A multi-shell cover algorithm for contact detection in the three dimensional discontinuous deformation analysis

Modelling the dynamic failure of brittle rocks using a hybrid continuum-discrete element method with a mixed-mode cohesive fracture model

“…[86], which combines a viscous damage model with the CPM. Besides classical continuum mechanics approaches, discontinuous methods such as the DEM [16,17] or DDA [27,95,96] are a powerful alternative.…”

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

“…If a pair of blocks share an overlapping region in terms of their enlarged AABBs [28,44] (Fig. 3), they are considered neighbouring blocks; otherwise, they are not.…”

“…V-E (À6, 1, 0) C 18 V-E (À6, À1, 0) C 19 V-E (À6, À1, 4) F 4 C 20 V-V (À6.5, 2, 4.5) 2.82843 C 21 V-V (À6, 2, 4) C 22 V-E (À6, 1, 4) C 23 V-E (À6, À1, 4) C 24 V-V (À6, À2, 4) C 25 V-V (À6.5, À2, 4.5) 29 V-V (À6, À1, 4) F 6 C 30 V-V (6.5, 2, 4.5) 5.65685 C 31 V-V (6, 2, 4) C 32 V-V (6, 1, 4) C 33 V-V (5, 1, 3) C 34 V-V (5, À1, 3) C 35 V-V (6, À1, 4) C 36 V-V (6, À2, 4) C 37 V-V (6.5, À2, 4.5) F 7 C 38 V-E (À3, 1.5, 6.5) 4.94975 C 39 E-E (À2.5, 1.5, 6) C 40 V-F (À2.5, 1, 6) C 41 V-E (À1.5, 1, 5) C 42 V-E (À1.5, À1, 5) C 43 V-F (À2.5, À1, 6) C 44 E-E (À2.5, À1.5, 6) C 45 V-E (À3, À1.5, 6.5) …”

A fast direct search algorithm for contact detection of convex polygonal or polyhedral particles

“…Another genre is referred to as the direct search or improved direct search algorithms [8][9][10]. Other methods include the approaching face method [5], an improved approaching face algorithm [6], vertex-to-face searching algorithm [7] and multi-shell cover method [11]. Boon et al [1] generalize contact between convex polyhedral particles as a convex optimization problem and used a linear program method to solve it.…”