Validation of dynamic block displacement analysis and modification of edge-to-edge contact constraints in 3-D DDA

A new algorithm to identify contact types between arbitrarily shaped polyhedral blocks for three-dimensional discontinuous deformation analysis

“…V-F (6, 2, 0) C 10 V-F (6, 1, 0) C 11 V-F (5, 1, 0) C 12 V-F (5, À1, 0) C 13 V-F (6, À1, 0) C 14 V-F (6, À2, 0) C 15 V-E (6.5, À2, 0)…”

“…As a discontinuum-based method, discontinuous deformation analysis (DDA) [3,4] was originally developed to investigate the mechanical behaviour of jointed or blocky systems, such as rock masses. DDA is similar to finite element method (FEM) [5], but it additionally imposes the no-penetration contact constraints at block boundaries using the penalty method [4], the Lagrange multiplier method [6,7], the augmented Lagrangian method [8][9][10][11] or the complementarity method [12][13][14][15][16]. The sliding behaviour along the joints is controlled by the Coulomb friction law [4].…”

A shrunken edge algorithm for contact detection between convex polyhedral blocks

“…It is important in numerical simulation to verify the results using simple geometries for which analytical solutions exist [36]. The example shown in Fig.…”

Detection of contacts between three-dimensional polyhedral blocks for discontinuous deformation analysis

“…Up to now, 3-D DDA has been concentrated on basic theory development. 3,[43][44][45][46][47] A contact theory governing the contacts between arbitrarily shaped polyhedral blocks is a major component of 3-D DDA. As indicated in, 48,49 the introduction of the simplex integration method 3 into DDA has made it capable of dealing with any arbitrarily shaped polyhedral blocks in the mechanical calculations.…”