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A novel enriched degree of freedom method for absorbing boundary conditions in the time-domain finite element method

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Abstract

This paper proposes an enriched degree of freedom method for absorbing boundary conditions in the time-domain finite element method (TD-FEM). In the proposed method, to reduce the reflection of the elastic waves from the artificial boundary, nodes in the absorbing domain are first enriched by additional degrees of freedom to damp the outgoing elastic waves. Next, based on the motion law of the enriched degree of freedom, a novel damping method is developed to further dampen the oscillation on the enriched degree of freedom. Then, through combination with the modified Newmark algorithm, the proposed method can be employed to efficiently absorb outgoing elastic waves. Finally, numerical tests are conducted to validate the feasibility and application of the proposed method.

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Acknowledgements

The work is supported by the Natural Science Foundation of Hubei Province (No. 2021CFB088), the National Natural Science Foundation of China (Nos. 52027814, 51839009 and 42202310), the Fundamental Research Funds for the Central Universities (No. 2042021kf0057), and the Guizhou Provincial Science and Technology Projects (No. [2020] 2004).

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Authors and Affiliations

  1. School of Civil Engineering, Wuhan University, No.8 Donghu South Road, Wuhan, 430072, China

    Junwei Chen, Zhi Zhao & Xiaoping Zhou

  2. Guizhou Provincial Key Laboratory of Rock and Soil Mechanics and Engineering Safety, Guiyang, 550025, China

    Junwei Chen

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  1. Junwei Chen
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Correspondence to Xiaoping Zhou.

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Chen, J., Zhao, Z. & Zhou, X. A novel enriched degree of freedom method for absorbing boundary conditions in the time-domain finite element method. Engineering with Computers 39, 3401–3419 (2023). https://doi.org/10.1007/s00366-022-01757-9

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