Upper Bound Limit Analysis of Circular Tunnel in Cohesive-Frictional Soils Using the Node-Based Smoothed Finite Element Method

2018 ◽  
pp. 123-141 ◽  
Author(s):  
T. Vo-Minh ◽  
T. Nguyen-Minh ◽  
A. Chau-Ngoc
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Upper Bound ◽  
Limit Analysis ◽  
Circular Tunnel ◽  
Smoothed Finite Element Method ◽  
Upper Bound Limit Analysis ◽  
Element Method ◽  
Frictional Soils

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

2009 ◽  
Vol 06 (04) ◽  
pp. 633-666 ◽  
Author(s):  
T. NGUYEN-THOI ◽  
G. R. LIU ◽  
H. NGUYEN-XUAN
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Upper Bound ◽  
Solid Mechanics ◽  
Three Dimensional ◽  
Element Mesh ◽  
Fem Model ◽  
Volumetric Locking ◽  
Smoothed Finite Element Method ◽  
Element Method

A node-based smoothed finite element method (NS-FEM) for solving solid mechanics problems using a mesh of general polygonal elements was recently proposed. In the NS-FEM, the system stiffness matrix is computed using the smoothed strains over the smoothing domains associated with nodes of element mesh, and a number of important properties have been found, such as the upper bound property and free from the volumetric locking. The examination was performed only for two-dimensional (2D) problems. In this paper, we (1) extend the NS-FEM to three-dimensional (3D) problems using tetrahedral elements (NS-FEM-T4), (2) reconfirm the upper bound and free from the volumetric locking properties for 3D problems, and (3) explore further other properties of NS-FEM for both 2D and 3D problems. In addition, our examinations will be thorough and performed fully using the error norms in both energy and displacement. The results in this work revealed that NS-FEM possesses two additional interesting properties that quite similar to the equilibrium FEM model such as: (1) super accuracy and super-convergence of stress solutions; (2) similar accuracy of displacement solutions compared to the standard FEM model.

scholarly journals A cell-based smoothed finite element method for kinematic limit analysis

2010 ◽  
Vol 83 (12) ◽  
pp. 1651-1674 ◽  
Author(s):  
Canh V. Le ◽  
H. Nguyen-Xuan ◽  
H. Askes ◽  
Stéphane P. A. Bordas ◽  
T. Rabczuk ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Limit Analysis ◽  
Kinematic Limit ◽  
Smoothed Finite Element Method ◽  
A Cell ◽  
Element Method
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