Lacunas in two-dimensional wave propagation

1967 ◽  
Vol 63 (3) ◽  
pp. 819-825 ◽  
Author(s):  
R. Burridge
Keyword(s):  
Wave Propagation ◽  
Second Order ◽  
Sufficient Condition ◽  
Two Dimensional ◽  
Two Space Dimensions ◽  
Simple Sufficient Condition ◽  
General Work ◽  
Dimensional Wave

AbstractA simple sufficient condition is given for the existence of a lacuna in two-dimensional wave propagation governed by an equation of the second order. This work was inspired by Petrowsky's very general work (Petrowsky (3)) but for waves in two space dimensions we do not need the sophisticated machinery developed by him.

Application of boundary collocation method to two-dimensional wave propagation

2015 ◽  
Vol 29 (4) ◽  
pp. 579-587 ◽  
Author(s):  
Xue-ling Cao ◽  
Ya-ge You ◽  
Song-wei Sheng ◽  
Wen Peng ◽  
Yin Ye
Keyword(s):  
Wave Propagation ◽  
Collocation Method ◽  
Two Dimensional ◽  
Boundary Collocation Method ◽  
Dimensional Wave

A General Continuum Theory With Microstructure for Wave Propagation in Elastic Laminated Composites

1974 ◽  
Vol 41 (1) ◽  
pp. 101-105 ◽  
Author(s):  
G. A. Hegemier ◽  
T. C. Bache
Keyword(s):  
Wave Propagation ◽  
Continuum Model ◽  
Laminated Composites ◽  
Continuum Theory ◽  
Velocity Spectrum ◽  
Two Dimensional ◽  
One Dimensional ◽  
General Continuum ◽  
Hierarchy Of Models ◽  
Dimensional Wave

A continuum theory with microstructure for wave propagation in laminated composites, proposed in previous works concerning propagation normal and parallel to the laminates, is extended herein to the general two-dimensional case. Continuum model construction is based upon an asymptotic scheme in which dominant signal wavelengths are assumed large compared to typical composite microdimensions. A hierarchy of models is defined by the order of truncation of the obtained asymptotic sequence. Particular attention is given to the lowest order dispersive theory. The phase velocity spectrum of the general theory is investigated for one-dimensional wave propagation at various propagation angles with respect to the laminates. Retention of all terms in the asymptotic sequence is found to yield the exact elasticity spectrum, while spectral collation of the lowest order dispersive theory with the first three modes of the exact theory gives excellent agreement.

scholarly journals Two-Dimensional Wave Propagation in Layered Periodic Media

2014 ◽  
Vol 74 (6) ◽  
pp. 1852-1869 ◽  
Author(s):  
Manuel Quezada de Luna ◽  
David I. Ketcheson
Keyword(s):  
Wave Propagation ◽  
Two Dimensional ◽  
Periodic Media ◽  
Dimensional Wave
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