Propagation of torsional wave in a composite layer overlying an anisotropic heterogeneous half-space with initial stress

Dhua, Sudarshan; Singh, Abhishek Kumar; Chattopadhyay, Amares

doi:10.1177/1077546313505124

Cited by 25 publications

(12 citation statements)

References 23 publications

(28 reference statements)

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“…Chattopadhyay et al [22] also shown that heterogeneous anisotropic half space with initial stress allow torsional wave to propagate. Recently Dhua et al [23] discussed the effect of heterogeneity, initial stress and reinforcement on the propagation of torsional surface wave in a composite layer overlying an anisotropic heterogeneous half space. Dhua et al [24] also studied the propagation of surface wave in a fluid layer overlying a slightly compressible, finitely deformed elastic medium.…”

Section: Introductionmentioning

confidence: 99%

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

Dhua

Chattopadhyay

2015

Meccanica

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In the present paper, case wise studies have been made to investigate the existence of torsional surface wave in an initially stressed isotropic heterogeneous layer sandwiched between two inhomogeneous semi infinite media. Two cases have been discussed separately for wave propagation in an inhomogeneous layer between homogeneous and non-homogeneous half spaces, respectively. The dispersion relations of torsional surface wave for both the cases have been obtained in closed form. The effect of inhomogeneity parameter and initial stresses on the propagation of torsional surface wave have been discussed and presented graphically by plotting the dispersion curves.

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Section: Introductionmentioning

confidence: 99%

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

Dhua

Chattopadhyay

2015

Meccanica

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“…Biot (1940) described the vital effect of the initial stress on propagation of seismic waves. A brief discussion on the upshot of the initial stress on the torsional wave propagation was explored by Dhua et al (2015). Gupta and Bhengra (2017b) gave an extensive discussion regarding the favor of the initial stress on the soil dynamics.…”

Section: Introductionmentioning

confidence: 99%

Propagation of the torsional wave in an irregular self-reinforced composite material bounded between two half-spaces

Gupta¹,

Das²

2020

Journal of Theoretical and Applied Mechanics

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This research article is concerned with the analytical assessment and mathematical modelling to unveil the characteristic of a torsional wave in the irregular Earth's crustal stratum. This investigation has been performed to clarify of possible occurrence of the torsional wave in an irregular self-reinforced composite layer bonded between dry sandy media and an isotropic elastic half-space. Rectangular and parabolic irregularities have been assumed at the interface of the intermediate layer and the lower half-space. In order to acquire the required dispersion equation, the appropriate boundary conditions with the assistance of displacement and stress components have been well satisfied. The effects of different affecting parameters such as reinforcement, sandiness, initial stress and irregularity parameters have been explored and explained by suitable graphs. Moreover, a comparative study has also been accomplished graphically for rectangular, parabolic, and no irregularities.

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“…Othman and Song [15] have studied the effects of thermal parameters on the reflection of plane waves from a solid half-space. The effect of initial stress on a torsional wave is discussed by Dhua et al [16], whereas Chatterjee et al [17] have studied in detail the effect on reflected quasi-P and quasi-SV waves. Very recently, Majhi et al [18] investigated the reflection and transmission of plane SH-waves in two semi-infinite anisotropic magnetoelastic media.…”

Section: Introductionmentioning

confidence: 99%

Reflection of plane waves from the boundary of an initially stressed incompressible half-space

Shams

2017

Mathematics and Mechanics of Solids

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In this paper, nonlinear theory of elasticity is used to study the effect of initial stress on plane waves in an incompressible material. For this problem, the initial stress is not associated with a finite elastic deformation and the material is assumed to be isotropic in the absence of the initial stress. The theory of superposition of infinitesimal deformations on finite deformation is applied to a problem of plane incremental motions in an initially stressed incompressible homogeneous elastic half-space. The general formulation of the problem is presented first and then specialized using a prototype strain energy function. Homogeneous plane waves are considered and the analysis is carried out for incompressible materials in both the deformed and the undeformed reference configurations. In addition to this, problems for the reflection of small amplitude homogeneous waves from the plane boundary of an initially stressed half-space are also considered and graphical results are included, which show the effect of initial stress on reflection. It is noted that the reflection coefficients in this case behave in a similar fashion when the initial stress is a pre-stress.

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Propagation of torsional wave in a composite layer overlying an anisotropic heterogeneous half-space with initial stress

Cited by 25 publications

References 23 publications

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

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

Propagation of the torsional wave in an irregular self-reinforced composite material bounded between two half-spaces

Reflection of plane waves from the boundary of an initially stressed incompressible half-space

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