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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
Abstract The three-dimensional explicit discontinuous deformation analysis (3D-EDDA), namely the deformable distinct element method (3D-DDEM), is first applied to analyze the dynamic response of rock masses subject to wave incidence. Three existing viscous boundaries derived using the principle of minimum potential energy in DDA are reformulated with the virtual work principle, which firstly reveal that their major differences lie in the choice of maximum, average, and Newmark (ending) velocity for each time step. The force input method through a viscous boundary is integrated into EDDA/DDEM to simulate the infinite domain on the incidence side. Moreover, the impact of artificial joints on step size and absorbing efficiency is evaluated. A novel index, artificial joint ratio (AJR), is then applied to remedy the viscous boundary and achieves the expected improvement. Detailed numerical cases are performed, which cover the simulation of wave propagation in continuous, spalling, and fractured models. The desirable results warrant further investigation of EDDA/DDEM.
Highlights Three viscous boundaries used in DDA are reformulated and compared.Viscous boundaries are firstly applied and validated in 3D-EDDA/DDEM.Influence of artificial joints on time step size and viscous boundary is quantified.Wave propagation in continuous, spalling, and fractured rock masses is explored.
Application of Three-Dimensional Explicit Discontinuous Deformation Analysis on Wave Propagation in Rock Masses Using Three Viscous Boundaries with the Remedy for Artificial Joints
Abstract The three-dimensional explicit discontinuous deformation analysis (3D-EDDA), namely the deformable distinct element method (3D-DDEM), is first applied to analyze the dynamic response of rock masses subject to wave incidence. Three existing viscous boundaries derived using the principle of minimum potential energy in DDA are reformulated with the virtual work principle, which firstly reveal that their major differences lie in the choice of maximum, average, and Newmark (ending) velocity for each time step. The force input method through a viscous boundary is integrated into EDDA/DDEM to simulate the infinite domain on the incidence side. Moreover, the impact of artificial joints on step size and absorbing efficiency is evaluated. A novel index, artificial joint ratio (AJR), is then applied to remedy the viscous boundary and achieves the expected improvement. Detailed numerical cases are performed, which cover the simulation of wave propagation in continuous, spalling, and fractured models. The desirable results warrant further investigation of EDDA/DDEM.
Highlights Three viscous boundaries used in DDA are reformulated and compared.Viscous boundaries are firstly applied and validated in 3D-EDDA/DDEM.Influence of artificial joints on time step size and viscous boundary is quantified.Wave propagation in continuous, spalling, and fractured rock masses is explored.
Application of Three-Dimensional Explicit Discontinuous Deformation Analysis on Wave Propagation in Rock Masses Using Three Viscous Boundaries with the Remedy for Artificial Joints
Wang, Xi (author) / Wu, Wei (author) / Zhu, Hehua (author) / Zhang, Hong (author) / Lin, Jeen-Shang (author)
2022
Article (Journal)
Electronic Resource
English
BKL:
38.58
Geomechanik
/
56.20
Ingenieurgeologie, Bodenmechanik
/
38.58$jGeomechanik
/
56.20$jIngenieurgeologie$jBodenmechanik
RVK:
ELIB41
Deformation and propagation of finite joints in rock masses
British Library Conference Proceedings | 1995
|Modelling of Rock Joints and Application to Underground Openings in Discontinuous Rock Masses
British Library Conference Proceedings | 2000
|Deformation Modulus of Jointed Rock Masses in Three-Dimensional Space
British Library Conference Proceedings | 2000
|