Extensions of edge-to-edge contact model in three-dimensional discontinuous deformation analysis for friction analysis

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

“…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) …”

“…In practice, however, joint configurations, block shapes, boundary conditions, loading conditions, block displacement and deformation of rock masses are three-dimensional (3-D) problems. Thus, the applications of 2-D computations of joints or blocks are of limited accuracy, and 3-D analyses [18][19][20][21] are highly desirable in rock mechanics modelling and rock engineering design.…”

Discontinuous Deformation Analysis Coupling with Discontinuous Galerkin Finite Element Methods for Contact Simulations

“…Assume the element subjected to the traction t = ( , ) T on its exterior edge . Then, substituting (19) into (17) leads to…”

“…At either end of this spectrum, reliable and robust modeling of contact interactions have vital significances in deciding the initiation of crack tips as well as their growths. So far, extensive endeavors have been dedicated to boost the efficiency of DDA contact algorithms [9][10][11][12][13][14][15][16][17][18]. However, since block stresses are assumed as constants, the contact pressures figured out by this method are usually of low accuracy.…”

Variational inequality‐based particle discontinuous deformation analysis

“…Over the past several decades, a great number of progresses have been made on DDA. These improvements are mostly concentrated on suppressing the false volume expansion, strengthening the deformability, scrutinizing the time integral scheme, refining the stress distribution, imposing the boundary conditions, fracturing the jointed rock mass, coupling the fluid and solid, accelerating the convergence of open‐close iteration, enhancing the contact search, optimizing the transformation of vertex‐vertex contact, and improving the calculation of contact force …”