Please use this identifier to cite or link to this item:
|Title:||Assessment of smoothed point interpolation methods for elastic mechanics||Authors:||Chen, L.
Point interpolation method
|Issue Date:||Dec-2010||Citation:||Chen, L., Nguyen-Xuan, H., Nguyen-Thoi, T., Zeng, K.Y., Wu, S.C. (2010-12). Assessment of smoothed point interpolation methods for elastic mechanics. International Journal for Numerical Methods in Biomedical Engineering 26 (12) : 1635-1655. ScholarBank@NUS Repository. https://doi.org/10.1002/cnm.1251||Abstract:||A generalized gradient smoothing technique and a smoothed bilinear form of Galerkin weak form have been recently proposed by Liu et al. to create a wide class of efficient smoothed point interpolation methods (PIMs) using the background mesh oftriangular cells. In these methods, displacement fields are constructed by polynomial or radial basis shape functions and strains are smoothed over the smoothed domain associated with the nodes or the edges of the triangular cells. This paper summarizes and assesses bound property, convergence rate and computational efficiency for these methods. It is found that: (1) the incorporation of the PIMs with the node-based strain smoothing operation allows us to obtain an upper bound to the exact solution in the strain energy; (2) the incorporation of the PIMs with the edge-based strain smoothing operation using triangular background mesh can produce a solution of 'ultra-accuracy' and 'super-convergence'; (3) the edge-based strain smoothing operation together with the linear interpolation can provide better computational efficiency compared with other smoothed PIMs and the finite element method when the same triangular mesh is used. These conclusions have been examined and confirmed by intensive examples. ©2009 John Wiley & Sons, Ltd.||Source Title:||International Journal for Numerical Methods in Biomedical Engineering||URI:||http://scholarbank.nus.edu.sg/handle/10635/51336||ISSN:||20407939||DOI:||10.1002/cnm.1251|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on May 24, 2023
WEB OF SCIENCETM
checked on May 24, 2023
checked on May 25, 2023
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.