Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.finel.2010.05.005
Title: A point interpolation method with locally smoothed strain field (PIM-LS2) for mechanics problems using triangular mesh
Authors: Xu, X.
Liu, G.R. 
Gu, Y.T.
Zhang, G.Y.
Luo, J.W.
Peng, J.X.
Keywords: Extended Galerkin
Finite element method
Meshfree methods
Point interpolation method
Softening effect
Solution bounds
Issue Date: Oct-2010
Source: Xu, X.,Liu, G.R.,Gu, Y.T.,Zhang, G.Y.,Luo, J.W.,Peng, J.X. (2010-10). A point interpolation method with locally smoothed strain field (PIM-LS2) for mechanics problems using triangular mesh. Finite Elements in Analysis and Design 46 (10) : 862-874. ScholarBank@NUS Repository. https://doi.org/10.1016/j.finel.2010.05.005
Abstract: A point interpolation method with locally smoothed strain field (PIM-LS2) is developed for mechanics problems using a triangular background mesh. In the PIM-LS2, the strain within each sub-cell of a nodal domain is assumed to be the average strain over the adjacent sub-cells of the neighboring element sharing the same field node. We prove theoretically that the energy norm of the smoothed strain field in PIM-LS2 is equivalent to that of the compatible strain field, and then prove that the solution of the PIM-LS2 converges to the exact solution of the original strong form. Furthermore, the softening effects of PIM-LS2 to system and the effects of the number of sub-cells that participated in the smoothing operation on the convergence of PIM-LS2 are investigated. Intensive numerical studies verify the convergence, softening effects and bound properties of the PIM-LS2, and show that the very "tight" lower and upper bound solutions can be obtained using PIM-LS2. © 2010 Elsevier B.V.
Source Title: Finite Elements in Analysis and Design
URI: http://scholarbank.nus.edu.sg/handle/10635/54719
ISSN: 0168874X
DOI: 10.1016/j.finel.2010.05.005
Appears in Collections:Staff Publications

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

SCOPUSTM   
Citations

2
checked on Dec 13, 2017

WEB OF SCIENCETM
Citations

1
checked on Oct 31, 2017

Page view(s)

24
checked on Dec 9, 2017

Google ScholarTM

Check

Altmetric


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