Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00466-007-0192-8
Title: A gradient smoothing method (GSM) with directional correction for solid mechanics problems
Authors: Liu, G.R. 
Zhang, J. 
Lam, K.Y.
Li, H.
Xu, G.
Zhong, Z.H.
Li, G.Y.
Han, X.
Keywords: Gradient smoothing method (GSM)
Meshfree method
Numerical analysis
Numerical methods
Solid mechanics
Issue Date: Feb-2008
Source: Liu, G.R., Zhang, J., Lam, K.Y., Li, H., Xu, G., Zhong, Z.H., Li, G.Y., Han, X. (2008-02). A gradient smoothing method (GSM) with directional correction for solid mechanics problems. Computational Mechanics 41 (3) : 457-472. ScholarBank@NUS Repository. https://doi.org/10.1007/s00466-007-0192-8
Abstract: A novel gradient smoothing method (GSM) is proposed in this paper, in which a gradient smoothing together with a directional derivative technique is adopted to develop the first- and second-order derivative approximations for a node of interest by systematically computing weights for a set of field nodes surrounding. A simple collocation procedure is then applied to the governing strong-from of system equations at each node scattered in the problem domain using the approximated derivatives. In contrast with the conventional finite difference and generalized finite difference methods with topological restrictions, the GSM can be easily applied to arbitrarily irregular meshes for complex geometry. Several numerical examples are presented to demonstrate the computational accuracy and stability of the GSM for solid mechanics problems with regular and irregular nodes. The GSM is examined in detail by comparison with other established numerical approaches such as the finite element method, producing convincing results. © 2007 Springer Verlag.
Source Title: Computational Mechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/50659
ISSN: 01787675
DOI: 10.1007/s00466-007-0192-8
Appears in Collections:Staff Publications

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

SCOPUSTM   
Citations

14
checked on Dec 6, 2017

WEB OF SCIENCETM
Citations

14
checked on Nov 17, 2017

Page view(s)

52
checked on Dec 10, 2017

Google ScholarTM

Check

Altmetric


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