Formulation of a Three-dimensional Numerical Manifold Method with Tetrahedron and Hexahedron Elements |
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| Authors: | Y M Cheng Y H Zhang |
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| Institution: | (1) Department of Civil and Structural Engineering, Hong Kong Polytechnic University, Hong Kong, P.R. China |
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| Abstract: | Summary 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.
Author’s address: Y. M. Cheng, Department of Civil and Structural Engineering, Hong Kong Polytechnic University, Room TV707,
Hung Hom Kowloon, Hong Kong, P.R. China |
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| Keywords: | : Manifold method discontinuous deformation analysis joints contacts |
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