Please use this identifier to cite or link to this item:
|Title:||A gradient smoothing method (GSM) based on strong form governing equation for adaptive analysis of solid mechanics problems|
|Authors:||Zhang, J. |
Gradient smoothing method (GSM)
|Citation:||Zhang, J., Liu, G.R., Lam, K.Y., Li, H., Xu, G. (2008-11). A gradient smoothing method (GSM) based on strong form governing equation for adaptive analysis of solid mechanics problems. Finite Elements in Analysis and Design 44 (15) : 889-909. ScholarBank@NUS Repository. https://doi.org/10.1016/j.finel.2008.06.006|
|Abstract:||A gradient smoothing method (GSM) based on strong form of governing equations for solid mechanics problems is proposed in this paper, in which gradient smoothing technique is used successively over the relevant gradient smoothing domains to develop the first- and second-order derivative approximations by calculating weights for a set of field nodes surrounding a node of interest. The GSM is found very stable and can be easily applied to arbitrarily irregular triangular meshes for complex geometry. Unlike other strong form methods, the present method has excellent stability that is crucial for adaptive analysis. An effective and robust residual based error indicator and simple refinement procedure using Delaunay diagram are then implemented in our GSM for adaptive analyses. The reliability and performance of the proposed GSM for adaptive procedure are demonstrated in several solid mechanics problems including problems with singularities and concentrated loading, compared with the well-known finite element method (FEM). © 2008 Elsevier B.V. All rights reserved.|
|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 18, 2019
WEB OF SCIENCETM
checked on Feb 11, 2019
checked on Feb 2, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.