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Analytical solution to the SH wave scattering problem caused by a circular cavity in a half space with inhomogeneous modulus

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Abstract

In this work, the scattering problem of SH wave caused by circular cavity in half space with inhomogeneous shear modulus is solved. The shear modulus is assumed to vary in two dimensions. Based on the complex function theory and conformal mapping technique, the analytical expressions of the displacement field and stress field in half space are obtained. The unknown coefficient is determined according to the boundary condition. The numerical results show that the inhomogeneous parameters, the reference wave number, and the buried depth of the cavity have obvious effects on the displacement amplitude of the horizontal surface and the stress concentration around the circular cavity.

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Acknowledgements

This work is supported by the National Key R&D Program of China (Grant No. 2019YFC1509301), the National Natural Science Foundation of China (Grant No. 11872156), the Fundamental Research Funds for the Central Universities (Grant No. 3072020CFT0202) and the program for Innovative Research Team in China Earthquake Administration

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Authors and Affiliations

  1. College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001, China

    Jinlai Bian, Zailin Yang, Guanxixi Jiang, Yong Yang & Menghan Sun

  2. Key Laboratory of Advanced Material of Ship and Mechanics, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China

    Zailin Yang, Yong Yang & Menghan Sun

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  1. Jinlai Bian
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  2. Zailin Yang
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  3. Guanxixi Jiang
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  4. Yong Yang
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  5. Menghan Sun
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Correspondence to Menghan Sun.

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Bian, J., Yang, Z., Jiang, G. et al. Analytical solution to the SH wave scattering problem caused by a circular cavity in a half space with inhomogeneous modulus. Meccanica 56, 705–709 (2021). https://doi.org/10.1007/s11012-021-01313-7

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  • DOI: https://doi.org/10.1007/s11012-021-01313-7

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