Please use this identifier to cite or link to this item: https://doi.org/10.1142/S0219876206001132
DC FieldValue
dc.titleA linearly conforming radial point interpolation method for solid mechanics problems
dc.contributor.authorLiu, G.R.
dc.contributor.authorLi, Y.
dc.contributor.authorDai, K.Y.
dc.contributor.authorLuan, M.T.
dc.contributor.authorXue, W.
dc.date.accessioned2014-04-24T09:29:58Z
dc.date.available2014-04-24T09:29:58Z
dc.date.issued2006-12
dc.identifier.citationLiu, G.R., Li, Y., Dai, K.Y., Luan, M.T., Xue, W. (2006-12). A linearly conforming radial point interpolation method for solid mechanics problems. International Journal of Computational Methods 3 (4) : 401-428. ScholarBank@NUS Repository. https://doi.org/10.1142/S0219876206001132
dc.identifier.issn02198762
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/51294
dc.description.abstractA linearly conforming radial point interpolation method (LC-RPIM) is presented for stress analysis of two-dimensional solids. In the LC-RPIM method, each field node is enclosed by a Voronoi polygon, and the displacement field function is approximated using RPIM shape functions of Kronecker delta function property created by simple interpolation using local nodes and radial basis functions augmented with linear polynomials to guarantee linear consistency. The system equations are then derived using the Galerkin weak form and nodal integration techniques, and the essential boundary conditions are imposed directly as in the finite element method. The LC-RPIM method is verified via various numerical examples and an extensive comparison study is conducted with the conventional RPIM, analytical approach and FEM. It is found that the presented LC-RPIM is more stable, more accurate in stress and more efficient than the conventional RPIM. © World Scientific Publishing Company.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1142/S0219876206001132
dc.sourceScopus
dc.subjectGradient smoothing
dc.subjectInterpolation function
dc.subjectMeshfree method
dc.subjectMeshless method
dc.subjectNodal integration
dc.subjectRadial basis function
dc.subjectRadial point interpolation method (RPIM)
dc.subjectStress analysis
dc.typeArticle
dc.contributor.departmentINSTITUTE OF ENGINEERING SCIENCE
dc.contributor.departmentMECHANICAL ENGINEERING
dc.description.doi10.1142/S0219876206001132
dc.description.sourcetitleInternational Journal of Computational Methods
dc.description.volume3
dc.description.issue4
dc.description.page401-428
dc.identifier.isiut000207553200002
Appears in Collections:Staff Publications

Show simple item record
Files in This Item:
There are no files associated with this item.

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.