Please use this identifier to cite or link to this item: https://doi.org/10.1002/nme.3049
Title: An edge-based smoothed finite element method (ES-FEM) using 3-node triangular elements for 3D non-linear analysis of spatial membrane structures
Authors: Zhang, Z.-Q. 
Liu, G.R. 
Keywords: Dynamic relaxation
Edge-based gradient smoothing
Finite rotation
Membrane
Meshfree methods
Numerical methods
Smoothed finite element methods
Strain smoothing
Issue Date: 15-Apr-2011
Source: Zhang, Z.-Q., Liu, G.R. (2011-04-15). An edge-based smoothed finite element method (ES-FEM) using 3-node triangular elements for 3D non-linear analysis of spatial membrane structures. International Journal for Numerical Methods in Engineering 86 (2) : 135-154. ScholarBank@NUS Repository. https://doi.org/10.1002/nme.3049
Abstract: An 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. Edge-based gradient smoothing for the spatial membrane structure is performed in global Cartesian coordinate system and transformed into the co-rotational local coordinate system. The smoothed strain and stress can then be properly evaluated in the co-rotational local coordinate system after the elimination of the rigid body motions simply by coordinates transformation. Explicit time integration scheme is used to compute the transient response of the 3D spatial membrane structure to time-domain excitations, and the dynamic relaxation method is employed to obtain steady-state solutions. The numerical results demonstrate that the proposed method produces much better solution accuracy and computational efficiency than the standard FEM using T3 membrane element. © 2010 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/51321
ISSN: 00295981
DOI: 10.1002/nme.3049
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