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

Singh, Abhishek Kumar; Mistri, Kshitish Ch.; Das, Amrita

doi:10.1017/jmech.2016.40

Cited by 21 publications

(3 citation statements)

References 18 publications

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“…2 and 3 suggest that the absence of corrugation in upper boundary surface disfavors the phase velocity; but the absence of corrugation at the interface of the layer and half-space greatly supports the phase velocity. The similar antagonistic behavior of corrugation on the phase velocity of Rayleigh-type wave at upper boundary surface and common interface of layer and half-space is marked by Singh et al 2016Singh et al , 2017 . Fig.…”

Section: Numerical Results and Discussionmentioning

confidence: 89%

Effect of Loose Bonding and Corrugated Boundary Surface on Propagation of Rayleigh-Type Wave

Singh¹,

Mistri²,

Pal³

2018

Lat. Am. j. solids struct.

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The problems concerns to the propagation of surface wave propagation through various anisotropic mediums with initial stress and irregular boundaries are of great interest to seismologists, due to their applications towards the stability of the medium. The present paper deals with the propagation of Rayleigh-type wave in a corrugated fibre-reinforced layer lying over an initially stressed orthotropic half-space under gravity. The upper free surface is assumed to be corrugated; while the interface of the layer and half-space is corrugated as well as loosely bonded. The frequency equation is deduced in closed form. Numerical computation has been carried out which aids to plot the dimensionless phase velocity against dimensionless wave number for sake of graphical demonstration. Numerical results analyze the influence of corrugation, loose bonding, initial stress and gravity on the phase velocity of Rayleigh-type wave. Moreover, the presence and absence of corrugation, loose bonding and initial stress is also discussed in comparative manner. , , u u u  The displacement components of fibre-reinforced layer along , ,x y z direction respectively. G  Biot's gravity parameter.  Bonding parameter. INTRODUCTIONThe problems of elastodynamics are not limited to the mechanics of those elastic materials which are simply isotropic, rather the problems take a more general and realistic form when the media considered are anisotropic. The presence of some effective physical factors namely initial stress, hydrostatic stress, cracks, fractures, etc. causes the mediums to behave anisotropically to the propagation of waves through it. These initial stresses tensile/compressive are the results of overburdened layer, atmospheric pressure, variation in temperature, slow process of creep and gravitational field. Tensile stress is said to responsible for more rigidity and compressive stress for less rigidity of a medium. On the other hand, presence of fibre-reinforced materials in earth's crust, in the form of hard or soft rocks may also affect the wave propagation. These composite materials adopt self-reinforced behavior under certain temperature and pressure. It finds numerous applications in construction, civil engineering, geophysics and geomechanics due to its low weight and high strength. The reinforcement of soil, both naturally and synthetically, enhances the strength and load bearing capacity of it. The mechanical behavior of composite materials could be well understood through the study of anisotropic elasticity. Carbon, nylon or conceivable metal whiskers, etc. are good models of fibre-reinforced materials. Prikazchikov and Rogerson 2003 studied the effect of pre-stress on the propagation of small amplitude waves in an incompressible, transversely isotropic elastic solid. Prosser and Green 1990 calculated some of the nonlinear third order moduli of T300/5208 graphite/ epoxy composite by measuring the normalized change in ultrasonic "natural" velocity as a function of stress and temperature. A lot of information abou...

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Section: Numerical Results and Discussionmentioning

confidence: 89%

Effect of Loose Bonding and Corrugated Boundary Surface on Propagation of Rayleigh-Type Wave

Singh¹,

Mistri²,

Pal³

2018

Lat. Am. j. solids struct.

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“…Grooved boundary surface could be visualized as a series of parallel furrows and ridges whose encounter in mechanical propagation of wave results to several effects especially across interfaces. Interestingly, some authors had worked on this concept of corrugated boundaries and other related wave propagation phenomena [21][22][23][24][25][26][27][28][29]. Also, certain discussions on materials [30][31][32][33] could aid understanding of material characterizations.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Waves in a Porous Micropolar Fibrereinforced Structure and Liquid Interface

Anya

Ofe

Khan

2022

J. Nig. Soc. Phys. Sci.

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The present investigation envisages on the Mathematical modeling of waves propagating in a porous micropolar fibre-reinforced structure in a half-space and liquid interface. The harmonic method of wave analysis is utilized, such that, the reflection and transmission of waves in the media were modelled and it’s equations of motion analytically derived. It was deduced that incident longitudinal wave in the solid structure yielded four reflected waves given as; quasi–P wave (qLD), quasi–SV wave, quasi–transverse microrotational (qTM) wave and a wave due to voids and one transmitted wave known as the quasi-longitudinal transmitted (qLT) wave. The phase velocity in the liquid medium is independent of angle of propagation as observed. The corresponding amplitude ratios of propagations for both reflected and transmitted waves are analytically derived by employing Snell’s law. The model would prove to be of relevance in the understanding of modeling of the behavior of propagation phenomena of waves in micropolar fibre-reinforecd machination systems resulting in solid/liquid interfaces especially in earth sciences and in particular seismology, amongst others.

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“…After that, Samal and Chattaraj 3 researched the propagation of surface in fibre‐reinforced anisotropic layer saturated between two flexible media. Singh et al 4,5 proposed two different model to study the propagation of SH‐wave in fibre‐reinforced materials with corrugated boundaries. The influence of point source on the propagation of a Love‐type wave in a piezoelectric composite structure has been investigated by Singh et al 6,7 To obtain the analytical formulations for vectorial group and ray velocities in anisotropic layers with monoclinic symmetry, Ilyashenko and Kuznetsov 8 constructed the dispersion relation for SH waves in stratified anisotropic plates with arbitrary elastic anisotropy.…”

Section: Introductionmentioning

confidence: 99%

Analysis the dispersive nature of Love wave in fibre‐reinforced composite materials plate: A Green's function approach

Kumar

Kumhar

Kundu

et al. 2022

Math Methods in App Sciences

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The research article mainly focuses on investigating the dispersive behaviour of Love waves influenced by an impulsive point source in a fibre-reinforced magnetoelastic (FRME) plate placed on functionally graded fibre-reinforced visco-elastic (FGFRVE) semi-infinite stratum. The materials of the considered structure have been assumed under the influence of magnetic field and functionally graded. The functionally graded in the lower semi-infinite space is caused by consideration of quadratic variation in the shear moduli and mass density. Maxwell's equation and generalised Ohm's law have been employed to calculate the Laurentz force in the fibre-reinforced magnetoelastic (FRME) plate.For solving the coupled field equations, three-dimensional Green's function and Fourier transform are applied; consequently, the closed-form of the Love wave's dispersion relation is obtained. The obtained dispersion curve is plotted and compared in the numerical results and discussions by taking the different magnitude of materials quantities such as reinforcement parameter, magnetoelastic coupling parameter, functionally graded parameter, and visco-elastic parameter.In some particular cases, the deduced dispersion equation is found to be identical to the classical Love wave equation for uniform homogeneous isotropic cases, indicating that the assumed structures are valid. The obtained results from the entire study can be utilised to better understand the dispersive nature of Love wave propagation in the considered systems containing fibre-reinforced, magnetoelastic, viscoelastic, and point sources.

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

Cited by 21 publications

References 18 publications

Effect of Loose Bonding and Corrugated Boundary Surface on Propagation of Rayleigh-Type Wave

Effect of Loose Bonding and Corrugated Boundary Surface on Propagation of Rayleigh-Type Wave

Mathematical Modeling of Waves in a Porous Micropolar Fibrereinforced Structure and Liquid Interface

Analysis the dispersive nature of Love wave in fibre‐reinforced composite materials plate: A Green's function approach

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