Estimating the effects of imperfect bonding and size-dependency on Love-type wave propagation in functionally graded orthotropic material under the influence of initial stress

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.

Download Full-text

Analysis of size dependency on Love-type wave propagation in a functionally graded piezoelectric smart material

Mathematics and Mechanics of Solids ◽

10.1177/1081286520909522 ◽

2020 ◽

Vol 25 (8) ◽

pp. 1517-1533 ◽

Cited By ~ 2

Author(s):

Vanita Sharma ◽

Satish Kumar

Keyword(s):

Wave Propagation ◽

Electromechanical Coupling ◽

Electromechanical Coupling Factor ◽

Coupling Factor ◽

Functionally Graded ◽

Practical Application ◽

Microstructural Parameters ◽

Type Wave ◽

And Performance ◽

Functionally Graded Piezoelectric

This study investigates Love-type wave propagation in a layered structure consisting of a functionally graded piezoelectric material (FGPEM) stratum followed by a semi-infinite couple-stress substrate exhibiting microstructural properties. Dispersion relations are obtained for electrically open and short conditions. Possible particular cases are discussed. The dispersion relation is reduced to the classical Love wave equation to validate the results. The influence of microstructural parameters, electromechanical coupling factor, thickness, functional gradedness and material parameters of the FGPEM stratum on the phase velocity of the Love-type wave has been scrutinized and illustrated graphically for electrically open and short conditions. The findings have meaningful practical application in the enhancement of efficiency and performance of sensors and transducers.

Download Full-text

Influence of initial stress, irregularity and heterogeneity on Love-type wave propagation in double pre-stressed irregular layers lying over a pre-stressed half-space

Journal of Earth System Science ◽

10.1007/s12040-015-0620-7 ◽

2015 ◽

Vol 124 (7) ◽

pp. 1457-1474 ◽

Cited By ~ 2

Author(s):

ABHISHEK KUMAR SINGH ◽

AMRITA DAS ◽

ZEENAT PARWEEN ◽

AMARES CHATTOPADHYAY

Keyword(s):

Wave Propagation ◽

Initial Stress ◽

Half Space ◽

Type Wave

Download Full-text

The Effect of Viscosity and Heterogeneity on Propagation of G–Type Waves

International Journal of Applied Mathematics and Computer Science ◽

10.1515/amcs-2017-0018 ◽

2017 ◽

Vol 27 (2) ◽

pp. 253-260

Author(s):

Shishir Gupta ◽

Keyword(s):

Wave Propagation ◽

Closed Form ◽

Dispersion Equation ◽

Initial Stress ◽

Half Space ◽

Plane Surface ◽

Lower Half Space ◽

Type Wave ◽

Phase And Group Velocities ◽

Group Velocities

AbstractEarthquakes yield motions of massive rock layers accompanied by vibrations which travel in waves. This paper analyses the possibility of G-type wave propagation along the plane surface at the interface of two different media which is assumed to be heterogeneous and viscoelastic. The upper layer is considered to be viscoelastic and the lower half space is considered to be an initially stressed heterogeneous half space. The dispersion equation, as well as the phase and group velocities, is obtained in closed form. The dispersion equation agrees with the classical Love type wave. The effects of the nonhomogeneity of the parameters and the initial stress on the phase and group velocities are expressed by means of a graph.

Download Full-text