An Approximate Method of Analysis of the Transmission of Elastic Waves Through a Frictional Boundary

1977 ◽  
Vol 44 (4) ◽  
pp. 652-656 ◽  
Author(s):  
R. K. Miller
Keyword(s):  
Exact Solutions ◽  
Approximate Method ◽  
Analytical Method ◽  
Elastic Waves ◽  
Coulomb Friction ◽  
Shear Waves ◽  
Elastic Media ◽  
Approximate Analytical Method ◽  
Harmonic Shear ◽  
Transmission And Reflection

An approximate analytical method is presented for determining the transmission and reflection of elastic waves at a frictional boundary. The method is applied to the case of plane harmonic shear waves normally incident on a Coulomb friction boundary between semi-infinite elastic media. The accuracy of the method is determined by comparison of approximate and exact solutions in a numerical example.

Reflection, Refraction, and Absorption of Elastic Waves at a Frictional Interface: P and SV Motion

1981 ◽  
Vol 48 (1) ◽  
pp. 155-160 ◽  
Author(s):  
R. K. Miller ◽  
H. T. Tran
Keyword(s):  
Closed Form ◽  
Approximate Method ◽  
Elastic Waves ◽  
Coulomb Friction ◽  
Broad Class ◽  
Angle Of Incidence ◽  
Elastic Solids ◽  
Time Harmonic ◽  
Frictional Interface ◽  
Refracted Waves

An approximate method of analysis is presented for determining the reflection, refraction, and absorption of obliquely incident planar time-harmonic P or SV waves at a frictional interface between dissimilar elastic solids. The solids are pressed together with sufficient pressure to prevent separation, and the angle of incidence is subcritical. General expressions for the amplitudes and phases of all reflected and refracted waves are developed in closed form for a broad class of models for bonding friction. Specific results are presented for the case of identical elastic solids bonded by Coulomb friction, as an example of application of the general approach.

Possible application of approximate models for calculation of selectivity of consecutive reactions under the effect of mass transfer

1982 ◽  
Vol 47 (5) ◽  
pp. 1301-1309 ◽  
Author(s):  
František Kaštánek ◽  
Marie Fialová
Keyword(s):  
Mass Transfer ◽  
Numerical Method ◽  
Analytical Method ◽  
Approximate Analytical Method ◽  
Approximate Models ◽  
Consecutive Reactions ◽  
The Difference

The possibility of use of approximate models for calculation of selectivity of consecutive reactions is critically analysed. Simple empirical criteria are proposed which enable safer application of approximate analytical reactions. A more universal modification has been formulated by use of which the difference of selectivity calculated by the exact numerical method and by the approximate analytical method is at maximum 12%.

Propagation of coherent shear waves in scattering elastic media

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Alverède Simon ◽  
Régis Wunenburger ◽  
Tony Valier-Brasier
Keyword(s):  
Shear Waves ◽  
Elastic Media
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