Velocity-profile of torsional surface wave in a contorted watery-porous reservoir over a sand-dune deposit

These days fibre-reinforced materials are frequently used in construction sector for example in dams, bridges etc. Also the earth structure and artificial structure made by human may contain irregularity or corrugation, therefore, propagation of waves and vibrations through these structures gets affected by them. Motivated by these facts the present problem aims to study the propagation of torsional surface wave in a fibre-reinforced layer with corrugated boundary surface overlying an initially stressed transversely isotropic half-space. The closed form of the dispersion equation has been deduced and the notable effect of reinforcement, undulatory parameter of corrugated boundary surfaces of the layer, corrugation parameter of upper and lower boundary surfaces of the layer, initial stress acting in half-space and wave number on the phase velocity of torsional surface wave has been exhibited. The numerical computation along with graphical illustration has been carried out for fibre-reinforced layer of carbon fibre-epoxy resin and T300/5208 graphite/epoxy material for the transversely isotropic half-space. As a special case of the problem, deduced dispersion equation is found in well-agreement with the classical Love wave equation. Comparative study for reinforced and reinforced free layer has been performed and also depicted graphically. Moreover some analysis is made to highlight the important peculiarities of the problem.

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Torsional surface wave propagation in an initially stressed non-homogeneous layer over a non-homogeneous half-space

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.09.058 ◽

2012 ◽

Vol 219 (6) ◽

pp. 3209-3218 ◽

Cited By ~ 7

Author(s):

Shishir Gupta ◽

Dinesh Kumar Majhi ◽

Sumit Kumar Vishwakarma

Keyword(s):

Wave Propagation ◽

Surface Wave ◽

Half Space ◽

Homogeneous Layer ◽

Homogeneous Half Space ◽

Surface Wave Propagation ◽

Torsional Surface Wave

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Torsional Waves in a Fiber Composite Medium at a Loosely Bonded Interface Constrained Between Dry Sandy Layer and Gravitating Poroelastic Substrate

International Journal of Computational Methods ◽

10.1142/s0219876218400303 ◽

2019 ◽

Vol 16 (06) ◽

pp. 1840030 ◽

Cited By ~ 2

Author(s):

Shishir Gupta ◽

Santimoy Kundu ◽

Prasenjit Pati

Keyword(s):

Surface Wave ◽

Dispersion Relation ◽

Initial Stress ◽

Fiber Composite ◽

Whittaker Function ◽

Composite Medium ◽

Bonded Interface ◽

Surface Wave Propagation ◽

Sandy Layer ◽

Torsional Surface Wave

The objective of this paper is to study the effect of loosely bonded interface on torsional surface wave propagation in a fiber reinforced composite medium constrained between dry sandy layer and an anisotropic gravitating poroelastic substrate. All the media are assumed to be under initial stress. The dispersion relation on this proposed multilayer ground structure has been derived in closed form under certain boundary conditions, which contain Whittaker function and its derivative, which is further expanded asymptotically, retaining up to only the linear terms. The numerical solution for the limiting case of torsional surface waves is also discussed. As a special case of the problem, when the entire medium is isotropic and one of the upper layer vanishes and removing the initial stress and gravity, the dispersion relation obtained is in agreement with the classical Love type wave equation. The influence of various technical constants, such as sandy parameter, reinforcement parameter, porosity parameter, Biot’s gravity parameter, loosely bonded parameters, initial stress of both the layers and half spaces on the phase velocity of torsional surface wave has been pointed out by means of graphs.

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