Characteristics of Torsional Wave Profiles in a Viscous Fiber-Reinforced Layer Resting over a Sandy Half-Space under Gravity

Maity, Manisha; Kundu, Santimoy; Pandit, Deepak Kr.; Gupta, Shishir

doi:10.1061/(asce)gm.1943-5622.0001207

Cited by 9 publications

(4 citation statements)

References 19 publications

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“…Some of studies are carried out by Chattaraj et al (2015), Dey et al (2002), Pal and Ghorai (2015) and Tomar and Kaur (2007). Presently, Maity et al (2018) illustrated the characteristics of torsional waves profile in viscous-reinforced layer embedded over dry sandy half-space and found that the presence of sandiness in their model has noteworthy impact on dispersion and damping curves of torsional waves.…”

Section: Introductionmentioning

confidence: 91%

Study of Love-type wave vibrations in double sandy layers on half-space of viscoelastic

Kumhar¹,

Kundu²,

Maity³

et al. 2019

MMMS

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Purpose The purpose of this paper is to examine the dependency of dispersion and damping behavior of Love-type waves on wave number in a heterogeneous dry sandy double layer of finite thickness superimposed on heterogeneous viscoelastic substrate under the influence of hydrostatic initial stress. Design/methodology/approach The mechanical properties of the material of both the dry sandy layers vary with respect to a certain depth as quadratic and hyperbolic function, while it varies as an exponential function for the viscoelastic semi-infinite medium. The method of the separation of variables is employed to obtain the complex frequency equation. Findings The complex frequency equation is separated into real and imaginary components corresponding to dispersion and damping equation. After that, the obtained result coincides with the pre-established classical equation of Love wave, as shown in Section 5. The response of all mechanical parameters such as heterogeneities, sandiness, hydrostatic stress, thickness ratio, attenuation and viscoelasticity on both the phase and damped velocity against real wave number has been discussed with the help of numerical example and graphical demonstrations. Originality/value In this work, a comparative study clarifies that the Love wave propagates with higher speed in an isotropic elastic structure as compared to the proposed model. This study may find its applications in the investigation of mechanical behavior and deformation of the sedimentary rock.

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Section: Introductionmentioning

confidence: 91%

Study of Love-type wave vibrations in double sandy layers on half-space of viscoelastic

Kumhar¹,

Kundu²,

Maity³

et al. 2019

MMMS

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“…Alam et al (2017) also looked at the traversal characteristics of torsional surface waves in a viscoelastic stratum sandwiched between two inhomogeneous sandy media. Recently Maity et al (2018) graphically illustrated the impacts of initial stress, reinforcement, viscoelasticity, inhomogeneity, gravity, and sandiness on the phase velocity and attenuation of torsional waves. Later, Singh et al (2019) analytically investigated the mechanical stresses and electrical displacements due to moving load in a heterogeneous viscoelastic-piezoelectric material (FGVPM).…”

Section: Introductionmentioning

confidence: 99%

“…Many authors, including Dey et al (2002), Tomar and Kaur (2007), Paul (1965), Sharma and Gogna (1991), and Chattopadhyay and Sharma (1982), have examined the issues with sandy medium as the layer through which surface waves propagate. Later on, the properties of torsional waves profile in viscous-reinforced layer implanted over dry sandy half-space were illustrated by Maity et al (2018). Shekhar and Parvez (2016) and Vishwakarma et al (2014) have recently published reviews on the propagation of torsional waves in dry sandy media.…”

Section: Introductionmentioning

confidence: 99%

Impact of imperfectness on the love-type wave propagation in a viscoelastic composite structure with couple stress

Kundu

Kumar

Rajak

et al. 2023

Journal of Vibration and Control

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The present paper is intended to frame-out the analytical approach to study the transference of Love-type waves in a viscoelastic sandy layer sandwiched between a size-dependent consistent couple stress to take care of earth’s interior microstructural nature and an orthotropic viscoelastic half-space. An additional parameter termed as characteristic length which is used to investigate the internal microstructural structure of the earth’s interior, which provides us the deeper insights of the analysis of wave propagation aspects. With the help of analytical variable separable technique, the closed version of dispersion equation for the Love-type waves has been derived. The impacts of different material parameters like characteristic length ( l), sandy parameter [Formula: see text], viscoelastic parameters ( F1, F2, F3), thickness ratio ( H3), and imperfectness parameter ( σ1, σ2) which are involved in this study are encapsulated by means of graphs on the phase velocity of Love-type waves. Finally, the obtained result is well match up with the classical Love wave equation. This approach of employing micro continuum theories to analyze seismic waves can bring some useful adjustments to previously established facts about seismic waves, as well as improve the applications of micro continuum theories in the field of seismology.

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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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Characteristics of Torsional Wave Profiles in a Viscous Fiber-Reinforced Layer Resting over a Sandy Half-Space under Gravity

Cited by 9 publications

References 19 publications

Study of Love-type wave vibrations in double sandy layers on half-space of viscoelastic

Study of Love-type wave vibrations in double sandy layers on half-space of viscoelastic

Impact of imperfectness on the love-type wave propagation in a viscoelastic composite structure with couple stress

Vibrational analysis of Love waves in a viscoelastic composite multilayered structure

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