Propagation of torsional surface wave in anisotropic poroelastic medium under initial stress

Wave Motion ◽  
2011 ◽  
Vol 48 (2) ◽  
pp. 184-195 ◽  
Author(s):  
R. Chattaraj ◽  
S.K. Samal ◽  
N.C. Mahanti
Keyword(s):  
Surface Wave ◽  
Initial Stress ◽  
Poroelastic Medium ◽  
Torsional Surface Wave

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

2019 ◽  
Vol 16 (06) ◽  
pp. 1840030 ◽  
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.

Influence of initial stress and gravity on torsional surface wave in heterogeneous medium

2016 ◽  
Vol 23 (6) ◽  
pp. 970-979
Author(s):  
Anup Kr Mukhopadhyay ◽  
Asit Kr Gupta ◽  
Santimoy Kundu ◽  
Santanu Manna
Keyword(s):  
Surface Wave ◽  
Initial Stress ◽  
Heterogeneous Medium ◽  
Torsional Surface Wave

The torsional surface wave in a prestressed anisotropic intermediate poroelastic layer of varying heterogeneities

2016 ◽  
Vol 24 (9) ◽  
pp. 1687-1706 ◽  
Author(s):  
Rajneesh Kakar ◽  
Shikha Kakar
Keyword(s):  
Surface Wave ◽  
Wave Speed ◽  
Mass Density ◽  
Wave Dispersion ◽  
Wave Analysis ◽  
Poroelastic Medium ◽  
Surface Wave Dispersion ◽  
Proposed Model ◽  
Saturated Porous Layer ◽  
Torsional Surface Wave

The aim of this paper is to study the behavior of the torsional surface wave in a heterogeneous initially stressed vertical fluid-saturated anisotropic layer sandwiched between inhomogeneous and homogeneous porous half-spaces. It has been considered that the mass density and rigidity of the upper half-space and intermediate layer are space dependent. The proposed model is solved to obtain different dispersion relations for the torsional surface wave in a heterogeneous poroelastic medium lying between two half-spaces. The influence of compressive stress and heterogeneity on torsional surface wave dispersion is shown numerically. It has been observed that heterogeneity, porosity, initial stress of the layer and inhomogeneity of the upper and porosity of lower half-spaces affect the torsional wave speed much. The wave analysis further indicates that the torsional surface waves travel faster in elastic half-spaces in comparison than in the fluid-saturated porous layer.

Influence of corrugated boundary surface and reinforcement of fibre-reinforced layer on propagation of torsional surface wave

2016 ◽  
Vol 23 (9) ◽  
pp. 1417-1436 ◽  
Author(s):  
Abhishek Kumar Singh ◽  
Anirban Lakshman ◽  
Amares Chattopadhyay
Keyword(s):  
Surface Wave ◽  
Dispersion Equation ◽  
Half Space ◽  
Boundary Surface ◽  
Lower Boundary ◽  
Transversely Isotropic ◽  
Wave Number ◽  
Torsional Surface Wave ◽  
Propagation Of Waves ◽  
Boundary Surfaces

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.

Shear wave propagation in magneto poroelastic medium sandwiched between self-reinforced poroelastic medium and poroelastic half space

2020 ◽  
Vol 37 (9) ◽  
pp. 3345-3359
Author(s):  
Sindhuja Ala ◽  
Rajitha Gurijala ◽  
Malla Reddy Perati
Keyword(s):  
Wave Propagation ◽  
Initial Stress ◽  
Shear Wave ◽  
Half Space ◽  
Frequency Equation ◽  
Numerical Results ◽  
Poroelastic Medium ◽  
Content Type ◽  
Inhomogeneity Parameter ◽  
Heterogeneity Parameter

Purpose The purpose of this paper is to investigate the effect of reinforcement, inhomogeneity and initial stress on the propagation of shear waves. The problem consists of magneto poroelastic medium sandwiched between self-reinforced medium and poroelastic half space. Using Biot’s theory of wave propagation, the frequency equation is obtained. Design/methodology/approach Shear wave propagation in magneto poroelastic medium embedded between a self-reinforced medium and poroelastic half space is investigated. This particular setup is quite possible in the Earth crust. All the three media are assumed to be inhomogeneous under initial stress. The significant effects of initial stress and inhomogeneity parameters of individual media have been studied. Findings Phase velocity is computed against wavenumber for various values of self-reinforcement, heterogeneity parameter and initial stress. Classical elasticity results are deduced as a particular case of the present study. Also in the absence of inhomogeneity and initial stress, frequency equation is discussed. Graphical representation is made to exhibit the results. Originality/value Shear wave propagation in magneto poroelastic medium embedded between a self-reinforced medium, and poroelastic half space are investigated in presence of initial stress, and inhomogeneity parameter. For heterogeneous poroelastic half space, the Whittaker’s solution is obtained. From the numerical results, it is observed that heterogeneity parameter, inhomogeneity parameter and reinforcement parameter have significant influences on the wave characteristics. In addition, frequency equation is discussed in absence of inhomogeneity and initial stress. For the validation purpose, numerical results are also computed for a particular case.

Influence of Initial Stress and Inhomogeneity on Propagation of Torsional Type Surface Wave in a Crustal Layer

2016 ◽  
Vol 16 (4) ◽  
pp. 06015012 ◽  
Author(s):  
Shishir Gupta ◽  
Mostaid Ahmed ◽  
Santanu Manna ◽  
Abhijit Pramanik
Keyword(s):  
Surface Wave ◽  
Initial Stress ◽  
Crustal Layer
Sign in / Sign up

Export Citation Format

Share Document