An n‐sided polygonal edge‐based smoothed finite element method (nES‐FEM) for solid mechanics

By Trung Nguyen-Thoi, Guirong Liu, Hung Nguyen-Xuan. 2010

124 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/2d2051da6666d82ae456c38792ee752a8a3b7003

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In Computational Mechanics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

Adaptive analysis using the node‐based smoothed finite element method (NS‐FEM) (2011, methodology): “In addition, the idea of the ES-FEM is quite straightforward to extend for the n-sided polygonal elements [41] and for the 3D problems using tetrahedral elements to give a so-called the face-based smoothed finite element method [42].”
Radial basis functions collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to a variation of Murakami’s zig-zag theory (2011, unknown): “A very interesting new technique that may provide excellent results for laminated plates in a near future was recently proposed by Liu et al. (Liu and Nguyen Thoi Trung, 2010; Liu et al., 2009; Nguyen-Xuan et al., 2009a, 2009b; Nguyen-Thoi et al., 2009, 2010).”
A theoretical study on the smoothed FEM (S‐FEM) models: Properties, accuracy and convergence rates (2010, methodology): “The S-FEM models in 2D domains (CS-FEM, NS-FEM and ES-FEM) can use general n-sided polygonal elements [17, 24, 28] including 3-node triangular and 4-node quadrilateral elements [14, 15, 18, 24, 27, 28].”
A face‐based smoothed finite element method (FS‐FEM) for 3D linear and geometrically non‐linear solid mechanics problems using 4‐node tetrahedral elements (2009, methodology): “Extending the smoothing domain (k) associated with the edge k to the quadrilateral or n-sided polygonal elements [24] is straightforward as shown in Figure 4.”
Scaled boundary polygons with application to fracture analysis of functionally graded materials (2014, methodology): “Other techniques that have been proposed to construct polygon-based shape functions include the use of natural neighbor shape functions [1], the maximum entropy principle [12], bubble functions [13], and the averaged point interpolation method [14].”
Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3) (2014, unknown): “In the other front of the development of numerical methods, Liu and Nguyen Thoi Trung [22] have integrated the strain smoothing technique [23] into the FEM to create a series of smoothed FEM (SFEM) such as cell/element-based smoothed FEM (CS-FEM) [24-25], node-based smoothed FEM (NSFEM) [26-28], edg”