Rock Mechanics and Rock Engineering

, Volume 41, Issue 4, pp 601–628 | Cite as

Formulation of a Three-dimensional Numerical Manifold Method with Tetrahedron and Hexahedron Elements

  • Y. M. Cheng
  • Y. H. Zhang


Numerical Manifold Method (NMM) is an extension of Discontinuous Deformation Analysis which contains and combines FEM and joint/block oriented DDA in a unified form. At present, application of NMM is mainly limited to two-dimensional analysis which is not realistic for many underground excavation works. In the present paper, three-dimensional NMM based on tetrahedron and hexahedron elements is proposed. The corresponding three-dimensional cover contact detection algorithms which have some fundamental properties different from the corresponding two-dimensional analysis are also developed. Based on the present formulations, engineering problems with arbitrarily oriented discontinuities can be modeled and realistic modeling of construction works becomes possible.

Keywords: Manifold method, discontinuous deformation analysis, joints, contacts. 


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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  • Y. M. Cheng
    • 1
  • Y. H. Zhang
    • 1
  1. 1.Department of Civil and Structural EngineeringHong Kong Polytechnic UniversityHong KongP.R. China

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