A Smoothed Finite Element Method (SFEM) for Linear and Geometrically Nonlinear Analysis of Plates and Shells

By Xiangyang Cui, Guirong Liu, Guangyao Li, X. Zhao, T. Nguyen, Guangyong Sun. 2008

132 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8513cf6ee925b6dc058b2224d12a0c5d98696345

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Analysis of plates and shells using an edge-based smoothed finite element method (2009, background): “[25] extended the SFEM for linear and nonlinear analysis of plates and shells.”
An edge-based smoothed finite element method for visco-elastoplastic analyses of 2D solids using triangular mesh (2009, methodology): “The CS-FEM has been developed for general n-sided polygonal elements (nSFEM or nCS-FEM) [7], dynamic analyses [6], incompressible materials using selective integration [20,25], plate and shell analyses [5,19,24,28,29], and further extended for the extended finite element method (XFEM) to solve fract”
A unified 3D‐based technique for plate bending analysis using scaled boundary finite element method (2012, methodology): “There also exist other methods, such as the smoothed finite element method developed by Liu and his group [33, 34] and its extensions [35, 36], to overcome the locking problems for low-order elements.”
ADDITIONAL PROPERTIES OF THE NODE-BASED SMOOTHED FINITE ELEMENT METHOD (NS-FEM) FOR SOLID MECHANICS PROBLEMS (2009, methodology): “(2008b)], plate and shell analyses [Cui et al. (2008); Nguyen-Thanh et al. (2008); Nguyen-Van et al. (2008); Nguyen-Xuan and NguyenThoi (2009); Nguyen-Xuan and Rabczuk et al. (2008c)], and further extended for the extended finite element method (XFEM) to solve fracture mechanics problems in two-dime”
On the essence and the evaluation of the shape functions for the smoothed finite element method (SFEM) (2009, methodology): “The SFEM has also been developed for general n-sided polygonal elements (nSFEM) [5], dynamic analyses [6] and further extended for plate and shell analyses [7–11], and piezoelectric structures [12].”
High‐order plate bending analysis based on the scaled boundary finite element method (2013, methodology): “There exist other effective numerical methods for plate analysis, such as the smoothed FEM developed by Liu and his group [34,35] as well as its extensions [5,8,36], the BEM [37,38] and the Trefftz FEM [39, 40], to name a few.”
An edge‐based smoothed finite element method for primal–dual shakedown analysis of structures (2010, methodology): “The CS-FEM has also been extended for general n-sided polygonal elements (nSFEM or nCS-FEM) [23], dynamic analyses [24], incompressible materials using selective integration [25, 26], plate and shell analyses [27–30], and further extended for the extended finite element method (XFEM) to solve fractu”
A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates (2010, methodology): “By using a proper number of smoothing cells in each element (for example four smoothing cells), CS-FEM can increase significantly the accuracy of the solutions [41–52].”
Adaptive analysis using the node‐based smoothed finite element method (NS‐FEM) (2011, methodology): “The CS-FEM has been developed for general n-sided polygonal elements [26], dynamic analyses [27], incompressible materials using selective integration [28, 29], and further extended for plate and shell analyses [30–34], respectively.”