Love wave dispersion in pre-stressed homogeneous medium over a porous half-space with irregular boundary surfaces

Kundu, Santimoy; Manna, Santanu; Gupta, Shishir

doi:10.1016/j.ijsolstr.2014.07.002

Cited by 36 publications

(11 citation statements)

References 18 publications

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“…which is the dispersion equation for homogeneous isotropic layer (bounded by a upper planar surface and lower corrugated surface) without initial stress overlying an isotropic half-space without hydrostatic state of stress [15]. …”

Section: Particular Casesmentioning

confidence: 99%

“…which is the dispersion equation for homogeneous isotropic layer (bounded by a upper corrugated surface and lower planar surface) without initial stress overlying an isotropic half-space without hydrostatic state of stress [15]. Subcase 5.2.6: When the layer (bounded by a planar surface) is without reinforcement, heterogeneity, horizontal initial stress and half-space is isotropic without hydrostatic state of stress, i.e.…”

Section: Case 52mentioning

confidence: 99%

“…Reflection and transmission coefficients due to incident plane SH-waves at a corrugated interface between two isotropic, laterally and vertically heterogeneous viscoelastic solid half spaces were obtained by Kaur et al [14]. The propagation of Love wave in an initially stressed homogeneous layer over a porous half-space with irregular boundary surfaces was investigated by Kundu et al [15]. Singh et al [16] investigated the effect of corrugation on the phase velocity of Love-type wave propagating in an orthotropic layer overlying a fibrereinforced half-space.…”

Section: Introductionmentioning

confidence: 99%

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Propagation of Love-Type Wave in a Corrugated Fibre-Reinforced Layer

2016

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The present paper investigates the propagation of Love-type waves in an initially stressed heterogeneous fibre-reinforced layer with corrugated boundary surfaces, lying over a viscoelastic half-space under hydrostatic state of stress. The dispersion relation is obtained in closed form and found to be in wellagreement with the classical Love wave equation. The substantial effect of reinforcement, position and undulation parameters (i.e. corrugation), heterogeneity, horizontal initial stress and hydrostatic state of stress are discussed briefly. It is established through comparative study that reinforced layer supports more to phase velocity of Love-type wave as compare to reinforced free layer.

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Section: Particular Casesmentioning

confidence: 99%

Section: Case 52mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Propagation of Love-Type Wave in a Corrugated Fibre-Reinforced Layer

2016

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“…It is observed that there is no influence of coefficient of viscosity of liquid layer on phase velocity when the liquid layer is bounded between poroelastic layer and half-space. Kundu et al [10] investigated the effect of initial stress on Love waves propagating in a homogeneous layer over a porous half-space with irregular boundary. It is observed that propagation of Love wave is influenced by initial stress parameters, corrugation The effect of presence of viscous liquids is studied and it is observed that presence of viscous liquids decreases phase velocity of Love waves in transversely isotropic poroelastic layer and in poroelastic layer.…”

Section: Introductionmentioning

confidence: 99%

A Study on Propagation of Waves in a Transversely Isotropic Poroelastic Layer Bounded between Two Viscous Liquids

Nageswaranath¹,

Syed²,

Modem³

et al. 2019

OJA

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Propagation of Love waves in a transversely isotropic poroelastic layer bounded between two compressible viscous liquids is presented. The equations of motion in a transversely isotropic poroelastic solid are formulated in the framework of Biot's theory. A closed-form solution for the propagation of Love waves is obtained in a transversely isotropic poroelastic layer. The complex frequency equation for phase velocity and attenuation of Love waves is derived for a transversely isotropic poroelastic layer when it is bounded between two viscous liquids and the results are compared with that of the poroelastic layer. The effect of viscous liquids on the propagation of Love waves is discussed. It is observed that the presence of viscous liquids decreases phase velocity in both transversely isotropic poroelastic layer and poroelastic layer. Results related to the case without viscous liquids have been compared with some of the earlier results and comparison shows good agreement.

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“…Propagation of different waves on these types of surface was discussed by some researchers. The dispersion of Love wave in pre-stressed homogeneous medium over a porous half-space with irregular boundary surfaces was discussed by Kundu et al (2014). Singh (2011) studied the propagation of a Love wave in a corrugated isotropic layer over a homogeneous isotropic half-space.…”

Section: Introductionmentioning

confidence: 99%

Influence of corrugated boundary surface and reinforcement of fibre-reinforced layer on propagation of torsional surface wave

Singh

Lakshman

Chattopadhyay

2016

Journal of Vibration and Control

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These days fibre-reinforced materials are frequently used in construction sector for example in dams, bridges etc. Also the earth structure and artificial structure made by human may contain irregularity or corrugation, therefore, propagation of waves and vibrations through these structures gets affected by them. Motivated by these facts the present problem aims to study the propagation of torsional surface wave in a fibre-reinforced layer with corrugated boundary surface overlying an initially stressed transversely isotropic half-space. The closed form of the dispersion equation has been deduced and the notable effect of reinforcement, undulatory parameter of corrugated boundary surfaces of the layer, corrugation parameter of upper and lower boundary surfaces of the layer, initial stress acting in half-space and wave number on the phase velocity of torsional surface wave has been exhibited. The numerical computation along with graphical illustration has been carried out for fibre-reinforced layer of carbon fibre-epoxy resin and T300/5208 graphite/ epoxy material for the transversely isotropic half-space. As a special case of the problem, deduced dispersion equation is found in well-agreement with the classical Love wave equation. Comparative study for reinforced and reinforced free layer has been performed and also depicted graphically. Moreover some analysis is made to highlight the important peculiarities of the problem.

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Love wave dispersion in pre-stressed homogeneous medium over a porous half-space with irregular boundary surfaces

Cited by 36 publications

References 18 publications

Propagation of Love-Type Wave in a Corrugated Fibre-Reinforced Layer

Propagation of Love-Type Wave in a Corrugated Fibre-Reinforced Layer

A Study on Propagation of Waves in a Transversely Isotropic Poroelastic Layer Bounded between Two Viscous Liquids

Influence of corrugated boundary surface and reinforcement of fibre-reinforced layer on propagation of torsional surface wave

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