Stress recovery procedure for discontinuous deformation analysis

Zhao, Zhiye; Gu, Jiong

doi:10.1016/j.advengsoft.2008.03.003

Cited by 12 publications

(7 citation statements)

References 27 publications

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“…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 …”

Section: Introductionmentioning

confidence: 99%

“…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]…”

Section: Introductionmentioning

confidence: 99%

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Variational inequality‐based particle discontinuous deformation analysis

Fan

Wang

Zheng

2019

Num Anal Meth Geomechanics

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Summary Orienting the circular and rigid particle medium, the variational inequality‐based discontinuous deformation analysis (DDA) is established. In the proposed DDA, the global stiffness matrix, the penalty parameters, and the open‐close iteration are successfully avoided. The contact constraint is transferred into the problem of variational or quasi‐variational inequalities. And explicit variational expression on the contact force is firstly established. To speed up the rate of solving contact force, on the basis of the two‐stage prediction‐correction method, we design a compatibility iteration algorithm (PPC‐CI). The C++ code is developed in multicore environment through the open multi‐processing (OpenMP) in order to take advantage of the parallelizable features of the new DDA. Numerical tests suggest that the presented DDA is effective and promising.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Variational inequality‐based particle discontinuous deformation analysis

Fan

Wang

Zheng

2019

Num Anal Meth Geomechanics

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“…Since the initiation of the DDA by Shi and Goodman 1 in 1985, it has achieved various developments. [2][3][4] Many studies have been carried out to validate the performance of this method. [5][6][7][8] However, it still suffers from various deficiencies.…”

Section: Introductionmentioning

confidence: 99%

A novel discrete element method based on the distance potential for arbitrary 2D convex elements

Zhao

Liu

Jia

et al. 2018

Numerical Meth Engineering

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Summary A new 2‐dimensional discrete element method, which is able to simulate a system involving a large number of arbitrary convex elements, is proposed. In this approach, a novel distance potential function is defined using a normalized format of the penetrated distance between contact couples, while a holonomic and precise algorithm for contact interaction is established, accounting for the influence of the tangential contact force. Furthermore, the new contact detection algorithm is well suited for nonuniform blocks unlike the common no binary search method that requires uniform elements. The proposed method retains the merit of the combined finite‐discrete element method and avoids its deficiencies. Compared with the existing finite‐discrete element method, the distance potential function has a clear physical meaning, where the calculation of contact interaction avoids the influence of the element shape. Accordingly, the new method completely gets rid of the restraint of uniform element type and can be applied to arbitrary convex elements. The new method is validated with well‐known benchmark examples, and the results are in very good agreement with existing experimental measurement and analytical solutions. Finally, the proposed method is applied to simulate the Tangjiashan landslide.

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“…However, since block stresses are assumed as constants, the contact pressures figured out by this method are usually of low accuracy. For this reason, a multitude of approaches have been proposed to facilitate DDA block deformability, such as introducing artificial joints [19,20], adopting higher-order polynomial basis functions [21], incorporating finite element meshes [22][23][24][25][26], and coupling the DDA and finite element methods (FEMs) [27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

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

Sun

Feng

Xiao

et al. 2016

Mathematical Problems in Engineering

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A novel coupling scheme is presented to combine the discontinuous deformation analysis (DDA) and the interior penalty Galerkin (IPG) method for the modeling of contacts. The simultaneous equilibrium equations are assembled in a mixed strategy, where the entries are derived from both discontinuous Galerkin variational formulations and the strain energies of DDA contact springs. The contact algorithms of the DDA are generalized for element contacts, including contact detection criteria, open-close iteration, and contact submatrices. Three representative numerical examples on contact problems are conducted. Comparative investigations on the results obtained by our coupling scheme, ANSYS, and analytical theories demonstrate the accuracy and effectiveness of the proposed method.

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Stress recovery procedure for discontinuous deformation analysis

Cited by 12 publications

References 27 publications

Variational inequality‐based particle discontinuous deformation analysis

Variational inequality‐based particle discontinuous deformation analysis

A novel discrete element method based on the distance potential for arbitrary 2D convex elements

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

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