ADDITIONAL PROPERTIES OF THE NODE-BASED SMOOTHED FINITE ELEMENT METHOD (NS-FEM) FOR SOLID MECHANICS PROBLEMS

By Trung Nguyen-Thoi, Guirong Liu, Hung Nguyen-Xuan. 2009

114 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/8bc3d70e3e0a2ea7c5ccf8487018adbcb89aa83d

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In Computational Mechanics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

A theoretical study on the smoothed FEM (S‐FEM) models: Properties, accuracy and convergence rates (2010, methodology): “For the NS-FEM-Q4-Re, r(xI ) is computed directly from the smoothed strain ē(xI ) at node xI by r(xI )=Dē(xI ), whereas for the ES-FEM-T3-Re, r(xI ) is computed by (area-weighted) averaging of stresses of smoothing domains surrounding node x j [25, 27].”
An n‐sided polygonal edge‐based smoothed finite element method (nES‐FEM) for solid mechanics (2010, methodology): “The NS-FEM [13, 14] has been found immune naturally from volumetric locking and possesses the upper bound property in strain energy as presented in [26].”
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”
A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates (2010, methodology): “Therefore in general, when the efficiency of computation (computation time for the same accuracy) in terms of the error estimator versus computational cost is considered, the S-FEM models are more efficient than the counterpart FEM models [43,46,47,51].”
Computation of limit and shakedown loads using a node‐based smoothed finite element method (2012, methodology): “In addition, it was recently shown by numerical examples for elastic results in [17,33] that the NS-FEM produces more accurate stresses and higher convergence rates (in the energy error norm) than the ES-FEM model.”
A novel singular node‐based smoothed finite element method (NS‐FEM) for upper bound solutions of fracture problems (2010, methodology): “To further reduce the stiffness, a node-based smoothed finite element (NS-FEM) [38, 39] has been formulated using the smoothing domains (SDs) associated with nodes.”