A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems

Authors:
G. R. Liu;T. Nguyen-Thoi;H. Nguyen-Xuan;K. Y. Lam
Affiliations:
Center for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore and Singa ...;Center for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore;Singapore-MIT Alliance (SMA), E4-04-10, 4 Engineering Drive 3, Singapore 117576, Singapore;School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
Venue:
Computers and Structures
Year:
2009

Citing 1
Cited 17

Spatial tessellations: concepts and applications of Voronoi diagrams

Spatial tessellations: concepts and applications of Voronoi diagrams

A novel Galerkin-like weakform and a superconvergent alpha finite element method (SαFEM) for mechanics problems using triangular meshes

Journal of Computational Physics
An alternative alpha finite element method (AαFEM) for free and forced structural vibration using triangular meshes

Journal of Computational and Applied Mathematics
A family of spline finite elements

Computers and Structures
A point interpolation method with locally smoothed strain field (PIM-LS2) for mechanics problems using triangular mesh

Finite Elements in Analysis and Design
Coupled analysis of 3D structural-acoustic problems using the edge-based smoothed finite element method/finite element method

Finite Elements in Analysis and Design
An adaptive NS/ES-FEM approach for 2D contact problems using triangular elements

Finite Elements in Analysis and Design
An alternative alpha finite element method with discrete shear gap technique for analysis of isotropic Mindlin-Reissner plates

Finite Elements in Analysis and Design
Linear free flexural vibration of cracked functionally graded plates in thermal environment

Computers and Structures
A comparative study on the performance of meshless approximations and their integration

Computational Mechanics
An ES-FEM for accurate analysis of 3D mid-frequency acoustics using tetrahedron mesh

Computers and Structures
An Edge-based Imbricate Finite Element Method (EI-FEM) with full and reduced integration

Computers and Structures
Metal forming analysis using the edge-based smoothed finite element method

Finite Elements in Analysis and Design
A cell-based smoothed three-node Mindlin plate element (CS-MIN3) for static and free vibration analyses of plates

Computational Mechanics
Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity

Computational Mechanics
An edge-based smoothed finite element method softened with a bubble function (bES-FEM) for solid mechanics problems

Computers and Structures
An Imbricate Finite Element Method (I-FEM) using full, reduced, and smoothed integration

Computational Mechanics
Analysis of composite plates through cell-based smoothed finite element and 4-noded mixed interpolation of tensorial components techniques

Computers and Structures

Quantified Score

Hi-index	0.01

Visualization

Abstract

This paper presents a node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems using a mesh of polygonal elements. The calculation of the system stiffness matrix is performed using strain smoothing technique over the smoothing cells associated with nodes, which leads to line integrations along the edges of the smoothing cells. The numerical results demonstrated that the NS-FEM possesses the following properties: (1) upper bound in the strain energy of the exact solution when a reasonably fine mesh is used; (2) well immune from the volumetric locking; (3) can use polygonal elements with an arbitrary number of sides; (4) insensitive to element distortion.