Existence and uniqueness of Rayleigh waves with normal impedance boundary conditions and formula for the wave velocity

Author:

Giang Pham Thi Ha,Vinh Pham Chi

Funder

National Foundation for Science and Technology Development

Publisher

Springer Science and Business Media LLC

Subject

General Engineering,General Mathematics

Reference41 articles.

1. Rayleigh L (1885) On waves propagating along the plane surface of an elastic solid. Proc R Soc Lond A 17:4–11

2. Adams SDM, Craster RV, Williams DP (2007) Rayleigh waves guided by topography. Proc R Soc Lond A 463:531–550

3. Godoy E, Durn M, Ndlec J-C (2012) On the existence of surface waves in an elastic half-space with impedance boundary conditions. Wave Motion 49:585–594

4. Malischewsky PG (1987) Surface waves and discontinuities. Elsevier, Amsterdam

5. Antipov YA (2002) Diffraction of a plane wave by a circular cone with an impedance boundary condition. SIAM J Appl Math 62:1122–1152

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the existence of Rayleigh waves with full impedance boundary condition;Mathematics and Mechanics of Solids;2024-08-14

2. The non-unique existence of Rayleigh waves in nonlocal elastic half-spaces;Zeitschrift für angewandte Mathematik und Physik;2023-05-24

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