Propagation of a torsional surface wave in a non-homogeneous anisotropic layer over a heterogeneous half-space

Kundu, Santimoy; Gupta, Shishir; Saha, Anup; Manna, Santanu

doi:10.1177/1077546314562877

Cited by 7 publications

(3 citation statements)

References 35 publications

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“…Here, c ij denotes the speed of a plane wave moving along the x i -axis with displacement along the x j -axis. Using equation ( 12), we haveṠ 0pi = J A 0piqj D j,q (28) in space andṠ 0pi = J A 0piqj D j,q (29) in the layer. For i = 3, the boundary conditions arė…”

Section: Love Waves At the Boundary Of The Initially Stressed Compressible Half-space And Layermentioning

confidence: 99%

“…The effect of the point source on the speed of Love waves in a homogeneous half-space and heterogeneous layer was studied in [27]. Wave propagation in an initially stressed anisotropic material and incompressible transversely isotropic elastic solid was developed in [28][29][30][31][32]. The outcome of initial stress on elastic materials is analyzed in [18,33,34], which found that the existence of initial stress exerts significant restrictions on strain energy.…”

Section: Introductionmentioning

confidence: 99%

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Love waves in compressible elastic materials with a homogeneous initial stress

Ejaz

Shams

2018

Mathematics and Mechanics of Solids

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In this paper, the motion of Love waves is considered in hyperelastic materials with an initially stressed reference configuration. Here, the Love wave is directed by a compressible layer on a compressible half-space and both are considered to be initially stressed. For the basic formulation of the problem, we make use of the nonlinear theory of elasticity and invariants of the stress tensor and deformation tensor. The equations governing a finite deformation superimposed by infinitesimal motions are used to the study the composite effect of finite deformation and initial stress on wave speed. Graphical illustrations are presented for theoretical results for a prototype model of material and also compared with the results already obtained for incompressible materials.

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Section: Love Waves At the Boundary Of The Initially Stressed Compressible Half-space And Layermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Love waves in compressible elastic materials with a homogeneous initial stress

Ejaz

Shams

2018

Mathematics and Mechanics of Solids

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“…This information forces us to consider the quadratic (in the upper layer) and trigonometric (in the lower half-space) variations of heterogeneity in the considered layered model. Earlier, seismic waves propagation through inhomogeneous elastic media was studied by Wilson (1942) and many investigations were carried out on the propagation of surface waves in various media under the presence of heterogeneity as Anderson (1962), Birch (1952), Kundu et al (2016), Ke et al (2005) and Ke et al (2006).…”

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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Dynamic behavior of material strength due to the effect of prestress, aeolotropy, non-homogeneity, irregularity, and porosity on the propagation of torsional waves

Pramanik

Manna

2022

Acta Mech

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Propagation of a torsional surface wave in a non-homogeneous anisotropic layer over a heterogeneous half-space

Cited by 7 publications

References 35 publications

Love waves in compressible elastic materials with a homogeneous initial stress

Love waves in compressible elastic materials with a homogeneous initial stress

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

Dynamic behavior of material strength due to the effect of prestress, aeolotropy, non-homogeneity, irregularity, and porosity on the propagation of torsional waves

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