Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media

Kakar, Shikha; Kakar, Rajneesh

doi:10.11648/j.ijmsa.20130202.15

Cited by 6 publications

(5 citation statements)

References 18 publications

(15 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In 2014, Zhang [ 24 ] studied the Rayleigh wave’s characteristics in a magneto-electro-elastic half-space with initial stress by using the quasistatic approximation and linearity assumption. Through assuming the material properties are space dependent, the Love wave propagation in non-homogeneous electro-magneto-elastic half-space was explored by employing the mathematical approach [ 25 ]. Later on, it was found that in different cross sections the surface wave velocity can have significant change due to the rotary symmetry of crystal [ 26 ].…”

Section: Introductionmentioning

confidence: 99%

Complex Rayleigh Waves in Nonhomogeneous Magneto-Electro-Elastic Half-Spaces

Jing

et al. 2021

Materials

View full text Add to dashboard Cite

The complex Rayleigh waves play an important role in the energy conversion efficiency of magneto-electro-elastic devices, so it is necessary to explore the wave propagation characteristics for the better applications in engineering. This paper modifies the Laguerre orthogonal polynomial to investigate the complex Rayleigh waves propagating in nonhomogeneous magneto-electro-elastic half-spaces. The improved method simplifies the calculation process by incorporating boundary conditions into the constitutive relations, shortens the solving time by transforming the solution of wave equation to an eigenvalue problem, and obtains all wave modes, including real and imaginary and complex wavenumbers. The three-dimensional curves of full frequency spectrum and phase velocities are presented for the better description of the conversion from complex Rayleigh wave modes to real wave ones; besides, the displacement distributions, electric and magnetic potential curves are obtained in thickness and propagation directions, respectively. Numerical results are analyzed and discussed elaborately in three cases: variation of nonhomogeneous coefficients, absence of magnetism, and absence of electricity. The results can be used to optimize and fabricate the acoustic surface wave devices of the nonhomogeneous magneto-electro-elastic materials.

show abstract

Section: Introductionmentioning

confidence: 99%

Complex Rayleigh Waves in Nonhomogeneous Magneto-Electro-Elastic Half-Spaces

Jing

et al. 2021

Materials

View full text Add to dashboard Cite

show abstract

“…In a vast majority of articles analyzing properties of Love surface waves in geophysics, sensors, and layered composite materials, Love wave waveguides were considered to be entirely lossless (Kakar and Kakar, 2012; Kundu et al, 2014; Singh, 2010). However, real Love wave waveguides have to be necessarily lossy because of the inherent viscoelastic properties of the constituent materials, and an extra loading with a viscous liquid, in the case of sensors.…”

Section: Introductionmentioning

confidence: 99%

Impact of losses on Love wave propagation in multilayered composite structures loaded with a Newtonian liquid

Kiełczyński

Szalewski

Balcerzak

et al. 2020

Journal of Vibration and Control

View full text Add to dashboard Cite

In this study, we analyze theoretically and numerically the properties of Love surface waves propagating in lossy multilayered composite waveguides, loaded on the upper surface with a Newtonian liquid. The propagation of Love surface waves was formulated in terms of a direct Sturm–Liouville problem. An analytical form of the complex dispersion equation of the Love surface wave was derived using the Thomson–Haskell transfer matrix method. By separating the complex dispersion equation into its real and imaginary parts, we obtained a set of two nonlinear algebraic equations, which were subsequently solved numerically. The effect of various physical parameters of the lossy viscoelastic waveguide on the velocity and attenuation of the Love surface wave was then analyzed numerically. It was found that because of the presence of losses in the analyzed waveguide, Love surface waves displayed a number of new original phenomena, such as resonant-like maxima in attenuation as a function of thicknesses [Formula: see text] of the first viscoelastic surface layer and thickness [Formula: see text] of the second elastic surface layer. These phenomena are completely absent in lossless waveguides.

show abstract

“…The active use of composite structures based on electroelastic and magnetoelastic materials when creating modern devices based on coupled physical and mechanical fields requires a detailed study of the physical processes of composite structures. The analytical solution for dispersion of love waves for electromagnetically short and open case was obtained in [1]. Dynamic solution for the propagation of harmonic waves in imhomogeneous magneto-electro-elastic medium made of BaTiO3 and CoFe2O4 is presented in [2].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Plane Waves in a Semi-Bounded Electro-Magneto-Elastic Medium

Levi

2020

MSF

View full text Add to dashboard Cite

The problem of harmonic oscillations in electro-electromagnetic composites is studied. Oscillations can be initiated by the extended load vector, including the horizontal and vertical components of mechanical displacements, and electrical induction distributed on top of the surface. Boundary conditions assume full mechanical coupling for all layers of the structure. Electrical conditions on the surface top can be both electrically open, and electrically shorted. Magnetic conditions are similar to electric ones and describe the continuity of fields in between two mediums, or indicate the isolation of the magnetic field between them. The Green's function of electro–magneto–elastic medium is constructed. Phase velocities are obtained for various geometric proportions and materials.

show abstract

Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media

Abstract: Abstract:A mathematical approach is taken to investigate Love wave propagation in non-homogeneous electromagneto-elastic media. The elastic media is assumed to be initially unstressed and at rest. In this study, it is assumed that mass density '

Cited by 6 publications

References 18 publications

Complex Rayleigh Waves in Nonhomogeneous Magneto-Electro-Elastic Half-Spaces

Complex Rayleigh Waves in Nonhomogeneous Magneto-Electro-Elastic Half-Spaces

Impact of losses on Love wave propagation in multilayered composite structures loaded with a Newtonian liquid

Dynamics of Plane Waves in a Semi-Bounded Electro-Magneto-Elastic Medium

Contact Info

Product

Resources

About