A New Viscous Boundary Condition in the Two-Dimensional Discontinuous Deformation Analysis Method for Wave Propagation Problems

Bao, Huirong; Hatzor, Yossef H.; Huang, Xin

doi:10.1007/s00603-012-0245-y

Cited by 28 publications

(37 citation statements)

References 7 publications

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“…35,36 The approach employed to simulate a viscous boundary involves determining dampers in the normal and tangent directions of the boundary blocks. The dampers provide normal and tangential stresses that contrast with the block velocities.…”

Section: Dda Methods For Wave Propagationmentioning

confidence: 99%

Application of the discontinuous deformation analysis method to stress wave propagation through a one-dimensional rock mass

Sheng

Zhang

et al. 2015

International Journal of Rock Mechanics and Mining Sciences

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Section: Dda Methods For Wave Propagationmentioning

confidence: 99%

Application of the discontinuous deformation analysis method to stress wave propagation through a one-dimensional rock mass

Sheng

Zhang

et al. 2015

International Journal of Rock Mechanics and Mining Sciences

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“…The viscous boundary algorithm proposed by Lysmer and Kuhlemeyer has been coupled into the DDA by Bao et al . . The studies conducted by Bao et al .…”

Section: Theory Backgroundmentioning

confidence: 99%

“…Bao et al . introduced a new viscous boundary with high absorbing efficiency into DDA and adopted the new DDA to model one‐dimensional shear wave propagation through a stack of horizontal layers. Zhang et al .…”

Section: Introductionmentioning

confidence: 99%

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

Gong

Wang

Ning

et al. 2017

Num Anal Meth Geomechanics

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Summary The effects of fractures on wave propagation problems are increasingly abstracting the attention of scholars and engineers in rock engineering field. This study aims to fully validate the ability of discontinuous deformation analysis (DDA) to model normal P‐wave propagation across rock fractures. The effects of a single fracture and multiple parallel fractures are all tested. The results indicate that DDA can accurately reflect the fracture effects, including the fractures stiffness, the fracture spacing and the fracture number, and the effects of incident wave frequency on one‐dimensional P‐wave propagation problems. Thus, DDA is able to deal well with normal incident P‐wave propagation problems. Copyright © 2017 John Wiley & Sons, Ltd.

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“…If the rotation of the block boundary is sufficiently small, the velocity components of the block boundary can be considered as constants . The following equation is obtained by substituting formula (10) into formula (9):

((), \begin{array}{c} center & f_{n} \\ center & f_{s} \end{array}) = prefix- ρ l ([], \begin{array}{c} center & c_{p} & 0 \\ center & 0 & c_{s} \end{array}) boldN ((), \begin{array}{c} center & v_{x} \\ center & v_{y} \end{array})

…”

Section: Nonreflecting Boundarymentioning

confidence: 99%

Boundary setting method for the seismic dynamic response analysis of engineering rock mass structures using the discontinuous deformation analysis method

Sheng

Zhang

et al. 2015

Int. J. Numer. Anal. Meth. Geomech.

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SUMMARYLarge deformations and discontinuous problems can be calculated using the discontinuous deformation analysis (DDA) method by solving time steps, and this method is suitable for simulating the seismic dynamic response of engineering rock mass structures. However, the boundary setting must be carefully analyzed. In this paper, four boundary settings for the DDA method are investigated. First, the contributions to the DDA equations for nonreflecting boundaries (including the viscous boundary and the viscoelastic boundary) are deduced based on the Newmark method. Second, a free-field boundary is introduced in the DDA method with boundary grid generation and coupling calculation algorithms to accurately simulate external source wave motion, such as earthquakes. Third, seismic input boundary treatments are intensively examined, and the force input method is introduced based on nonreflecting boundaries. Finally, the staticdynamic unified boundary is implemented to ensure consistent boundary transformation. The boundary setting method in the DDA method is discussed, and the suggested treatments are used to analyze the seismic dynamic response of underground caverns.

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A New Viscous Boundary Condition in the Two-Dimensional Discontinuous Deformation Analysis Method for Wave Propagation Problems

Cited by 28 publications

References 7 publications

Application of the discontinuous deformation analysis method to stress wave propagation through a one-dimensional rock mass

Application of the discontinuous deformation analysis method to stress wave propagation through a one-dimensional rock mass

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

Boundary setting method for the seismic dynamic response analysis of engineering rock mass structures using the discontinuous deformation analysis method

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