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Implementation of Viscoelastic Artificial Boundary and Seismic Motion Input Method in Three-Dimensional Discontinuous Deformation Analysis Method

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Abstract

When applying the three-dimensional discontinuous deformation analysis (3D-DDA) method to simulate the dynamic response of rock mass in an earthquake, appropriate artificial boundaries and input methods should be considered. In this study, the 3D-DDA method was modified by introducing the viscoelastic artificial boundary and the seismic motion input method based on the wave field decomposition method and with the consideration of the lateral free-field wave. Subsequently, the correctness of the boundary and the input method was verified through numerical examples. The results of the numerical examples were almost consistent with the theoretical solution. The introduced viscoelastic artificial boundary and seismic motion input method improved the applicability of the 3D-DDA method and can be further applied to simulate actual engineering cases.

Highlights

  • Viscoelastic artificial boundary is applied and validated in 3D-DDA.

  • The differences between viscoelastic boundary and existing boundaries are compared.

  • Modified 3D-DDA can consider wave field decomposition and lateral free-field wave for seismic motion input.

  • Feasibility of modified 3D-DDA to study the dynamic response of rock mass in an earthquake is studied.

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Acknowledgements

The authors are grateful for the financial support from the National Natural Science Foundation of China (41977233, 42272338), the National Key R&D Program of China (No. 2017YFC1501001-03), and the National Natural Science Foundation of Shanghai (21ZR1468500).

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Correspondence to Lu Zheng or Hong Zhang.

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Lin, Sh., Deng, T., Zheng, L. et al. Implementation of Viscoelastic Artificial Boundary and Seismic Motion Input Method in Three-Dimensional Discontinuous Deformation Analysis Method. Rock Mech Rock Eng 57, 4995–5015 (2024). https://doi.org/10.1007/s00603-024-03793-x

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  • DOI: https://doi.org/10.1007/s00603-024-03793-x

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