Three-dimensional discontinuous deformation analysis (3-D DDA) using a new contact resolution algorithm

Beyabanaki, S. Amir Reza; Mikola, Roozbeh Geraili; Hatami, Kianoosh

doi:10.1016/j.compgeo.2007.08.006

Cited by 63 publications

(36 citation statements)

References 14 publications

(16 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Yeung et al [33] and Wu [34] presented algorithms for edge-to-edge contacts. Beyabanaki et al [35] presented a new algorithm to search and calculate geometrical contacts in the 3-D DDA.…”

Section: Introductionmentioning

confidence: 99%

Nodal-based three-dimensional discontinuous deformation analysis (3-D DDA)

Beyabanaki

Jafari

Biabanaki

et al. 2009

Computers and Geotechnics

View full text Add to dashboard Cite

“…Yeung et al [33] and Wu [34] presented algorithms for edge-to-edge contacts. Beyabanaki et al [35] presented a new algorithm to search and calculate geometrical contacts in the 3-D DDA.…”

Section: Introductionmentioning

confidence: 99%

Nodal-based three-dimensional discontinuous deformation analysis (3-D DDA)

Beyabanaki

Jafari

Biabanaki

et al. 2009

Computers and Geotechnics

View full text Add to dashboard Cite

“…[13][14][15][16][17][18], among which is the 3-dimensional contact theory by Shi [19]. With this theory, the singular contact such as vertex-to-vertex contact will become easy to treat.…”

Section: Introductionmentioning

confidence: 99%

Condensed form of complementarity formulation for discontinuous deformation analysis

Zheng

2015

Sci. China Technol. Sci.

View full text Add to dashboard Cite

While the classical discontinuous deformation analysis (DDA) is applied to the analysis of a given block system, one must preset stiffness parameters for artificial springs to be fixed during the open-close iteration. To a great degree, success or failure in applying DDA to a practical problem is dependent on the spring stiffness parameters, which is believed to be the biggest obstacle to more extensive applications of DDA. In order to evade the introduction of the artificial springs, this study reformulates DDA as a mixed linear complementarity problem (MLCP) in the primal form. Then, from the fact that the block displacement vector of each block can be expressed in terms of the contact forces acting on the block, the condensed form of MLCP is derived, which is more efficient than the primal form. Some typical examples including those designed by the DDA inventor are reanalyzed, proving that the procedure is feasible. discontinuous deformation analysis, contact and impact, complementarity theory, non-smooth analysis, open-close iteration Citation:Li X K, Zheng H. Condensed form of complementarity formulation for discontinuous deformation analysis. Sci China Tech Sci, 2015, 58: 1509 1519,

show abstract

“…In the above simulation, the height of the block is constant at 0.4 m. Based on Eq. (33), if the height is changed, the critical toppling angle will also change. A comparison of the critical toppling angle predicted by the analytical and numerical results for different block heights is shown in Fig.…”

Section: Block Toppling On An Inclined Planementioning

confidence: 99%

“…After one of the approaching faces was identified as the main plane and the vertices within a certain distance were located, different algorithms were used to search for contact points and identify contact types in the global coordinate system. Beyabanaki et al [33] presented a contact calculation algorithm for contacts between two polyhedra. In this algorithm, contact types were calculated from topological information about the two nearest points of the polyhedra.…”

Section: Introductionmentioning

confidence: 99%