Mode conversion relation for elastic waves scattered by a cylindrical obstacle in a solid

1974 ◽  
Vol 56 (6) ◽  
pp. 1899-1901 ◽  
Author(s):  
Timothy S. Lewis ◽  
David W. Kraft
2019 ◽  
Vol 125 (21) ◽  
pp. 215101 ◽  
Author(s):  
Ji-En Wu ◽  
Ruixia Hu ◽  
Bing Tang ◽  
Xiaoyun Wang ◽  
Han Jia ◽  
...  

Author(s):  
Tae-Eon Kim ◽  
Han-Yong Chun ◽  
Jin-Oh Kim ◽  
Joon-Kwan Park

Wave Motion ◽  
1996 ◽  
Vol 23 (2) ◽  
pp. 181-201 ◽  
Author(s):  
W. Kohler ◽  
G. Papanicolaou ◽  
B. White

Wave Motion ◽  
1996 ◽  
Vol 23 (1) ◽  
pp. 1-22 ◽  
Author(s):  
W. Kohler ◽  
G. Papanicolaou ◽  
B. White

Author(s):  
Agnès Maurel ◽  
Vincent Pagneux ◽  
Denis Boyer ◽  
Fernando Lund

We address the problem of an elastic wave coherently propagating through a two-dimensional polycrystal. The main source of scattering is taken to be the interaction with grain boundaries that are in turn modelled as line distribution of dislocations—a good approximation for low angle grain boundaries. First, the scattering due to a single linear array is worked out in detail in a Born approximation, both for longitudinal and transverse polarization and allowing for mode conversion. Next, the polycrystal is modelled as a continuum medium filled with such lines that are in turn assumed to be randomly distributed. The properties of the coherent wave are worked out in a multiple scattering formalism, with the calculation of a mass operator, the main technical ingredient. Expansion of this operator to second-order in perturbation theory gives expressions for the index of refraction and attenuation length. This work is motivated by two sources of recent experiments: firstly, the experiments of Zhang et al . (Zhang, G., Simpson Jr, W. A., Vitek, J. M., Barnard, D. J., Tweed, L. J. & Foley J. 2004 J. Acoust. Soc. Am. 116 , 109–116.) suggesting that current understanding of wave propagation in polycrystalline material fails to interpret experimental results; secondly, the experiments of Zolotoyabko & Shilo who show that dislocations are potentially strong scatterers for elastic waves.


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