Please use this identifier to cite or link to this item:
https://doi.org/10.1142/S0219876213500205
DC Field | Value | |
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dc.title | Meshfree cell-based smoothed alpha radial point interpolation method (CS-α RPIM) for solid mechanics problems | |
dc.contributor.author | Liu, G.R. | |
dc.contributor.author | Zhang, G.Y. | |
dc.contributor.author | Zong, Z. | |
dc.contributor.author | Li, M. | |
dc.date.accessioned | 2014-06-17T06:26:32Z | |
dc.date.available | 2014-06-17T06:26:32Z | |
dc.date.issued | 2013-08 | |
dc.identifier.citation | Liu, G.R., Zhang, G.Y., Zong, Z., Li, M. (2013-08). Meshfree cell-based smoothed alpha radial point interpolation method (CS-α RPIM) for solid mechanics problems. International Journal of Computational Methods 10 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1142/S0219876213500205 | |
dc.identifier.issn | 02198762 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/60719 | |
dc.description.abstract | This paper presents a novel and effective cell-based smoothed alpha radial point interpolation method (CS-αRPIM) using αPIM shape functions for approximating displacement and cell-based smoothed strains for displacement gradient construction. Using a scaling factor α [0, 1], the αPIM shape functions are combinations of the condensed RPIM (RPIM-Cd) shape functions and the linear PIM shape functions, where the former often leads to a "softer" CS-RPIM model, and the latter a "stiffer" linear CS-RPIM model (which is as same as linear FEM), compared to the exact one. Through adjusting the value of α in our new CS-αRPIM, the stiffness of the model can be "designed" for desired purposes, such as for seeking nearly exact solutions in strain energy norm (or possibly other norms). A simple and practical procedure to search for such an α has also been presented. Some 2D and 3D numerical examples are studied to examine various properties of the present method in terms of accuracy, convergence and computational efficiency. © 2013 World Scientific Publishing Company. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1142/S0219876213500205 | |
dc.source | Scopus | |
dc.subject | cell-based smoothing | |
dc.subject | meshfree method | |
dc.subject | Numerical methods | |
dc.subject | radial point interpolation method (RPIM) | |
dc.type | Article | |
dc.contributor.department | MECHANICAL ENGINEERING | |
dc.description.doi | 10.1142/S0219876213500205 | |
dc.description.sourcetitle | International Journal of Computational Methods | |
dc.description.volume | 10 | |
dc.description.issue | 4 | |
dc.description.page | - | |
dc.identifier.isiut | 000318440200010 | |
Appears in Collections: | Staff Publications |
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