Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.enganabound.2014.02.003
Title: Solution bound and nearly exact solution to nonlinear solid mechanics problems based on the smoothed FEM concept
Authors: Zhang, Z.-Q. 
Liu, G.R.
Keywords: Exact solution
Nonlinearity
Smoothed finite element method (SFEM)
Solution bound
Strain smoothing
Issue Date: 2014
Source: Zhang, Z.-Q., Liu, G.R. (2014). Solution bound and nearly exact solution to nonlinear solid mechanics problems based on the smoothed FEM concept. Engineering Analysis with Boundary Elements 42 : 99-114. ScholarBank@NUS Repository. https://doi.org/10.1016/j.enganabound.2014.02.003
Abstract: Node-based and edge-based smoothed FEM (NS-FEM and ES-FEM), and α-FEM are extended to solve nonlinear problems. The nonlinear strain field is smoothed using the gradient smoothing. The continuous scalar scaling factor α enables the α-FEM continuously transforming from overestimated model to underestimated model. Numerical examples reveal that ES-FEM is a robust and stable method with high accuracy and computational efficiency for nonlinear problems. The exact solution in strain energy of force driven problems can be bounded by NS-FEM and FEM. The α-FEM can also be "tuned" to find nearly exact solution to nonlinear mechanics problems of solids of complicated geometry. © 2014 Elsevier Ltd. All rights reserved.
Source Title: Engineering Analysis with Boundary Elements
URI: http://scholarbank.nus.edu.sg/handle/10635/114651
ISSN: 09557997
DOI: 10.1016/j.enganabound.2014.02.003
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