Rayleigh waves with impedance boundary condition: formula for the velocity, existence and uniqueness

DOI10.1016/j.euromechsol.2016.09.011zbMath1406.74356OpenAlexW2519067529MaRDI QIDQ1658577

Nguyen Quynh Xuan, Pham Chi Vinh

Publication date: 15 August 2018

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2016.09.011

zbMATH Keywords

Rayleigh wavesimpedance boundary conditionsexact formula for the wave velocitymethod of complex function

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Surface waves in solid mechanics (74J15) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

Bounds for the Rayleigh velocity in an incompressible orthotropic plate ⋮ Three‐dimensional problem of Rayleigh waves propagating in a half‐space with restrained boundary ⋮ The non-unique existence of Rayleigh waves in nonlocal elastic half-spaces ⋮ On Rayleigh-type surface wave in incompressible nematic elastomers ⋮ Explicit formulation for the Rayleigh wave field induced by surface stresses in an orthorhombic half-plane ⋮ Existence and uniqueness of Rayleigh waves with normal impedance boundary conditions and formula for the wave velocity

Cites Work

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