Article: Dual reciprocity hybrid boundary node method for 2-D elasticity with body force
| Title | Dual reciprocity hybrid boundary node method for 2-D elasticity with body force | ||||||
|---|---|---|---|---|---|---|---|
| Authors | Yan, F2 Wang, YH2 Tham, LG1 Cheung, YK1 | ||||||
| Keywords | Body Force Dual Reciprocity Method Fundamental Solution Hybrid Boundary Node Method Particular Solution Radial Basis Function | ||||||
| Issue Date | 2008 | ||||||
| Publisher | Pergamon. 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?] DOI: http://dx.doi.org/10.1016/j.enganabound.2007.11.013 | ||||||
| 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. | ||||||
| ISSN | 0955-7997 2011 Impact Factor: 1.451 2011 SCImago Journal Rankings: 0.065 | ||||||
| DOI | http://dx.doi.org/10.1016/j.enganabound.2007.11.013 | ||||||
| ISI Accession Number ID | WOS:000258445300003
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 | References in Scopus |
| dc.contributor.author | Yan, F | ||||||
|---|---|---|---|---|---|---|---|
| dc.contributor.author | Wang, YH | ||||||
| dc.contributor.author | Tham, LG | ||||||
| dc.contributor.author | Cheung, YK | ||||||
| dc.date.accessioned | 2012-06-26T06:04:56Z | ||||||
| dc.date.available | 2012-06-26T06:04:56Z | ||||||
| dc.date.issued | 2008 | ||||||
| dc.description.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. | ||||||
| dc.description.nature | Link_to_subscribed_fulltext | ||||||
| dc.identifier.citation | Engineering 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.doi | http://dx.doi.org/10.1016/j.enganabound.2007.11.013 | ||||||
| dc.identifier.epage | 725 | ||||||
| dc.identifier.hkuros | 212153 | ||||||
| dc.identifier.isi | WOS:000258445300003
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.issn | 0955-7997 2011 Impact Factor: 1.451 2011 SCImago Journal Rankings: 0.065 | ||||||
| dc.identifier.issue | 9 | ||||||
| dc.identifier.scopus | eid_2-s2.0-47049102854 | ||||||
| dc.identifier.spage | 713 | ||||||
| dc.identifier.uri | http://hdl.handle.net/10722/150461 | ||||||
| dc.identifier.volume | 32 | ||||||
| dc.language | eng | ||||||
| dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/enganabound | ||||||
| dc.publisher.place | United Kingdom | ||||||
| dc.relation.ispartof | Engineering Analysis with Boundary Elements | ||||||
| dc.relation.references | References in Scopus | ||||||
| dc.subject | Body Force | ||||||
| dc.subject | Dual Reciprocity Method | ||||||
| dc.subject | Fundamental Solution | ||||||
| dc.subject | Hybrid Boundary Node Method | ||||||
| dc.subject | Particular Solution | ||||||
| dc.subject | Radial Basis Function | ||||||
| dc.title | Dual reciprocity hybrid boundary node method for 2-D elasticity with body force | ||||||
| dc.type | Article |
Author Affiliations
- The University of Hong Kong
- Huazhong University of Science and Technology