifier.urihttp://hdl.handle.net/10722/150461-
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.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/enganabounden_US
dc.relation.ispartofEngineering Analysis with Boundary Elementsen_US
dc.subjectBody Forceen_US
dc.subjectDual Reciprocity Methoden_US
dc.subjectFundamental Solutionen_US
dc.subjectHybrid Boundary Node Methoden_US
dc.subjectParticular Solutionen_US
dc.subjectRadial Basis Functionen_US
dc.titleDual reciprocity hybrid boundary node method for 2-D elasticity with body forceen_US
dc.typeArticleen_US
dc.identifier.emailTham, LG:hrectlg@hkucc.hku.hken_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityTham, LG=rp00176en_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.enganabound.2007.11.013en_US
dc.identifier.scopuseid_2-s2.0-47049102854en_US
dc.identifier.hkuros212153-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-47049102854&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume32en_US
dc.identifier.issue9en_US
dc.identifier.spage713en_US
dc.identifier.epage725en_US
dc.identifier.isiWOS:000258445300003-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridYan, F=8972614400en_US
dc.identifier.scopusauthoridWang, YH=9737738500en_US
dc.identifier.scopusauthoridTham, LG=7006213628en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US

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