A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates

By Hung Nguyen-Xuan, Timon Rabczuk, N. Nguyen‐Thanh, Trung Nguyen-Thoi, Stéphane P.A. Bordas. 2010

159 citations recorded by the source corpus.

In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node triangular elements is formulated for static, free vibration and buckling analyses of Reissner–Mindlin plates. The discrete weak form of the NS-FEM is obtained based on the strain smoothing technique over smoothing domains associated with the nodes of the elements. The discrete shear gap (DSG) method together with a stabilization technique is incorporated into the NS-FEM to eliminate transverse shear locking and to maintain stability of the present formulation. A so-called node-based smoothed stabilized discrete shear gap method (NS-DSG) is then proposed. Several numerical examples are used to illustrate the accuracy and effectiveness of the present method.

Subfields: Building and Construction, Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e93f552925e327c66d11ffa2c178f01ea6d98461

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Citations in the corpus

A unified 3D‐based technique for plate bending analysis using scaled boundary finite element method (2012, methodology): “01, respectively, whereas comparing with the published results given in [36].”
Static and free vibration analyses and dynamic control of composite plates integrated with piezoelectric sensors and actuators by the cell-based smoothed discrete shear gap method (CS-FEM-DSG3) (2013, methodology): “The S-FEM models have also been further investigated and applied to various problems such as plates and shells [49–61], piezoelectricity [62], fracture mechanics [63], visco-elastoplasticity [64–66], limit and shakedown analysis for solids [67–69], and some other applications [70–73], etc.”
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.”
Computation of limit and shakedown loads using a node‐based smoothed finite element method (2012, methodology): “and plates [21, 22].”