scholarly journals Dispersion of Love Wave in a Heterogeneous Orthotropic Layer Under Compressive Pre-Stress Lying Over an Isotropic Elastic Half-space With Rectangular Irregularity

2017 ◽  
Vol 115 ◽  
pp. 22-29
Author(s):  
Ratan Mani Prasad ◽  
Santimoy Kundu
Keyword(s):  
Half Space ◽  
Love Wave ◽  
Elastic Half Space ◽  
Orthotropic Layer

Love Wave in an Isotropic Half-Space with a Graded Layer

2013 ◽  
Vol 325-326 ◽  
pp. 252-255
Author(s):  
Li Gang Zhang ◽  
Hong Zhu ◽  
Hong Biao Xie ◽  
Jian Wang
Keyword(s):  
Shear Modulus ◽  
Half Space ◽  
Analytical Solutions ◽  
Love Wave ◽  
Elastic Half Space ◽  
Functionally Graded ◽  
Thickness Direction ◽  
Vibration Model ◽  
General Dispersion ◽  
Functionally Graded Layer

This work addresses the dispersion of Love wave in an isotropic homogeneous elastic half-space covered with a functionally graded layer. First, the general dispersion equations are given. Then, the approximation analytical solutions of displacement, stress and the general dispersion relations of Love wave in both media are derived by the WKBJ approximation method. The solutions are checked against numerical calculations taking an example of functionally graded layer with exponentially varying shear modulus and density along the thickness direction. The dispersion curves obtained show that a cut-off frequency arises in the lowest order vibration model.

Love wave in an isotropic homogeneous elastic half-space with a functionally graded cap layer

2014 ◽  
Vol 231 ◽  
pp. 93-99 ◽  
Author(s):  
Hong Zhu ◽  
Ligang Zhang ◽  
Jiecai Han ◽  
Yumin Zhang
Keyword(s):  
Half Space ◽  
Love Wave ◽  
Elastic Half Space ◽  
Functionally Graded ◽  
Cap Layer

SH-wave velocity in a fiber-reinforced anisotropic layer overlying a gravitational heterogeneous half-space

2015 ◽  
Vol 11 (3) ◽  
pp. 386-400 ◽  
Author(s):  
Rajneesh Kakar
Keyword(s):  
Dispersion Equation ◽  
Half Space ◽  
Love Wave ◽  
Elastic Half Space ◽  
Wave Number ◽  
Fiber Reinforced ◽  
Sh Wave ◽  
Dimensionless Wave Number ◽  
Sh Waves ◽  
Content Type

Purpose – The purpose of this paper is to investigate the existence of SH-waves in fiber-reinforced layer placed over a heterogeneous elastic half-space. Design/methodology/approach – The heterogeneity of the elastic half-space is caused by the exponential variations of density and rigidity. As a special case when both the layers are homogeneous, the derived equation is in agreement with the general equation of Love wave. Findings – Numerically, it is observed that the velocity of SH-waves decreases with the increase of heterogeneity and reinforced parameters. The dimensionless phase velocity of SH-waves increases with the decreases of dimensionless wave number and shown through figures. Originality/value – In this work, SH-wave in a fiber-reinforced anisotropic medium overlying a heterogeneous gravitational half-space has been investigated analytically and numerically. The dispersion equation for the propagation of SH-waves has been observed in terms of Whittaker function and its derivative of second degree order. It has been observed that on the removal of heterogeneity of half-space, and reinforced parameters of the layer, the derived dispersion equation reduces to Love wave dispersion equation thereby validates the solution of the problem. The equation of propagation of Love wave in fiber-reinforced medium over a heterogeneous half-space given by relevant authors is also reduced from the obtained dispersion relation under the considered geometry.

Love wave propagation in a piezoelectric layer overlying in an inhomogeneous elastic half-space

2013 ◽  
Vol 21 (13) ◽  
pp. 2553-2568 ◽  
Author(s):  
Santanu Manna ◽  
Santimoy Kundu ◽  
Shishir Gupta
Keyword(s):  
Wave Propagation ◽  
Half Space ◽  
Piezoelectric Layer ◽  
Love Wave ◽  
Elastic Half Space

scholarly journals A slip wave solution in antiplane elasticity

2016 ◽  
Vol 208 (3) ◽  
pp. 1305-1307 ◽  
Author(s):  
K. Ranjith
Keyword(s):  
Half Space ◽  
Wave Solution ◽  
Elastic Layer ◽  
Love Wave ◽  
Elastic Half Space ◽  
Antiplane Elasticity ◽  
Companion Solution

Abstract It is shown that a slip wave solution exists for antiplane sliding of an elastic layer on an elastic half-space. It is a companion solution to the well-known Love wave solution.

scholarly journals Propagation of Surface Waves in a Homogeneous Layer of Finite Thickness over an Initially Stressed Functionally Graded Magnetic-Electric-Elastic Half-Space

2015 ◽  
Vol 45 (1) ◽  
pp. 69-86 ◽  
Author(s):  
Li Li ◽  
P. J. Wei
Keyword(s):  
Boundary Conditions ◽  
Half Space ◽  
Love Wave ◽  
Short Circuit ◽  
Finite Thickness ◽  
Elastic Half Space ◽  
Open Circuit ◽  
Functionally Graded ◽  
Initial Stresses ◽  
Homogeneous Layer

Abstract The propagation behaviour of Love wave in an initially stressed functionally graded magnetic-electric-elastic half-space carrying a homogeneous layer is investigated. The material parameters in the substrate are assumed to vary exponentially along the thickness direction only. The velocity equations of Love wave are derived on the electrically or magnetically open circuit and short circuit boundary conditions, based on the equations of motion of the graded magnetic-electric-elastic mate- rial with the initial stresses and the free traction boundary conditions of surface and the continuous boundary conditions of interface. The dispersive curves are obtained numerically and the influences of the initial stresses and the material gradient index on the dispersive curves are dis- cussed. The investigation provides a basis for the development of new functionally graded magneto-electro-elastic surface wave devices.

On a technique for deriving explicit transfer matrices of orthotropic layers

2015 ◽  
Vol 37 (4) ◽  
pp. 303-315 ◽  
Author(s):  
Pham Chi Vinh ◽  
Nguyen Thi Khanh Linh ◽  
Vu Thi Ngoc Anh
Keyword(s):  
Wave Propagation ◽  
Explicit Form ◽  
Half Space ◽  
Transfer Matrix ◽  
Rayleigh Waves ◽  
Secular Equation ◽  
Transfer Matrices ◽  
Orthotropic Layer ◽  
Wave Propagation Problem ◽  
Arbitrary Thickness

This paper presents  a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.

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