Degeneracies in the theory of plane harmonic wave propagation in anisotropic heat–conducting elastic media

1997 ◽  
Vol 355 (1722) ◽  
pp. 155-188 ◽  
Author(s):  
A. L. Shuvalov ◽  
P. Chadwick
Keyword(s):  
Wave Propagation ◽  
Harmonic Wave ◽  
Heat Conducting ◽  
Elastic Media ◽  
Plane Harmonic Wave

Plane harmonic wave propagation in three-dimensional composite media

1999 ◽  
Vol 33 (4) ◽  
pp. 263-282 ◽  
Author(s):  
Todd W. McDevitt ◽  
Gregory M. Hulbert ◽  
Noboru Kikuchi
Keyword(s):  
Wave Propagation ◽  
Harmonic Wave ◽  
Three Dimensional ◽  
Composite Media ◽  
Plane Harmonic Wave

scholarly journals Penetration Effect: Exotic Behavior of a Wave in Anisotropic Media

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
K. Vytovtov ◽  
O. Pischin
Keyword(s):  
Wave Propagation ◽  
Anisotropic Medium ◽  
Harmonic Wave ◽  
Anisotropic Media ◽  
Ordinary Wave ◽  
Bulk Wave ◽  
Plane Harmonic Wave ◽  
Penetration Effect ◽  
Reflected Wave ◽  
First Time

Plane harmonic wave propagation along an interface between vacuum and a semi-infinite uniaxial anisotropic medium is considered. It is shown that there is a bulk wave within an anisotropic medium in this case. It is also proved for the first time that a reflected wave must propagate perpendicularly to an interface. Moreover, a reflected wave is absent in the case of ordinary wave propagation.

Wave Propagation in Two-Dimensional Nonlinear Periodic Lattices

2009 ◽  
Author(s):  
Raj K. Narisetti ◽  
Massimo Ruzzene ◽  
Michael J. Leamy
Keyword(s):  
Wave Propagation ◽  
Linear Models ◽  
Periodic Structures ◽  
Harmonic Wave ◽  
Excitation Amplitude ◽  
Pass Band ◽  
Perturbation Approach ◽  
Nonlinear Stiffness ◽  
Two Dimensional ◽  
Low Amplitude

This paper investigates wave propagation in two-dimensional nonlinear periodic structures subject to point harmonic forcing. The infinite lattice is modeled as a springmass system consisting of linear and cubic-nonlinear stiffness. The effects of nonlinearity on harmonic wave propagation are analytically predicted using a novel perturbation approach. Response is characterized by group velocity contours (derived from phase-constant contours) functionally dependent on excitation amplitude and the nonlinear stiffness coefficients. Within the pass band there is a frequency band termed the “caustic band” where the response is characterized by the appearance of low amplitude regions or “dead zones.” For a two-dimensional lattice having asymmetric nonlinearity, it is shown that these caustic bands are dependent on the excitation amplitude, unlike in corresponding linear models. The analytical predictions obtained are verified via comparisons to responses generated using a time-domain simulation of a finite two-dimensional nonlinear lattice. Lastly, the study demonstrates amplitude-dependent wave beaming in two-dimensional nonlinear periodic structures.

Refined Theories for the Dynamic Analysis of Sandwich Structures

2017 ◽  
Author(s):  
Serge Abrate
Keyword(s):  
Wave Propagation ◽  
Dynamic Analysis ◽  
Dynamic Loading ◽  
Sandwich Structures ◽  
Harmonic Wave ◽  
Dispersion Relations ◽  
Sandwich Beams ◽  
New Models ◽  
The Individual ◽  
Selection Of

The objective of this study is to give an overview of existing theories for analyzing the behavior of sandwich beams and plates and to develop an approach for evaluating their behavior under dynamic loading. The dispersion relations for harmonic wave propagation through sandwich structures are shown to be a sound basis for evaluating whether the individual layers are modeled properly. The results provide a guide in the selection of existing models or the development of new models.

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