Stress in elastic plates reinforced by fibres lying in concentric circles

Belfield, A.J.; Rogers, T. G.; Spencer, A. J. M.

doi:10.1016/0022-5096(83)90018-2

Cited by 240 publications

(117 citation statements)

References 6 publications

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“…The constitutive relations for a linearly ibre-reinforced elastic medium are given by Bel ield et al (1983) (13) where j A are the amplitude constants at angles j and expressions of the coupling constants, j may be written as…”

Section: Basic Equationsmentioning

confidence: 99%

“…Such composite materials are used in many engineering structures due to high strength and lightweight. The stress in elastic plates is reinforced by ibers lying in concentric circles (Bel ield et al 1983) with anisotropic characters. The re lection of uasi and uasi S -waves at a plane free and rigid boundaries of a ibre-reinforced elastic medium were investigated (Chattopadhyay et al 2002) and the authors obtained the phase velocity of uasi and uasi S -waves.…”

Section: Introductionmentioning

confidence: 99%

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Elastic Waves in a Homogeneous/ an Inhomogeneous Fibre-Reinforced Elastic Half-Spaces

Zorammuana¹,

Singh²

2017

stj

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Abstract-The problem of re lection and refraction of elastic waves due to incident uasi and uasi S -waves at a plane interface between the homogeneous and inhomogeneous ibre-reinforced elastic half-spaces has been investigated. The re lection and refraction coef icients and energy ratios of the re lected and refracted uasi and uasi S -waves are obtained. These coef icients and ratios are computed numerically for a particular model and the results are shown graphically.

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Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Elastic Waves in a Homogeneous/ an Inhomogeneous Fibre-Reinforced Elastic Half-Spaces

Zorammuana¹,

Singh²

2017

stj

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“…The constitutive equations for a fibre-reinforced linearly elastic anisotropic medium with respect to a preferred direction a are (Belfield et al, 1983) …”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The idea of continuous self-reinforcement at every point of an elastic solid was introduced by Belfield et al (1983). The characteristic property of a reinforced concrete member is that its components, namely concrete and steel, act together as a single anisotropic unit as long as they remain in the elastic condition, i.e., the two components are bound together so that there can be no relative displacement between them.…”

Section: Introductionmentioning

confidence: 99%

Surface Waves in Fibre-Reinforced Anisotropic Solid Elastic Media under the Influence of Gravity

Sethi¹,

Gupta²,

Manisha³

2013

International Journal of Applied Mechanics and Engineering

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The aim of the present paper is to investigate surface waves in an anisotropic, elastic solid medium under the influence of gravity. First, a theory of generalised surface waves was developed and then it was employed to investigate particular cases of waves, viz., Stoneley and Rayleigh, Love type. The wave velocity equations were obtained for different cases and they are in well agreement with the corresponding classical result, when the effect of gravity, viscosity as well as parameters for fibre-reinforcement of the material medium are ignored.

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“…The idea of continuous self-reinforcement at every point of an elastic solid was introduced by Belfield et al (1983). The superiority of fibre-reinforced composite materials over other structural materials attracted many authors to study different type of problems in this field.…”

Section: Introductionmentioning

confidence: 99%

Gravitational effect on surface waves in a homogeneous fibre-reinforced anisotropic general viscoelastic media of higher and fractional order with voids

Khan¹,

Abo‐Dahab²,

Abd-Alla³

2015

Int. J. Phys. Sci.

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In this paper, gravitational effects on propagation of surface waves in a homogeneous fibrereinforced anisotropic general viscoelastic media of higher order with voids is investigated. The general surface wave speed is derived to study the effects of gravity on surface waves. Particular cases for Stoneley and Rayleigh waves are discussed. The results obtained in this investigation are more general in the sense that some earlier published results are obtained from our result as special cases. In the absence of voids our results for viscoelastic of order zero are well agreement to fibre-reinforced materials. Also by neglecting the reinforced elastic parameters, the results reduce to well known isotropic medium. Numerical results for particular materials are given and illustrated graphically. The results indicate that the effect of the gravitational, voids and the reinforced elastic parameters on surface waves are very pronounced.

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Stress in elastic plates reinforced by fibres lying in concentric circles

Cited by 240 publications

References 6 publications

Elastic Waves in a Homogeneous/ an Inhomogeneous Fibre-Reinforced Elastic Half-Spaces

Elastic Waves in a Homogeneous/ an Inhomogeneous Fibre-Reinforced Elastic Half-Spaces

Surface Waves in Fibre-Reinforced Anisotropic Solid Elastic Media under the Influence of Gravity

Gravitational effect on surface waves in a homogeneous fibre-reinforced anisotropic general viscoelastic media of higher and fractional order with voids

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