Analytical study on the propagation of rectilinear semi-infinite crack due to Love-type wave propagation in a structure with two dissimilar transversely isotropic layers

2018 ◽  
Vol 199 ◽  
pp. 201-219 ◽  
Author(s):  
R.P. Yadav ◽  
A.K. Singh ◽  
A. Chattopadhyay
Keyword(s):  
Wave Propagation ◽  
Analytical Study ◽  
Transversely Isotropic ◽  
Type Wave

scholarly journals The influence of heterogeneity and initial stress on the propagation of Love-type wave in a transversely isotropic layer subjected to rotation

2021 ◽  
Vol 104 (3) ◽  
pp. 003685042110414
Author(s):  
Fatimah Salem Bayones ◽  
Nahed Sayed Hussein ◽  
Abdelmooty Mohamed Abd-Alla ◽  
Amnah Mohamed Alharbi
Keyword(s):  
Wave Propagation ◽  
Dispersion Relation ◽  
Dispersion Equation ◽  
Initial Stress ◽  
Transversely Isotropic ◽  
Wave Number ◽  
Isotropic Layer ◽  
Rigid Foundation ◽  
Type Wave ◽  
Transversely Isotropic Layer

Introduction: In this paper, a mathematical model of Love-type wave propagation in a heterogeneous transversely isotropic elastic layer subjected to initial stress and rotation of the resting on a rigid foundation. Frequency equation of Love-type wave is obtained in closed form. The material constants and initial stress have been taken as space dependent and arbitrary functions of depth in the respective media. Objectives: The dispersion equation is determined to study the effect of different types of parameters such as inhomogeneity, initial stress, rotation, wave number, the phase velocity on the Love-type wave propagation. Methods: The analytical solution has been obtained, we have used the separation of variables, method and the numerical solution using the bisection method implemented in MATLAB. Results: We present a general dispersion relation to describe the impacts as the propagation of Love-type waves in the structures. Numerical results analyzing the dispersion equation are discussed and presented graphically. Moreover, the obtained dispersion relation is found in well agreement with the classical case in isotropic and transversely isotropic layer resting on a rigid foundation. Finally, some graphical presentations have been made to assess the effects of various parameters in the plane wave propagation in elastic media of different nature.

Rayleigh-type wave propagation on a transversely isotropic viscoelastic layer with yielding and rigid foundations

2017 ◽  
Vol 26 (2) ◽  
pp. 107-118
Author(s):  
Amit Kumar Verma ◽  
Amares Chattopadhyay ◽  
Mriganka Shekhar Chaki ◽  
Abhishek Kumar Singh
Keyword(s):  
Wave Propagation ◽  
Transversely Isotropic ◽  
Viscoelastic Layer ◽  
Type Wave

Analytical study of rectangle wave propagation in electromangetic field using FDTD, CIP, and R-CIP methods

2006 ◽  
Vol 48 (10) ◽  
pp. 1940-1943 ◽  
Author(s):  
Shinya Watanabe ◽  
Youichi Kakuta ◽  
Osamu Hashimoto
Keyword(s):  
Wave Propagation ◽  
Analytical Study

Wave Propagation in Transversely Isotropic, Layered Cylinders

1971 ◽  
Vol 97 (2) ◽  
pp. 541-558
Author(s):  
Henry E. Keck ◽  
Anthony E. Armenàkas
Keyword(s):  
Wave Propagation ◽  
Transversely Isotropic

Analytical study on shear wave propagation in anisotropic dry sandy spherical layered structure

2021 ◽  
Author(s):  
Pulkit Kumar ◽  
Moumita Mahanty ◽  
Abhishek Kumar Singh ◽  
Amares Chattopadhyay
Keyword(s):  
Wave Propagation ◽  
Shear Wave ◽  
Layered Structure ◽  
Analytical Study
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