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

2007 ◽  
pp. 365-370
Author(s):  
Y.H. Zhang ◽  
Qian Sheng ◽  
Y.M. Cheng
Keyword(s):  
Three Dimensional ◽  
Numerical Manifold Method ◽  
Underground Excavation ◽  
First Order ◽  
Numerical Manifold ◽  
Cover Function

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.

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

Study on Application of Numerical Manifold Method

2012 ◽  
Vol 182-183 ◽  
pp. 1194-1199
Author(s):  
Lei Zheng ◽  
Zheng Zhong Shen
Keyword(s):  
Continuum Mechanics ◽  
Discontinuous Deformation Analysis ◽  
Deformation Analysis ◽  
Numerical Manifold Method ◽  
Analysis Method ◽  
Continuous Problems ◽  
Discontinuous Deformation ◽  
Numerical Manifold ◽  
Cover Function ◽  
The Continuum

Numerical manifold method (NMM) is based on the blocky theory which absorbed the advantages of finite element method based on the continuum mechanics, discontinuous deformation analysis method based on the non-continuum mechanics and analytic method. According to the finite covering technology of modern manifold analysis method, uniform solving format on continuous-non-continuous problems is established by taking the continuous and discontinuous cover function which can be used for the numerical simulation of large deformation and continuous-discontinuous deformation. The calculation program is worked out based on the method above and it is applied to the actual project.

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
Sign in / Sign up

Export Citation Format

Share Document