Theoretical study of three-dimensional numerical manifold method

2005 ◽  
Vol 26 (9) ◽  
pp. 1126-1131 ◽  
Author(s):  
Luo Shao-ming ◽  
Zhang Xiang-wei ◽  
Lü Wen-ge ◽  
Jiang Dong-ru
Keyword(s):  
Theoretical Study ◽  
Three Dimensional ◽  
Numerical Manifold Method ◽  
Numerical Manifold

Research on Fault Cutting Algorithm of the Three-Dimensional Numerical Manifold Method

2017 ◽  
Vol 17 (5) ◽  
Author(s):  
Yanqiang Wu ◽  
Guangqi Chen ◽  
Zaisen Jiang ◽  
Long Zhang ◽  
Hong Zhang ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Numerical Manifold Method ◽  
Cutting Algorithm ◽  
Numerical Manifold

Three-Dimensional Numerical Manifold Method Based on Hexahedron Element with Full First-Order Cover Function and its Application in Underground Excavation

2007 ◽  
Vol 340-341 ◽  
pp. 365-370 ◽  
Author(s):  
Y.H. Zhang ◽  
Qian Sheng ◽  
Y.M. Cheng
Keyword(s):  
Three Dimensional ◽  
Shear Stiffness ◽  
Surface Force ◽  
Inertia Force ◽  
Numerical Manifold Method ◽  
Underground Excavation ◽  
Equilibrium Equations ◽  
First Order ◽  
Numerical Manifold ◽  
Cover Function

In this paper, three-dimensional(3D) Numerical Manifold Method (NNM) based on hexahedron element cover with full first-order cover function is proposed and the shape function of C8 isoparametric element in FEM is used as the cover weight function. All sub-matrices in equilibrium equations, including stiffness matrix, initial stress matrix, point force matrix, surface force matrix, body force matrix, inertia force matrix, contact matrix and friction matrix, are derived. Different with 2D contact, the direction of shear stiffness and friction force can not be easily defined in 3D contact. A new iterative method based on vector theory to detect the contact direction is developed. The application of 3D NMM in underground excavation is also presented and show good agreement with real engineering.

Modeling Unconfined Seepage Flow Using Three-Dimensional Numerical Manifold Method

2010 ◽  
Vol 22 (4) ◽  
pp. 554-561 ◽  
Author(s):  
Qing-hui Jiang ◽  
Shu-shen Deng ◽  
Chuang-bing Zhou ◽  
Wen-bo Lu
Keyword(s):  
Three Dimensional ◽  
Seepage Flow ◽  
Numerical Manifold Method ◽  
Numerical Manifold
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