Theoretical aspects of the smoothed finite element method (SFEM)

By Guirong Liu, T. Nguyen, K. Y. Dai, Khin Yong Lam. 2007

512 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3e1b78ef339d7b959203b0d002a53351da3a64eb

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In Computational Mechanics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

An n‐sided polygonal edge‐based smoothed finite element method (nES‐FEM) for solid mechanics (2010, methodology): “When SC approaches infinity, the CS-FEM solution approaches to the solution of the standard displacement compatible FEM model [10].”
Analysis of functionally graded plates using an edge-based smoothed finite element method (2011, methodology): “Several theoretical aspects of the S-FEM models have then been provided [38,41,59].”
A novel alpha finite element method (αFEM) for exact solution to mechanics problems using triangular and tetrahedral elements (2008, methodology): “Applying the same idea to the FEM, an element-based smoothed finite element method (SFEM) [12,13,43] and a node-based smoothed finite element method (N-SFEM) [14] have also been formulated.”
A singular edge-based smoothed finite element method (ES-FEM) for crack analyses in anisotropic media (2011, unknown): “More recently, Liu [35,36] has generalized the gradient (strain) smoothing technique [37] and applied it in the FEM context to formulate a cell-based smoothed finite element method (SFEM or CS-FEM) [38–41].”
A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems (2009, methodology): “Note also that, the NS-FEM is evolved from the SFEM [8,18] in which the strain smoothing technique was applied based on elements, and they all have the same features of strain smoothing operation.”
Locking‐free continuum displacement finite elements with nodal integration (2008, methodology): “The crucial distinction between the above approaches and the present work lies in the use to which the so-called variational consistency condition is being put (our Equation (18), and Equation (34) of Reference [20]); we construct the assumed-strain operators from this condition, whereas in the abov”
A singular edge-based smoothed finite element method (ES-FEM) for bimaterial interface cracks (2009, methodology): “In the SFEM, cell-based strain smoothing technique is incorporated to the standard FEM formulation, so as to reduce the over stiffness of the FEM model.”
A cell‐based smoothed finite element method for kinematic limit analysis (2010, background): “Theoretical and numerical investigations on the influence of the number of SCs have been carried out in [19,20].”
A Smoothed Finite Element Method (SFEM) for Linear and Geometrically Nonlinear Analysis of Plates and Shells (2008, methodology): “Liu et al. (2007a) proposed a smoothed finite element method (SFEM) by combining the standard FEM with the strain smoothing technique used in meshfree methods [Chen et al. (2005)].”