Discontinuous Deformation Analysis Enriched by the Bonding Block Model

Abstract

The discontinuous deformation analysis (DDA) has been extensively applied in geotechnical engineering owing to its salient merits in the modeling of discontinuities. However, this method assumes a constant stress field within every block and hence cannot provide reliable estimation for block deformations and stresses. This paper proposes a novel scheme to improve the accuracy of the DDA. In our method, advanced subdivision is introduced to represent a block as an assembly of triangular or quadrilateral elements, in which overlapped element edges are separated from each other and are glued together by bonding springs. The accuracy and the effectiveness of the proposed method are illustrated by three numerical experiments for both continuous and discontinuous problems.

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 …”

“…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, [25][26][27][28][29][30][31][32] strengthening the deformability, [33][34][35][36][37][38][39] scrutinizing the time integral scheme, [40][41][42][43] refining the stress distribution, [44][45][46][47][48] imposing the boundary conditions, [49][50][51][52] fracturing the jointed rock mass, [53][54][55][56][57][58][59] coupling the fluid and solid, [60][61][62][63][64] accelerating the convergence of open-close iteration, 65,66 enhancing the contact search, [67][68][69][70][71][72]…”