Adaptive analysis using the node‐based smoothed finite element method (NS‐FEM)

By Trung Nguyen-Thoi, Guirong Liu, Hung Nguyen-Xuan, C. Nguyen-Tran. 2011

122 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/730d5ebd1f2c956e2fc2db8d29defa1d21dfb966

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In Computational Mechanics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates (2010, methodology): “The NS-FEM has been already extended to performadaptiveanalysis[ 52 ],linearelastostaticsandvibration2Dsolidproblems[53].Also,alphafiniteelementmethods (αFEM) have been recently proposed have been recently proposed as an alternative to the NS-FEM and shown to significantly improve the results obtain”
An n‐sided polygonal edge‐based smoothed finite element method (nES‐FEM) for solid mechanics (2010, methodology): “The NS-FEM has been developed for adaptive analysis [28], primal-dual shakedown [29], 2D and 3D visco-elastoplastic analyses [30].”
Computation of limit and shakedown loads using a node‐based smoothed finite element method (2012, methodology): “Among these S-FEM models, the NS-FEM [16–21] shows some interesting properties that are very effective for solving nonlinear problems in solid mechanics: (i) volumetric locking is significantly alleviated; (ii) it possesses super-accurate and super-convergent properties of stress solutions; and (iii”
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”
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): “On the other front of the development of numerical methods, Liu and Nguyen-Thoi have integrated the strain smoothing technique [31] into the finite element method (FEM) to create a series of smoothed FEMs (S-FEMs) [32] such as a cell/element-based smoothed FEM (CS-FEM) [33–36], a node-based smoothed”
An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates (2010, methodology): “A node-based smoothed finite element method (NSFEM) [57] then has also been formulated to give upper bound solutions in the strain energy and applied to adaptive analysis [58].”
ADDITIONAL PROPERTIES OF THE NODE-BASED SMOOTHED FINITE ELEMENT METHOD (NS-FEM) FOR SOLID MECHANICS PROBLEMS (2009, methodology): “…(or strain) field used in NS-FEM can be used as a representation of exact stress (or strain) field in the adaptive analysis or error estimations [Nguyen-Thoi et al. (2009c)]; (4) In particular, NS-FEM can use the three-node linear triangular element for 2D problems and four-node linear…”
An edge-based smoothed finite element method for visco-elastoplastic analyses of 2D solids using triangular mesh (2009, methodology): “The NS-FEM has been developed for adaptive analysis [22].”