2000
DOI: 10.1016/s0045-7949(99)00078-4
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A node-centric indirect boundary element method: three-dimensional displacement discontinuities

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Cited by 11 publications
(7 citation statements)
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“…During the loading process, the relative displacement of the rock joint occurs. As shown in (8), we define the displacement discontinuity on the discontinuous plane as displacement difference between the upper plane (seen as +) and the lower plane (seen as -). For the triangular displacement discontinuity element, the distributions of the displacement are obtained as follows.…”
Section: Ddm Theoretical Solutionmentioning
confidence: 99%
See 1 more Smart Citation
“…During the loading process, the relative displacement of the rock joint occurs. As shown in (8), we define the displacement discontinuity on the discontinuous plane as displacement difference between the upper plane (seen as +) and the lower plane (seen as -). For the triangular displacement discontinuity element, the distributions of the displacement are obtained as follows.…”
Section: Ddm Theoretical Solutionmentioning
confidence: 99%
“…Wen independently developed DDM under three-dimensional elastic condition and then applied it to the research on dynamic crack researches [7]. Vijayakumar developed a three-dimensional elasticity triangular DDM and provided an adaptive integral method [8].…”
Section: Introductionmentioning
confidence: 99%
“…Extending their method to a tensor nonuniform mesh, or even to a logically rectangular mesh, might be possible. Vijayakumar et al (2000) describe a method in which slip is piecewise linear on a triangular mesh. They report evaluating tractions at element vertices.…”
Section: Iga and Dc3dmmentioning
confidence: 99%
“…As stress is singular at such locations for piecewise linear slip, I speculate they regularize the integral for the stress at the nodal points of the source element. See Shou et al (1997) and Vijayakumar et al (2000) for a list of other DDMs. In all DDMs to date, elements are flat even if the slip representation is at least locally smooth. On a curved fault, certain components of stress are singular at flat element edges even if the slip field is smooth.…”
Section: Iga and Dc3dmmentioning
confidence: 99%
“…To evaluate the possible failure mechanism of both events that took place at the level of the seam (±25 m) the 3-D boundary element package EXAMINE 3-D (Rocscience 2008) was employed to estimate stresses between the development tunnels as well as ahead of the double panel. This software is an established numerical tool in the mining industry and is scientifically used to estimate 3-D stresses around underground excavations (Vijayakumar et al 2000;Diederichs et al 2004). The tunnels modelled have dimensions of 700 m × 5 m × 5 m (length × width × height) subjected to an in situ stress field as shown in Fig.…”
Section: Geomechanical Modellingmentioning
confidence: 99%