Weakly nonlocal Rayleigh waves in orthotropic half-spaces coated by an orthotropic layer with sliding contact

Pham Chi Vinh; Vu Thi Ngoc Anh; Nguyen Thi Nga

doi:10.15625/0866-7136/21845

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Authors

Pham Chi Vinh Faculty of Mathematics, Mechanics and Informatics, VNU University of Science, 334 Nguyen Trai street, Thanh Xuan district, Hanoi, Vietnam https://orcid.org/0000-0003-1267-5796
Vu Thi Ngoc Anh Faculty of Mathematics, Mechanics and Informatics, VNU University of Science, 334 Nguyen Trai street, Thanh Xuan district, Hanoi, Vietnam https://orcid.org/0009-0009-9710-5194
Nguyen Thi Nga Faculty of Mathematics, Mechanics and Informatics, VNU University of Science, 334 Nguyen Trai street, Thanh Xuan district, Hanoi, Vietnam https://orcid.org/0000-0002-0685-669X

DOI:

https://doi.org/10.15625/0866-7136/21845

Keywords:

Rayleigh waves, weakly nonlocal elasticity model, sliding contact, explicit dispersion equation

Abstract

In this paper, we study the propagation of Rayleigh waves in nonlocal orthotropic half-spaces coated by a nonlocal orthotropic layer with sliding contact using the weakly nonlocal elasticity model. This model was recently introduced and different from other existing nonlocal models it has been proven to be well-posed for all harmonic plane wave problems. The transfer matrix method and the effective boundary condition method are employed for deriving the explicit dispersion equation of Rayleigh waves. Using the obtained dispersion equation, the effect of the nonlocality and the thickness of the layer on the velocity of Rayleigh waves is considered through some numerical examples. It is shown that the nonlocality and the thickness of the layer strongly affect the velocity of Rayleigh waves and they make it decreasing. Since the dispersion equation of Rayleigh waves is totally explicit, it will be a powerful tool for monitoring the health of the layer/half-space structures during loading.

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References

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