Anti-Plane Wave Scattering by a Circular Cavity in Complex Stratified Sites Based on the Hamilton System-Based Derivation of a Novel SBFEM

ABSTRACT

For mathematical convenience, in scattering research, foundation soil is generally oversimplified to be uniform or horizontally stratified site. This study aims to evaluate anti-plane scattering by a circular cavity in complex stratified sites. To simulate the complex stratified sites, a novel scaled boundary finite element method (SBFEM) for scalar waves is first derived in the Hamilton system. The scattering analysis is performed utilizing the substructure replacement method. Numerical examples verify the accuracy of the method. Finally, the effects of the inclined and discontinuous stratified sites on the wave scattering of a circular cavity are investigated in frequency and time domains.

KEYWORDS:

• Complex stratified site
• circular cavity
• SBFEM
• Hamilton system
• anti-plane wave scattering

Acknowledgments

The authors would like to acknowledge the financial supports of the Key Research and Development Projects of Tibet Autonomous Region of China (Grant NO. XZ202101ZY0002G), the Opening Research Fund Program of Shandong Key Laboratory of Civil Engineering Disaster Prevention and Mitigation (Grant NO. CDPM2021KF15).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data Availability Statement

Data available on request from the authors. https://doi.org/10.17632/x3ts5n3mmz.1

Additional information

Funding

This work was supported by the [Key Research and Development Projects of Tibet Autonomous Region of China] under Grant [XZ202101ZY0002G]; [Opening Research Fund Program of Shandong Key Laboratory of Civil Engineering Disaster Prevention and Mitigation] under Grant [CDPM2021KF15]; [China National Science Foundation] under Grant [52209157].