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Reflection and refraction of SH waves at a combined interface

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Abstract

In the present paper, we investigated the reflection and refraction of SH waves at a non-ideal interface between two elastic half-spaces. By modelling the non-ideal interface as two thin membranes (in the scope of surface/interfacial elasticity) and a layer of springs between the two membranes, we established a combined model for the non-ideal interface. We analytically derived the reflection and transmission coefficients as well as the phase shifts of the reflected and transmitted waves under this new model. This combined interface model can degenerate to other interface models by taking certain limits of the interface parameters. To learn more about the nature of the interface models, we presented numerical examples of the reflection and transmission coefficients and the phase shifts under various interface models.

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Acknowledgements

Jianmin Long would like to thank the support from the National Natural Science Foundation of China (11702081) and the Fundamental Research Funds for the Central Universities (2019B08714).

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Authors and Affiliations

  1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore, 639798, Republic of Singapore

    Hui Fan

  2. College of Mechanics and Materials, Hohai University, Nanjing, 210098, China

    Jianmin Long

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  1. Hui Fan
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Correspondence to Jianmin Long.

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Fan, H., Long, J. Reflection and refraction of SH waves at a combined interface. Arch Appl Mech 93, 3395–3409 (2023). https://doi.org/10.1007/s00419-023-02446-9

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