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Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 20 > No. 3

 
   

Review of Longitudinal Waves Propagation in Layered Media: Theory, Modeling Techniques, and Applications

PP: 733-746
doi:10.18576/amis/200313        
Author(s)
Mahmoud M. Selim, Eid R. Aboezz,
Abstract
The propagation of longitudinal waves in layered media plays a fundamental role in geophysics, civil engineering, materials science, and non-destructive testing. The longitudinal wave is a type of wave in which all particles within the medium (such as wire, air, water, glass, rock) oscillate parallel to the direction of propagation. Earlier research on the propagation of longitudinal waves within stratified media was founded on their elastic characteristics. However, recent studies on longitudinal waves indicate that the confinement of longitudinal waves, as well as their propagation behavior, can be engineered through the design of surface environments, shapes, structures, materials, etc., enabling a unique and remarkable system for the propagation of longitudinal waves in layered media. In addition to the fundamental elastic properties of longitudinal waves, as well as the elastic properties of layered media, the study of longitudinal waves may pave the way for highly integrated platforms for material models, interface conditions, and attenuation characteristics of longitudinal waves in both basic sciences and practical applications. In this study, we present a review of the propagation of longitudinal waves in elastic layered media, in a sequence of theoretical framework, analytical and numerical solutions, with the main applications of longitudinal wave propagation in engineering and scientific fields, focusing on the dispersion of elastic longitudinal waves. Furthermore, this study examines prevailing research trends, future challenges, and prospective directions for the propagation of longitudinal waves in stratified elastic media.

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