Love Wave in a Voigt-Type Viscoelastic Heterogeneous Layer Overlying Heterogeneous Viscoelastic Half-Space

Kakar, Rajneesh; Kakar, Shikha

doi:10.1061/(asce)gm.1943-5622.0000675

Cited by 14 publications

(10 citation statements)

References 28 publications

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“…Ke et al (2006Ke et al ( , 2005 examined Love surface waves in linear and exponential heterogeneous fluid saturated porous media. Love wave propagation in linear and exponential varying inhomogeneous voigt-type viscoelastic materials studied by Kakar and Kakar (2017). Sari and S alk (2002) considered hyperbolic spatial variation in the density of sediments in their study.…”

Section: Nomenclaturementioning

confidence: 99%

Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

Alam

Jena

Badruddin

et al. 2021

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Purpose This paper aims to study the attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips. Numerical investigations are performed for the phase and damped velocity profiles of the wave. For numerical computation purposes, water-saturated limestone and kerosene oil saturated sandstone for the first and second porous strips, respectively. Some other peculiarities have been observed and discussed. Design/methodology/approach Dispersion and attenuation characteristic of the shear wave propagations have been studied in an inhomogeneous poro-anelastic strip of finite thickness, which is clamped between an inhomogeneous poroelastic strip of finite thickness and an elastic half-space. Both the strips are initially stressed and the half-space is self-weighted. Analytical methods are used to calculate the interior deformations of the model with the involvement of special functions. The determination of the frequency equation, which includes the Bessel’s and Whittaker functions, has been obtained using the prescribed boundary conditions. Findings Impacts of attenuation coefficient, dissipation factor, inhomogeneities, initial stresses, Biot’s gravity, porosity and thickness ratio parameters on the velocity profile of the wave have been demonstrated through the graphical visuals. These parameters are playing an important role and working as a catalyst in affecting the propagation behaviour of the wave. Originality/value Inclusion of the concept of doubly layered initially stressed inhomogeneous porous structure of elastic and anelastic medium bedded over a self-weighted half-space medium brings a novelty to the existing literature related to the study of shear wave. It may be helpful to geologists, seismologists and structural engineers in the development of theoretical and practical studies.

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Section: Nomenclaturementioning

confidence: 99%

Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

Alam

Jena

Badruddin

et al. 2021

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“…Now, let us suppose that G (2) (z/z 0 ) be the Green's function which satisfies the solution of lower halfspace. Considering the case dG (2) /dz = 0 at z = H and dG (2) /dz → 0 at z → −∞ (Kakar and Kakar 2016), then equation (30) transforms into…”

Section: Qmentioning

confidence: 99%

“…Recently, Kaur et al (2017) studied the propagation of SH wave in a vertically heterogeneous viscoelastic layer lying over a micro-polar elastic half-space. Kakar and Kakar (2016) analysed the propagation of Love wave in a viscoelastic heterogeneous layer lying over a heterogeneous viscoelastic half-space. Transmission and reflection of plane SH wave through a perfectly conducting self-reinforced elastic layer sandwiched between two vertically inhomogeneous viscoelastic solid half-spaces is discussed by Chaudhary et al (2005).…”

Section: Introductionmentioning

confidence: 99%

A comparative analysis due to the effect of point source on generation of SH wave

et al. 2019

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The propagation of SH wave in a heterogeneous initially stressed viscoelastic layer lying over a heterogeneous initially stressed orthotropic half-space due to a point source is analysed mathematically. The dispersion equation of SH wave is obtained for the propagation of SH wave in a specified model. The method of Green's function and Fourier transformation is incorporated to obtain the dispersion equation. The curves of dispersion equation are sketched for various values of heterogeneous parameters and initial stress on angular frequency, phase velocity and damping velocity in respect of wave number. The dispersion equation is derived for some special cases which reduces to the classical equation of Lovetype wave. The present study reveals the effect of heterogeneous parameter and initial stress associated with both viscoelastic and orthotropic media.

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“…Immense studies on Love wave propagation in composite materials have been carried out by many researchers like Lamb wave, Love wave, and other elastic waves in isotropic and anisotropic composite materials that have been studied in [1][2][3][4]. e e ect of the reinforcement, di erent heterogeneities (viz., quadratic, linear, exponential, and hyperbolic), initial stress, several irregular boundaries (viz., parabolic, periodic, and rectangular), rigid and soft mountain surfaces, and viscosity and porosity on the phase velocity of the Love wave in several composite materials (including ber-reinforced, self-reinforced, void porous, and orthotropic) have been investigated in [5][6][7][8][9][10][11][12][13][14][15]. Mal [16] demonstrated the in uence of rectangular irregularity on the phase velocity of the Love wave at the interface of two distinct materials.…”

Section: Introductionmentioning

confidence: 99%

Anti-Plane Wave Propagation in the Functionally Graded Hybrid Structure under an External Impulsive Force: A Green’s Function Approach

Bharti

Vaishnav

2022

Mathematical Problems in Engineering

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To propagate the anti-plane wave, a hybrid layered-half-space schematic of fiber-reinforced and orthotropic materials is taken into account. Due to its importance in engineering applications, anti-plane wave propagation through functionally graded orthotropic materials has attracted a lot of attention. The functionally graded orthotropic materials in the half-space and the reinforced materials under high initial stress are utilized in the superficial layer of finite depth. To examine the effect of heterogeneity on wave phase velocity, the elastic characteristics of orthotropic materials are defined in terms of hyperbolic functions. Moreover, a rectangular plate is installed at the interface of the materials to expose the effect of irregularity in the materials. An external force (impulsive force) is applied to the wave at the point source of the disturbance to understand the influence of such a force on the phase velocity of the wave. The nonhomogeneous equations of motion are deduced by Fourier transformation and are solved analytically by Green’s function technique along with possible applications of Dirac delta function. The dispersion relation of the anti-plane wave propagation is obtained analytically. This study presents a graphic explanation of the proposed schematic and discusses the stability of the model.

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Love Wave in a Voigt-Type Viscoelastic Heterogeneous Layer Overlying Heterogeneous Viscoelastic Half-Space

Cited by 14 publications

References 28 publications

Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

A comparative analysis due to the effect of point source on generation of SH wave

Anti-Plane Wave Propagation in the Functionally Graded Hybrid Structure under an External Impulsive Force: A Green’s Function Approach

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