Static and dynamic stability analysis using 3D-DDA with incision body scheme
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Wang Jianquan (Íõ½¨È«), Lin Gao (ÁÖ ¸Þ) and Liu Jun (Áõ ¾ý)
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School of Civil and Hydraulic Engineering, Dalian University of
Technology, Dalian 116023, China
Abstract:
Discontinuous deformation analysis (DDA)
provides a powerful numerical tool for the analysis of discontinuous media. This
method has been widely applied to the 2D analysis of discontinuous deformation.
However, it is hindered from analyzing 3D rock engineering problems mainly due
to the lack of reliable 3D contact detection algorithms for polyhedra. Contact
detection is a key in 3-D DDA analysis. The limitations and advantages of
existing contact detection schemes are discussed in this paper, and a new
approach, called the incision body (IB), is proposed, taking into account the
advantages of the existing methods. A computer code 3DIB, which uses the IB
scheme as a 3D contact detection algorithm, was programmed with Visual C++.
Static and dynamic stability analysis for three realistic engineering problems
has been carried out. Furthermore, the focus is on studying the stability of a
gravity dam on jointed rock foundation and dynamic stability of a fractured
gravity dam subject to earthquake shaking. The simulation results show that the
program 3DIB and incision body scheme are capable of detecting 3D block contacts
correctly and hence simulating the open-close and slide process of jointed block
masses. In addition, the code 3DIB could provide an effective tool for
evaluating the safety of 3D dam structures, which is quite important for
engineering problems.
Keywords:
Discontinuous deformation analysis;
stability analysis; contact detection; rock engineering.
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