Paper Titles
An Elasto-Plastic Finite Element Simulation of the UO-Tube Processes of Sheet Metal
p.341
Solid Shell Element and its Application in Roll Forming Simulation
p.347
3-D Finite Element Simulation of Pulsating T-Shape Hydroforming of Tubes
p.353
Automatic Approach on Derivation of Loading Path Using Adaptive Finite Element Analysis Simulation Method
p.359
Three-Dimensional Numerical Manifold Method Based on Hexahedron Element with Full First-Order Cover Function and its Application in Underground Excavation
p.365
Development of PC Cluster Parallel Processing Scheme of 3-D Rigid-Plastic Finite Element Method Using Diagonal Matrix
p.371
Numerical Investigation of Flexural Properties of Sheet Metals Subjected to Embossing and Restoration Process
p.377
Dynamic Indentation and Penetration Properties of Aluminium Foams
p.383
The Dependence of the Energy-Absorption Capacity of Metal Hollow Sphere Materials on their Relative Density
p.389

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

Article Preview

Abstract:

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.

You might also be interested in these eBooks
Engineering Plasticity and Its Applications View Preview

Info:

Periodical:

Key Engineering Materials (Volumes 340-341)

Pages:

365-370

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.340-341.365

Citation:

Cite this paper

Online since:

June 2007

Authors:

Y.H. Zhang, Qian Sheng, Y.M. Cheng

Keywords:

3D Contact, First-Order Function, Hexahedron Element, Manifold Method, Underground Excavations

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2007 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

References

[1] G.H. Shi: Discontinuous Deformation Analysis-A New Numerical Model for The Static and Dynamics of Block Systems, Ph. D Dissertation, Department of Civil Engineering, University of California, Berkeley, USA. (1988).

Google Scholar

[2] G.H. Shi: Manifold method. Proc. of 1 st Int. Forum on DDA and Simulations of Discontinuous Media, Berkeley, California, USA (1996), pp.52-204.

Google Scholar

[3] G.H. Shi: Numerical Manifold Method, Proc. of 2 nd International Conference on Analysis of Discontinuous Deformation, Japan (1997), pp.1-35.

Google Scholar

[4] Y.M. Cheng, Y.H. Zhang and W.S. Cheng: Wilson non-conforming Element in Numerical Manifold Method. Communications in Numerical Methods in Engineering, Vol. 18 (2002), pp.877-884.

DOI: 10.1002/cnm.545

Google Scholar

[5] P.A. Cundall & R.D. Hart: Development of Generalized 2-D and 3-D Distinct Element Programs for Modeling Jointed Rock, U.S. Army Corps of Engineers, Washington DC (1985).

Google Scholar

[6] Y.Y. Jiao: Three Dimensional DEM and Its Application, Ph. D Dissertation. Wuhan Institute of Rock & Soil Mechanics (1998).

Google Scholar

[7] Y.M. Cheng, W.S. Chen and X.R. Ger: Procedure to the detect of three-dimensional blocks using penetration edges method. Geotechnical Special Publication no. 117, ASCE (2002), pp.79-85.

Google Scholar

[8] Q.H. Jiang: Research on Three Dimensional Discontinuous Deformation Analysis Method, Ph. D Dissertation, Wuhan Institute of Rock & Soil Mechanics (2000).

Google Scholar

[9] S.M. Luo, X.W. Zhang, W.G. Lv and D.R. Jiang: Theoretical Study of Three-dimensional Numerical Manifold Method, Applied Math. And Mech., Vol. 26 (2005), pp.1126-1131.

Google Scholar