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Dynamic analysis of layered elastic medium by TD-BEM using the iteration technique in the whole time domain

Author

Listed:
  • Qin, Xiaofei
  • Li, Hongjun
  • Zeng, Changnv

Abstract

An efficient time-domain boundary element method (TD-BEM) is originally proposed for dynamic analysis of layered elastic medium using the innovative iteration technique in the whole time domain. Based on the iteration technique, the layered elastic domain is divided into several TD-BEM sub-domains with constant material properties, which are computed separately across the whole time domain, without the requirement of iterative calculations and convergence judgment for each individual time step. Meanwhile, the connection between TD-BEM sub-domains is performed by enforcing the interfacial continuity of the field variables. In addition to achieving exceptional computational accuracy and efficiency, the independent spatial and temporal discretizations are allowed for each TD-BEM sub-domain in modeling the layered elastic medium to further improve the versatility and flexibility of the current TD-BEM. The excellent performance of the presented TD-BEM formulation for layered elastic medium is verified by several numerical applications.

Suggested Citation

  • Qin, Xiaofei & Li, Hongjun & Zeng, Changnv, 2025. "Dynamic analysis of layered elastic medium by TD-BEM using the iteration technique in the whole time domain," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 236(C), pages 284-304.
    • Handle: RePEc:eee:matcom:v:236:y:2025:i:c:p:284-304
    DOI: 10.1016/j.matcom.2025.04.018
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    References listed on IDEAS

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    1. Xiaofei Qin & Youhua Fan & Hongjun Li & Weidong Lei, 2022. "A Direct Method for Solving Singular Integrals in Three-Dimensional Time-Domain Boundary Element Method for Elastodynamics," Mathematics, MDPI, vol. 10(2), pages 1-17, January.
    2. Paffuti, Giampiero, 2019. "Galerkin method for discs capacitors," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 166(C), pages 365-381.
    3. Lei, Weidong & Qin, Xiaofei & Li, Hongjun & Fan, Youhua, 2022. "Causality condition relevant functions-orientated analytical treatment on singularities in 3D TD-BEM," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    4. Shiv Shankar Kumar & Arindam Dey & A. Murali Krishna, 2018. "Importance of Site-Specific Dynamic Soil Properties for Seismic Ground Response Studies: Ground Response Analysis," International Journal of Geotechnical Earthquake Engineering (IJGEE), IGI Global Scientific Publishing, vol. 9(1), pages 78-98, January.
    5. Ji, Duofa & Lei, Weidong & Li, Hongjun, 2016. "Corner treatment by assigning dual tractions to every node for elastodynamics in TD-BEM," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 125-135.
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