Torsional wave in an initially stressed layer lying between two inhomogeneous media

Dhua, Sudarshan; Chattopadhyay, Amares

doi:10.1007/s11012-015-0119-y

Cited by 17 publications

(3 citation statements)

References 23 publications

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“…On a theoretical level, several researchers and authors have considered the pre-stressed media to understand the propagation of seismic surface waves. The dispersion relation was developed by Dhua and Chattopadhyay, 19 Kundu et al, 20 and Chattaraj et al 21 so that the propagation of surface waves in different sorts of pre-stressed media could be better understood. The pre-stressed media through which the seismic surface waves propagate has a significant impact on their propagation.…”

Section: Introductionmentioning

confidence: 99%

The influence of heterogeneity and initial stress on the propagation of Love-type wave in a transversely isotropic layer subjected to rotation

et al. 2021

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Introduction: In this paper, a mathematical model of Love-type wave propagation in a heterogeneous transversely isotropic elastic layer subjected to initial stress and rotation of the resting on a rigid foundation. Frequency equation of Love-type wave is obtained in closed form. The material constants and initial stress have been taken as space dependent and arbitrary functions of depth in the respective media. Objectives: The dispersion equation is determined to study the effect of different types of parameters such as inhomogeneity, initial stress, rotation, wave number, the phase velocity on the Love-type wave propagation. Methods: The analytical solution has been obtained, we have used the separation of variables, method and the numerical solution using the bisection method implemented in MATLAB. Results: We present a general dispersion relation to describe the impacts as the propagation of Love-type waves in the structures. Numerical results analyzing the dispersion equation are discussed and presented graphically. Moreover, the obtained dispersion relation is found in well agreement with the classical case in isotropic and transversely isotropic layer resting on a rigid foundation. Finally, some graphical presentations have been made to assess the effects of various parameters in the plane wave propagation in elastic media of different nature.

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Section: Introductionmentioning

confidence: 99%

The influence of heterogeneity and initial stress on the propagation of Love-type wave in a transversely isotropic layer subjected to rotation

et al. 2021

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“…(2013), Vishwakarma et al. (2013) and Dhua and Chattopadhyay (2015) on torsional wave propagation cannot be ignored, as their contributions are laudable. Sofiyev and Schnack (2004) studied the effects of dynamic torsional loading on functionally graded cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

The torsional surface wave in a prestressed anisotropic intermediate poroelastic layer of varying heterogeneities

Kakar¹,

Kakar²

2016

Journal of Vibration and Control

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The aim of this paper is to study the behavior of the torsional surface wave in a heterogeneous initially stressed vertical fluid-saturated anisotropic layer sandwiched between inhomogeneous and homogeneous porous half-spaces. It has been considered that the mass density and rigidity of the upper half-space and intermediate layer are space dependent. The proposed model is solved to obtain different dispersion relations for the torsional surface wave in a heterogeneous poroelastic medium lying between two half-spaces. The influence of compressive stress and heterogeneity on torsional surface wave dispersion is shown numerically. It has been observed that heterogeneity, porosity, initial stress of the layer and inhomogeneity of the upper and porosity of lower half-spaces affect the torsional wave speed much. The wave analysis further indicates that the torsional surface waves travel faster in elastic half-spaces in comparison than in the fluid-saturated porous layer.

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“…Kondaiah et al (2012Kondaiah et al ( , 1013 studied pyroelectric and pyromagnetic materials in presence of electric and magnetic fields and electro-magneto-thermo elastic cantilever beam. Recently, Chattaraj et al (2015) and Dhua and Chattopadhyay (2015) carried out studies to investigate the effects of various heterogeneities and stresses on the propagation of torsional surface wave in sandy and elastic media.…”

Section: Introductionmentioning

confidence: 99%

Dispersion of torsional surface wave in an intermediate vertical prestressed inhomogeneous layer lying between heterogeneous half spaces

Kakar

Kakar²

2016

Journal of Vibration and Control

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The purpose of this study is to illustrate the propagation of the torsional surface waves in an intermediate inhomogeneous initially stressed vertical elastic layer sandwiched between two heterogeneous half-spaces. It is considered that the mass density and the rigidity of upper and lower half-spaces are space dependent. The proposed model is solved to obtain the different dispersion relations for the torsional surface wave in the elastic medium of different properties. The effects of compressive and tensile stresses along with the heterogeneity on the dispersion of torsional surface wave in the intermediate layer are shown numerically. The wave analysis further indicates that the inhomogeneity, the initial stress of the layer and the heterogeneity of both the half spaces affect the wave velocity remarkably. The results may be useful to understand the nature of seismic wave propagation in geophysical applications and in the field of earthquake engineering.

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Torsional wave in an initially stressed layer lying between two inhomogeneous media

Cited by 17 publications

References 23 publications

The influence of heterogeneity and initial stress on the propagation of Love-type wave in a transversely isotropic layer subjected to rotation

The influence of heterogeneity and initial stress on the propagation of Love-type wave in a transversely isotropic layer subjected to rotation

The torsional surface wave in a prestressed anisotropic intermediate poroelastic layer of varying heterogeneities

Dispersion of torsional surface wave in an intermediate vertical prestressed inhomogeneous layer lying between heterogeneous half spaces

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