Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00466-009-0420-5
Title: Temporal stabilization of the node-based smoothed finite element method and solution bound of linear elastostatics and vibration problems
Authors: Zhang, Z.-Q. 
Liu, G.R. 
Keywords: Finite element method (FEM)
Gradient smoothing
Meshfree methods
Numerical methods
Smoothed finite element method (SFEM)
Solution bound
Stability
Vibration
Issue Date: Jul-2010
Source: Zhang, Z.-Q., Liu, G.R. (2010-07). Temporal stabilization of the node-based smoothed finite element method and solution bound of linear elastostatics and vibration problems. Computational Mechanics 46 (2) : 229-246. ScholarBank@NUS Repository. https://doi.org/10.1007/s00466-009-0420-5
Abstract: A stabilization procedure for curing temporal instability of node-based smoothed finite element method (NS-FEM) is proposed for dynamic problems using linear triangular element. A stabilization term is added into the smoothed potential energy functional of the original NS-FEM, consisting of squared-residual of equilibrium equation. A gradient smoothing operation on second order derivatives is applied to relax the requirement of shape function, so that the squared-residual can be evaluated using linear elements. Numerical examples demonstrate that stabilization parameter can "tune" NS-FEM from being "overly soft" to "overly stiff", so that eigenvalue solutions can be stabilized. Numerical tests provide an empirical value range of stabilization parameter,within which the stabilized NS-FEM can still produce upper bound solutions in strain energy to the exact solution of force-driven elastostatics problems, as well as lower bound natural frequencies for free vibration problems. © Springer-Verlag 2009.
Source Title: Computational Mechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/51532
ISSN: 01787675
DOI: 10.1007/s00466-009-0420-5
Appears in Collections:Staff Publications

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

SCOPUSTM   
Citations

36
checked on Dec 7, 2017

WEB OF SCIENCETM
Citations

29
checked on Nov 22, 2017

Page view(s)

29
checked on Dec 11, 2017

Google ScholarTM

Check

Altmetric


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