Validating the ability of the discontinuous deformation analysis method to model normal P‐wave propagation across rock fractures

Gong, Weili; Wang, Yunsheng; Ning, Youjun; Luo, Yonghong; Wang, Yujie

doi:10.1002/nag.2679

Cited by 8 publications

(2 citation statements)

References 29 publications

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“…The second approach is numerical simulation. The discontinuum‐based methods, such as the discrete element method, the discontinuous deformation analysis method, and the numerical manifold method, can simulate the failure process of the rock blocks under seismic action 18–23 . The third approach is the Newmark sliding block method 24 .…”

Section: Introductionmentioning

confidence: 99%

Extensions of the dynamic Newmark method for seismic stability analysis of a rock block

Sheng

et al. 2021

Num Anal Meth Geomechanics

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The Newmark sliding block method combined with block theory (referred to as the dynamic Newmark method) can be used to calculate the dynamic safety factor and the permanent displacement, which provides a quantitative tool to evaluate the dynamic stability of a rock block under seismic action. Frequent changes in the position of a rock block under seismic action may lead to the changes in contact areas and modes of contact between sliding faces. These problems that are not considered in the original dynamic Newmark method are solved to extend the dynamic Newmark method. First, the loop analysis method is introduced to obtain the contact polygonal faces of a sliding surface, and the simplex integration method is used to calculate the contact areas. Second, the reference point method is defined to identify the mode of contact between a structural plane and the surrounding rock mass, and the possible mode of motion of the rock block is determined. Based on these extensions of the dynamic Newmark method, an Extended Newmark Method (ENM) program is developed, and a verification example, three comparison cases, and an application are used to validate the correctness and effectiveness of the extended method. The results show that the ENM program can be used to calculate the effects of the change in contact areas and modes of contact on block motion, which better reflects the dynamic response of a rock block under seismic action compared with the original dynamic Newmark method.

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Section: Introductionmentioning

confidence: 99%

Extensions of the dynamic Newmark method for seismic stability analysis of a rock block

Sheng

et al. 2021

Num Anal Meth Geomechanics

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“…2 As an implicit and displacement-based method, DDA have been successfully implemented on both static and dynamic problems in rock engineering. 3 In the past decades, many improvements have been made on the discontinuous computation framework for the analyses of rock slides, 4-7 tunnels, 8,9 seismic site response, 10,11 rock fragmentation, [12][13][14] rock dynamics, [15][16][17][18] hydraulic fracturing, [19][20][21][22][23] and thermo-hydro-mechanical problems. [24][25][26] Meanwhile, the implementation of three-dimensional DDA has gained popularity in various rock engineering problems.…”

Section: Introductionmentioning

confidence: 99%

Modified predictor‐corrector solution approach for efficient discontinuous deformation analysis of jointed rock masses

Zheng

Leung

Zhu

et al. 2018

Num Anal Meth Geomechanics

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Summary The high computational costs associated with the implicit formulation of discontinuous deformation analysis (DDA) have been one of the major obstacles for its implementation to engineering problems involving jointed rock masses with large numbers of blocks. In this paper, the Newmark‐based predictor‐corrector solution (NPC) approach was modified to improve the performance of the original DDA solution module in modeling discontinuous problems. The equation of motion for a discrete block system is first established with emphasis on the consideration of contact constraints. A family of modified Newmark‐based predictor‐corrector integration (MNPC) scheme is then proposed and implemented into a unified analysis framework. Comparisons are made between the proposed approach and the widely used constant acceleration (CA) integration approach and central difference (CD) approach, regarding the stability and numerical damping features for a single‐degree‐of‐freedom model, where the implications of the proposed approach on open‐close iteration are also discussed. The validity of the proposed approach is verified by several benchmarking examples, and it is then applied to two typical problems with different numbers of blocks. The results show that the original CA approach in DDA is efficient for the simulation of quasi‐static deformation of jointed rock masses, while the proposed MNPC approach leads to improved computational efficiency for dynamic analysis of large‐scale jointed rock masses. The MNPC approach therefore provides an additional option for efficient DDA of jointed rock masses.

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Application of Three-Dimensional Explicit Discontinuous Deformation Analysis on Wave Propagation in Rock Masses Using Three Viscous Boundaries with the Remedy for Artificial Joints

Zhu

Zhang

et al. 2022

Rock Mech Rock Eng

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Validating the ability of the discontinuous deformation analysis method to model normal P‐wave propagation across rock fractures

Cited by 8 publications

References 29 publications

Extensions of the dynamic Newmark method for seismic stability analysis of a rock block

Extensions of the dynamic Newmark method for seismic stability analysis of a rock block

Modified predictor‐corrector solution approach for efficient discontinuous deformation analysis of jointed rock masses

Application of Three-Dimensional Explicit Discontinuous Deformation Analysis on Wave Propagation in Rock Masses Using Three Viscous Boundaries with the Remedy for Artificial Joints

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