Please use this identifier to cite or link to this item:
|Title:||Meshfree cell-based smoothed alpha radial point interpolation method (CS-α RPIM) for solid mechanics problems|
|Authors:||Liu, G.R. |
radial point interpolation method (RPIM)
|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|
|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.|
|Source Title:||International Journal of Computational Methods|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 19, 2019
WEB OF SCIENCETM
checked on Feb 11, 2019
checked on Jan 12, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.