Dispersion and attenuation of torsional wave in a viscoelastic layer bonded between a layer and a half-space of dry sandy media

Kundu, Santimoy; Alam, Parvez; Gupta, Shishir

doi:10.1007/s10483-017-2239-8

Cited by 28 publications

(8 citation statements)

References 30 publications

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“…exhibit the property of the viscoelastic. Alam et al. (2017) carried out the dispersion and attenuation of torsional waves in a viscoelastic layer bounded by a layer and half-space of sandy media.…”

Section: Introductionmentioning

confidence: 99%

Study of the SH-wave propagation in an MEFR layer bounded by heterogeneous viscoelastic layer and elastic half-space

Rajak

Kundu

Kumhar

et al. 2022

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PurposeThe purpose of this study is stated regarding the impact of the horizontally polarized shear wave vibration on a composite medium in the terms of phase and damped velocity.Design/methodology/approachThe assumed composite is composed of magneto-elastic fiber-reinforced (MEFR) layer constrained between heterogeneous viscoelastic layer and heterogeneous elastic half-space. The considered heterogeneity is associated with the directional rigidity and mass density in the uppermost layer and half-space of quadratic and trigonometric types, respectively. The coupled field equations related to the respective medium are solved analytically by employing the method of separation of variables.FindingsThe dispersion relation of the stated problem is secured by using the continuity assumptions, imposed at the stress-free surface and the interfaces of the expressed medium. The adopted numerical examples are used to compute the dispersion relation and plot the graphs between phase/damped velocity and wave number. Parametric studies on the phase and damped velocity yield five main conclusions: (1) Phase velocity decreases with increasing value of wave number and damped velocity increases up to a certain number and then starts falling simultaneously with increasing magnitude of wave number while keeping the rest parametric values fixed. (2) The presence of heterogeneity in the upper layer enhances the phase velocity and diminishes the damped velocity, but the presence of heterogeneity in the half-space enhances both the phase and damped velocity. (3) The appearance of reinforced parameters enhances the phase velocity for the considered crystalline graphite material and diminishes the phase velocity for the rest materials (carbon fiber-epoxy resin and steel) of the MEFR layer. Similarly, damped velocity decreases for the assumed crystalline graphite material of the MEFR layer and increases for the rest materials of the MEFR layer. (4) The induced dissipation factor due to viscoelastic property shows reversal decreasing and increasing effect on phase and damped velocity of SH-wave. (5) Ascending values of the angle at which the wave crosses the magnetic field increase the phase velocity and decrease the damped velocity for all the considered MEFR examples.Originality/valueTill date, the mathematical modeling as well as vibrational analysis of wave propagation through the composite structure consisting of MEFR layer constrained between viscoelastic media and elastic half-space under the effect of different varying properties with depth remains a new challenging issue for the researchers around the globe. The current analysis is an approach to move ahead in the era of wave propagation in different realistic models based on their parametric studies. Also, these studies are very helpful to find their applications in the field of mechanical, construction, aerospace, automobile, biomedical, marine, manufacturing industries and many branches of science and technology where magnetic fields induced in elastic deformation occur.

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Section: Introductionmentioning

confidence: 99%

Study of the SH-wave propagation in an MEFR layer bounded by heterogeneous viscoelastic layer and elastic half-space

Rajak

Kundu

Kumhar

et al. 2022

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“…The viscosity in a viscoelastic body arises due to imperfect elasticity and holds both viscous and elastic properties (i.e., linear an elastic) which can be modeled as an infinite number of possible configurations of viscous dashpots and elastic springs (i.e., Kelvin-Voigt model). The complex seismic wave profile equation of seismic waves in viscoelastic medium consist the phase and damped velocities, wave number and other involved parameters Alam et al [5,6]. The real part of this frequency equation narrates the dispersion incident and the imaginary part narrates the damping incident of the wave.…”

Section: Introductionmentioning

confidence: 99%

“…The complex seismic wave profile equation of seismic waves in viscoelastic medium consist the phase and damped velocities, wave number and other involved parameters Alam et al. [5, 6]. The real part of this frequency equation narrates the dispersion incident and the imaginary part narrates the damping incident of the wave.…”

Section: Introductionmentioning

confidence: 99%

Dispersion and attenuation of SH‐waves in a temperature‐dependent Voigt‐type viscoelastic strip over an inhomogeneous half‐space

et al. 2021

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A mathematical model is presented to explore the SH-wave (horizontally polarized shear wave) propagation in a temperature-dependent viscoelastic medium laid on a vertically heterogeneous elastic half-space. Heterogeneity in the halfspace arises due to nth order depth variation in the elastic constants. Bessel's and Whittaker's functions have been used to derive the internal deformations. The expression of the complex frequency equation has been obtained with the aid of suitable boundary conditions. The decomposition of the complex frequency equation into real and imaginary parts provides dispersion and damping equations. These equations exhibited their reliance on the temperature ratio parameter, attenuation coefficient and dissipation factor due to viscoelasticity, heterogeneity and order of heterogeneity function. The impacts of the aforesaid parameters on the propagation of SH-wave have been studied numerically and demonstrated by 2D/3D graphs.

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“…Kieczynski et al [24] established the dispersion relation of Love waves in elastic layered media loaded by viscous liquid. Later on, Kumari and Sharma [25], Alam et al [5], Pandit et al [33], and Maity et al [29] have given the idea of seismic waves in various viscoelastic stratified structures.…”

Section: Introductionmentioning

confidence: 99%

Vibrational analysis of Love waves in a viscoelastic composite multilayered structure

et al. 2020

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A unified procedure is presented to investigate the dispersion and damping behavior of Love waves in a double-layered structure. The double-layered structure is comprised of a viscoelastic fiber-reinforced medium (Medium I) embedded between a viscoelastic sandy layer (Medium II) and a viscoelastic porous semi-infinite medium (Medium III). The displacement vectors for the respective medium have been obtained using analytical techniques. Using the separation of variables method and admissible boundary conditions at the free surface and the interfaces, the complex frequency equation is obtained in closed form. The substantial impact of all material parameters involved in the considered model on the phase velocity as well as damped velocity has been observed numerically and shown by graphical illustrations. The outcomes from this analysis may serve as a dynamic tool in various fields including geophysics, geotechnical, and earthquake engineering.

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Dispersion and attenuation of torsional wave in a viscoelastic layer bonded between a layer and a half-space of dry sandy media

Cited by 28 publications

References 30 publications

Study of the SH-wave propagation in an MEFR layer bounded by heterogeneous viscoelastic layer and elastic half-space

Study of the SH-wave propagation in an MEFR layer bounded by heterogeneous viscoelastic layer and elastic half-space

Dispersion and attenuation of SH‐waves in a temperature‐dependent Voigt‐type viscoelastic strip over an inhomogeneous half‐space

Vibrational analysis of Love waves in a viscoelastic composite multilayered structure

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