Results 271 to 280 of about 5,175,662 (301)
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International Journal for Numerical Methods in Engineering, 2010
AbstractThe paper reports a detailed analysis on the numerical dispersion error in solving 2D acoustic problems governed by the Helmholtz equation using the edge‐based smoothed finite element method (ES‐FEM), in comparison with the standard FEM. It is found that the dispersion error of the standard FEM for solving acoustic problems is essentially ...
He, Z.C. +4 more
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AbstractThe paper reports a detailed analysis on the numerical dispersion error in solving 2D acoustic problems governed by the Helmholtz equation using the edge‐based smoothed finite element method (ES‐FEM), in comparison with the standard FEM. It is found that the dispersion error of the standard FEM for solving acoustic problems is essentially ...
He, Z.C. +4 more
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Engineering Fracture Mechanics, 2011
Abstract The recently developed edge-based smoothed finite element method (ES-FEM) is extended to fracture problems in anisotropic media using a specially designed five-node singular crack-tip (T5) element. In the formulation of singular ES-FEM, only the assumed displacement values (not the derivatives) on the boundaries of the smoothing domains are ...
Chen, L. +4 more
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Abstract The recently developed edge-based smoothed finite element method (ES-FEM) is extended to fracture problems in anisotropic media using a specially designed five-node singular crack-tip (T5) element. In the formulation of singular ES-FEM, only the assumed displacement values (not the derivatives) on the boundaries of the smoothing domains are ...
Chen, L. +4 more
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Journal of Sound and Vibration, 2009
Abstract This paper presents an edge-based smoothed finite element method (ES-FEM) to significantly improve the accuracy of the finite element method (FEM) without much changing to the standard FEM settings. The ES-FEM can use different shape of elements but prefers triangular elements that can be much easily generated automatically for complicated ...
Liu, G.R., Nguyen-Thoi, T., Lam, K.Y.
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Abstract This paper presents an edge-based smoothed finite element method (ES-FEM) to significantly improve the accuracy of the finite element method (FEM) without much changing to the standard FEM settings. The ES-FEM can use different shape of elements but prefers triangular elements that can be much easily generated automatically for complicated ...
Liu, G.R., Nguyen-Thoi, T., Lam, K.Y.
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An n‐sided polygonal edge‐based smoothed finite element method (nES‐FEM) for solid mechanics
International Journal for Numerical Methods in Biomedical Engineering, 2011AbstractAn edge‐based smoothed finite element method (ES‐FEM) using triangular elements was recently proposed to improve the accuracy and convergence rate of the existing standard finite element method (FEM) for the elastic solid mechanics problems.
Nguyen-Thoi, T. +2 more
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Computer Methods in Applied Mechanics and Engineering, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Nguyen-Xuan, G.R. Liu
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Nguyen-Xuan, G.R. Liu
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Engineering Fracture Mechanics, 2011
Abstract This paper presents a novel numerical method for effectively simulating the singular stress field for mode-I fracture problems based on the edge-based smoothed finite element method (ES-FEM). Using the unique feature of the ES-FEM formulation, we need only the assumed displacement values (not the derivatives) on the boundary of the smoothing
Liu, G.R. +2 more
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Abstract This paper presents a novel numerical method for effectively simulating the singular stress field for mode-I fracture problems based on the edge-based smoothed finite element method (ES-FEM). Using the unique feature of the ES-FEM formulation, we need only the assumed displacement values (not the derivatives) on the boundary of the smoothing
Liu, G.R. +2 more
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Computer Methods in Applied Mechanics and Engineering, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen-Xuan, H. +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen-Xuan, H. +3 more
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International Journal for Numerical Methods in Engineering, 2010
AbstractAn edge‐based smoothed finite element method using 3‐node triangular membrane elements (ES‐FEM‐T3) is proposed to analyze three‐dimensional (3D) spatial membrane structures under large deflection, rotation, and strain. In our 3D formulation, co‐rotational local coordinate systems associated with the edge‐based smoothing domains are constructed.
Zhang, Z.-Q., Liu, G.R.
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AbstractAn edge‐based smoothed finite element method using 3‐node triangular membrane elements (ES‐FEM‐T3) is proposed to analyze three‐dimensional (3D) spatial membrane structures under large deflection, rotation, and strain. In our 3D formulation, co‐rotational local coordinate systems associated with the edge‐based smoothing domains are constructed.
Zhang, Z.-Q., Liu, G.R.
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Fracture of soft materials with interfaces: Phase field modeling based on hybrid ES-FEM/FEM
Engineering Fracture Mechanics, 2022Shuyu Chen +5 more
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Engineering Analysis with Boundary Elements, 2023
Cui, X., Liu, G. R., Li, Z. R.
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Cui, X., Liu, G. R., Li, Z. R.
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