TITLE

Temporal stabilization of the node-based smoothed finite element method and solution bound of linear elastostatics and vibration problems

AUTHOR(S)
Zhi-Qian Zhang; Liu, G. R.
PUB. DATE
July 2010
SOURCE
Computational Mechanics;Jul2010, Vol. 46 Issue 2, p229
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
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.
ACCESSION #
50498663

 

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