Dispersion of horizontally polarized shear waves in an irregular non-homogeneous self-reinforced crustal layer over a semi-infinite self-reinforced medium

Chattopadhyay, Amares; Gupta, Shishir; Sahu, Sanjeev A.; Singh, Abhishek Kumar

doi:10.1177/1077546311430699

Cited by 49 publications

(19 citation statements)

References 13 publications

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“…The idea of introducing a continuous reinforcement at every point of an elastic solid was given by Belfield et al [4]. Recently, some work related to Love wave propagation in fibrereinforced material with different geometries was done by Chattopadhyay et al [5,6]. The low weight and high strength of fibre-reinforced materials make its role crucial in the field of construction works.…”

Section: Introductionmentioning

confidence: 98%

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: Introductionmentioning

confidence: 98%

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

2016

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“…The plane strain or generalized plane stress deformations of a linear elastic material reinforced by a single family of parallel inextensible fibres are deduced by England et al [2]. Chattopadhyay et al [3] discussed the dispersion equation for horizontally polarized shear waves in a non-homogeneous self-reinforced layer over a semi-infinite self-reinforced medium with an irregularity. The problem of reflection of plane waves due to an incident longitudinal wave at a plane free fibre-reinforced thermoelastic half-space has been investigated by Singh and Zorammuana [4].…”

Section: Introductionmentioning

confidence: 99%

Propagation and Reflection of Plane Waves in a Rotating Magneto-Elastic Fibre-Reinforced Semi Space with Surface Stress

Roy¹,

Acharya

2018

Mechanics and Mechanical Engineering

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The present paper investigates the propagation of quasi longitudinal (qLD) and quasi transverse (qTD) waves in a magneto elastic fibre-reinforced rotating semi-infinite medium. Reflections of waves from the flat boundary with surface stress have been studied in details. The governing equations have been used to obtain the polynomial characteristic equation from which qLD and qTD wave velocities are found. It is observed that both the wave velocities depend upon the incident angle. After imposing the appropriate boundary conditions including surface stress the resultant amplitude ratios for the total displacements have been obtained. Numerically simulated results have been depicted graphically by displaying two and three dimensional graphs to highlight the influence of magnetic field, rotation, surface stress and fibre-reinforcing nature of the material medium on the propagation and reflection of plane waves.

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“…They also discussed the reflection of these elastic waves from the free surface of a fibre-reinforced elastic half-space. Recently, Chattopadhyay et al (2013Chattopadhyay et al ( , 2010a and Chattopadhyay and Singh (2012a, b) attempted to investigate the effect of reinforcement on the propagation of magnetoelastic shear waves, torsional surface waves and crack.…”

Section: Introductionmentioning

confidence: 99%

Effect of Corrugation and Reinforcement on the Dispersion of SH-wave Propagation in Corrugated Poroelastic Layer Lying over a Fibre-reinforced Half-space

et al. 2016

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The presence of porosity and reinforcement in a medium is an important factor affecting seismic wave propagation and plays vital role in many geophysical prospects. Also, the presence of salt and ore deposits, mountains, basins, mountain roots, etc. is responsible for the existence of corrugated boundary surfaces of constituent layers. Such facts brought motivation for the present paper which deals with the propagation of SHwave in a heterogeneous fluid-saturated poroelastic layer with corrugated boundaries lying over an initially stressed fibre-reinforced elastic halfspace. Closed form of dispersion relation has been obtained and is found in well agreement to classical Love wave equation for isotropic case. The effect of corrugation, wave number, undulation, position parameter, horizontal compressive/tensile initial stress and heterogeneity on phase velocity has been analysed through numerical computation and graphical illustration. Moreover, comparative study exploring the effect of presence and absence of reinforcement in half-space on dispersion curve is the major highlight of the current study.

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Dispersion of horizontally polarized shear waves in an irregular non-homogeneous self-reinforced crustal layer over a semi-infinite self-reinforced medium

Cited by 49 publications

References 13 publications

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

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

Propagation and Reflection of Plane Waves in a Rotating Magneto-Elastic Fibre-Reinforced Semi Space with Surface Stress

Effect of Corrugation and Reinforcement on the Dispersion of SH-wave Propagation in Corrugated Poroelastic Layer Lying over a Fibre-reinforced Half-space

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