Creeping wave propagation constants for impedance boundary conditions

1964 ◽  
Vol 12 (6) ◽  
pp. 764-766 ◽  
Author(s):  
W. Streifer
Keyword(s):  
Wave Propagation ◽  
Boundary Conditions ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions ◽  
Creeping Wave

The Effect of Rotation on Propagation of Rayleigh Wave in an Incompressible Monoclinic Elastic Solid

2020 ◽  
Vol 36 (4) ◽  
pp. 485-495
Author(s):  
Baljinder Kaur ◽  
Baljeet Singh
Keyword(s):  
Wave Propagation ◽  
Boundary Conditions ◽  
Rayleigh Wave ◽  
Half Space ◽  
Secular Equation ◽  
Elastic Solid ◽  
Elastic Materials ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions ◽  
Impedance Parameters

ABSTRACTIn this paper, the Rayleigh wave propagation is investigated in rotating half-space of incompressible monoclinic elastic materials which are subjected to the impedance boundary conditions. In particular, the explicit secular equation of the Rayleigh wave is obtained. The main objective of this paper is to illustrate the dependence of dimensionless speed of Rayleigh wave on rotation, anisotropy and impedance parameters. An algorithm in MATLAB software is developed to solve the secular equation of Rayleigh wave. The speed of Rayleigh wave is plotted against rotation, anisotropy and impedance parameters.

scholarly journals Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions

1997 ◽  
Vol 20 (2) ◽  
pp. 397-402 ◽  
Author(s):  
E. M. E. Zayed
Keyword(s):  
Riemannian Manifold ◽  
Boundary Conditions ◽  
Finite Number ◽  
Spectral Function ◽  
Compact Riemannian Manifold ◽  
Smooth Boundary ◽  
Beltrami Operator ◽  
Smooth Functions ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions

The spectral functionΘ(t)=∑i=1∞exp(−tλj), where{λj}j=1∞are the eigenvalues of the negative Laplace-Beltrami operator−Δ, is studied for a compact Riemannian manifoldΩof dimension “k” with a smooth boundary∂Ω, where a finite number of piecewise impedance boundary conditions(∂∂ni+γi)u=0on the parts∂Ωi(i=1,…,m)of the boundary∂Ωcan be considered, such that∂Ω=∪i=1m∂Ωi, andγi(i=1,…,m)are assumed to be smooth functions which are not strictly positive.

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