Please use this identifier to cite or link to this item:
|Title:||A point interpolation method with locally smoothed strain field (PIM-LS2) for mechanics problems using triangular mesh|
Finite element method
Point interpolation method
|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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 21, 2018
WEB OF SCIENCETM
checked on Dec 13, 2017
checked on Feb 17, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.