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Wave Scattering by Crack Under Shock P-Wave in an Elastic Half-Space

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Abstract

Purpose

Cracks widely exist in soil or rock. Its existence and complexity cannot be ignored for the safety of earthquake resistance and explosion resistance of aboveground or underground structures built in sites with cracks.

Methods

The site with cracks can be regarded as a local site, a high-precision indirect boundary element method (IBEM) is employed to investigate the wave scattered effects by semi-elliptical crack or straight crack in an elastic half-space under shock waves.

Results

The analysis results indicate that the buried depth of crack, the incidence angle of wave and the incidence frequency of wave have an obvious influence on the surface displacements and the displacements of medium around the crack, and the crack shape also has a large influence on the wave focusing effect. As the frequency increases, the displacements of surface and medium near the crack change more and more violently. The crack leads to the significant amplification of the displacement amplitude of half-space, and the peak of normalized amplitude near the resonance frequency is even greater than 10.

Conclusion

As a result, the special attention should be paid to the influence of cracks in anti-explosion and seismic design of underground structures.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under grants (No.51878108, No.51908401), the key projects of Tianjin science and technology support program (No.17YFZCSF01140), and Tianjin Municipal Science and Technology Bureau (No.19PTZWHZ00080).

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Authors and Affiliations

  1. School of Civil Engineering, Joint Research Centre for Protective Infrastructure Technology and Environmental Green Bioprocess, Tianjin Chengjian University, Tianjin, 300384, China

    Hai Zhang, Tianyu Zhao, Dai Wang & Ying Xu

  2. Tianjin Key Laboratory of Civil Structure Protection and Reinforcement, Tianjin, 300384, China

    Dai Wang

  3. Research and Development Center of Civil Engineering Technology, Dalian University, Dalian, 11662, Liaoning, China

    Qiang Pei

  4. Tianjin Urban Construction Management and Vocation Technology College, Tianjin, 300134, China

    Hui Tian

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  1. Hai Zhang
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  2. Tianyu Zhao
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Correspondence to Dai Wang.

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Zhang, H., Zhao, T., Wang, D. et al. Wave Scattering by Crack Under Shock P-Wave in an Elastic Half-Space. J. Vib. Eng. Technol. 10, 425–443 (2022). https://doi.org/10.1007/s42417-021-00385-9

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  • DOI: https://doi.org/10.1007/s42417-021-00385-9

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