Experimental research of elastic wave propagation in the one-dimensional medium with Hertz nonlinearity

Author(s):  
A.I. Korobov ◽  
Yu.A. Brazhkin ◽  
E.S. Sovetskaya ◽  
Wang Ning
1967 ◽  
Vol 34 (3) ◽  
pp. 725-734 ◽  
Author(s):  
L. D. Bertholf

Numerical solutions of the exact equations for axisymmetric wave propagation are obtained with continuous and discontinuous loadings at the impact end of an elastic bar. The solution for a step change in stress agrees with experimental data near the end of the bar and exhibits a region that agrees with the one-dimensional strain approximation. The solution for an applied harmonic displacement closely approaches the Pochhammer-Chree solution at distances removed from the point of application. Reflections from free and rigid-lubricated ends are studied. The solutions after reflection are compared with the elementary one-dimensional stress approximation.


Geophysics ◽  
1993 ◽  
Vol 58 (1) ◽  
pp. 177-179 ◽  
Author(s):  
John A. Scales

In a series of papers Benjamin White, Ping Sheng, George Papanicolaou and others have described the application of localization theory to the study of elastic wave propagation in randomly stratified one‐dimensional (1-D) media. They describe methods for computing the localization parameters and apply the results to sonic well‐log data. In this note, I will show that, at least in the seismic band, the results of their calculations disagree with effective medium theory. This disagreement may to be due to the lack of low‐frequency information in exploration seismic data.


2016 ◽  
Vol 139 (6) ◽  
pp. 3288-3295 ◽  
Author(s):  
Marie-Fraise Ponge ◽  
Charles Croënne ◽  
Jérôme O. Vasseur ◽  
Olivier Bou Matar ◽  
Anne-Christine Hladky-Hennion ◽  
...  

2017 ◽  
Vol 46 ◽  
pp. 382-395 ◽  
Author(s):  
R. Kolman ◽  
M. Okrouhlík ◽  
A. Berezovski ◽  
D. Gabriel ◽  
J. Kopačka ◽  
...  

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