The Orthotropy Effect of Underground Inclusion on the Seismic Response of Ground Surface
This paper presents a formulation of the attenuated orthotropic time-domain half-space boundary element method for analyzing the orthotropic effect of underground inclusions subjected to transient SH-waves. The stress-free boundary condition at the ground surface is satisfied using wave source image...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | fas |
| Published: |
Sharif University of Technology
2025-03-01
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| Series: | مهندسی عمران شریف |
| Subjects: | |
| Online Access: | https://sjce.journals.sharif.edu/article_23630_690612a446b40cccb1f2ba3f8547c05d.pdf |
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| Summary: | This paper presents a formulation of the attenuated orthotropic time-domain half-space boundary element method for analyzing the orthotropic effect of underground inclusions subjected to transient SH-waves. The stress-free boundary condition at the ground surface is satisfied using wave source image theory. To account for material damping, the Barkan approach is employed to attenuate the half-space by introducing a constant logarithmic reduction into the modified boundary integral equation. This method is easily implemented in a time-domain computer code for analyzing seismic homogeneous orthotropic mediums. To model underground inclusions, a sub-structuring approach is introduced to ensure continuity conditions at interfaces based on node position and normal direction. Several practical examples involving SH-waves are solved and compared with existing literature to validate surface response, particularly focusing on isotropic convergence. A favorable agreement is found between responses, confirming the capability of the proposed method for simple modeling of orthotropic subsurface features. Finally, in the form of an advanced numerical study, the surface motions of orthotropic models, including an underground inclusion embedded in a linear elastic half-space were successfully obtained under transient SH-wave propagation. Utilizing the time-domain boundary element approach, a simple model was developed only by discretizing the boundaries/interfaces. To illustrate responses in the time/frequency-domain, a comprehensive sensitivity analysis is performed considering parameters such as frequency, shape ratio, and isotropy factor, visualized through snapshots, seismograms, and amplification patterns. Results demonstrate that orthotropic anisotropy significantly influences seismic patterns of ground surfaces, highlighting the impact of mentioned parameter variations. |
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| ISSN: | 2676-4768 2676-4776 |