Resonance scattering of elastic waves by an elastic sphere in an elastic medium

1984 ◽  
Vol 76 (S1) ◽  
pp. S9-S9
Author(s):  
D. Brill ◽  
G. Gaunaurd
Keyword(s):  
Elastic Medium ◽  
Elastic Waves ◽  
Resonance Scattering ◽  
Elastic Sphere ◽  
Scattering Of Elastic Waves

Fast and slow interaction of elastic waves with platonic clusters

2011 ◽  
Vol 467 (2136) ◽  
pp. 3509-3529 ◽  
Author(s):  
Michael H. Meylan ◽  
Ross C. McPhedran
Keyword(s):  
Elastic Waves ◽  
Early Time ◽  
Approximate Solutions ◽  
Wave Profile ◽  
Flexural Wave ◽  
Flexural Waves ◽  
Analytical Extension ◽  
Scattering Of Elastic Waves ◽  
Classical Models ◽  
The Time Domain

We study the scattering of elastic waves by platonic clusters in the time domain, both for plane wave excitations and for a specified initial wave profile. We show that we can use an analytical extension of our problem to calculate scattering frequencies of the solution. These allow us to calculate approximate solutions that give the flexural wave profile accurately in and around the cluster for large times. We also discuss the early-time behaviour of flexural waves in terms of the classical models of Sommerfeld and Brillouin.

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