Inhomogeneous Waves in Anisotropic Porous Layer Overlying Solid Bedrock

Vashishth, AK; Khurana, Poonam

doi:10.1006/jsvi.2002.5175

Cited by 8 publications

(4 citation statements)

References 20 publications

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“…( 17 ) with respect to z, and assume qa ,Po are given initial values, the following equations are derived: (19) Using Eqs. (18) and (19) , one obtains…”

Section: Interval Formulation and Matrix Differential Equationsmentioning

confidence: 98%

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Stationary random waves propagation in 3D viscoelastic stratified solid

高强

林家浩

2005

Appl Math Mech

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Propagation of stationary random waves in viscoelastic stratified transverse isotropic materials is investigated. The solid was considered multi-layered and located above the bedrock, which was assumed to be much stiffer than the soil, and the power spectrum density of the stationary random excitation was given at the bedrock. The governing differential equations are derived in frequency and wave-number domains and only a set of ordinary differential equations (ODEs) must be solved. The precise integration algorithm of two-point boundary value problem was applied to solve the ODEs. Thereafter, the recently developed pseudo-excitation method for structural random vibration is extended to the solution of the stratified solid responses.

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“…( 17 ) with respect to z, and assume qa ,Po are given initial values, the following equations are derived: (19) Using Eqs. (18) and (19) , one obtains…”

Section: Interval Formulation and Matrix Differential Equationsmentioning

confidence: 98%

“…Inhomogeneous waves in anisotropic porous stratified solid are investigated in Ref. [ 18 ]. A spectral element technique was proposed c19'2~ for determining the parameters of stratified media.…”

Section: Introductionmentioning

confidence: 99%

Stationary random waves propagation in 3D viscoelastic stratified solid

高强

林家浩

2005

Appl Math Mech

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“…Transfer matrix approach is used for the analysis of propagation of plane ultrasonic waves in porous piezo-thermoelastic multilayered structure [16,17]. Transfer matrix of a porous piezothermoelastic layer is derived following the techniques as described in [34,35,70]. Using such obtained transfer matrices, a global transfer matrix for the layered structure is obtained.…”

Section: Ultrasonic Waves In Porous Piezo-thermoelastic Multilayered ...mentioning

confidence: 99%

“…Vashishth and Gogna [82] investigated the effect of loose boundaries between two different porous solids. Vashishth and Khurana [70] studied the wave propagation in anisotropic porous layer overlying solid bedrock.…”

Section: ˜˜(mentioning

confidence: 99%

Ultrasonic waves in an orthorhombic porous piezo-thermoelastic laminated structure immersed in a fluid

Vashishth¹,

Sukhija²,

Gupta³

2016

Smart Mater. Struct.

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Reflection and transmission of plane elastic waves in porous piezo-thermoelastic laminated plate immersed in a fluid has been studied. A theoretical model is derived which is based on transfer matrix method. The layered structure is considered to be consisting of ‘n’ number of layers of porous piezo-thermoelastic materials immersed in a fluid. All the layers are considered to be 2 mm PPTE materials. The formal solution for the mechanical displacements, electric potential, mechanical stresses, electric displacements, temperature changes and temperature gradient are derived. The transfer matrix technique is used to study the layered materials. The closed form expressions of the elements of transfer matrix are derived. The analytical expressions for the reflection coefficient and transmission coefficient are derived. The effects of frequency, angle of incidence, number of layers, layer’s thickness and porosity on the reflection coefficient and transmission coefficient, reflection loss and transmission loss are investigated numerically for different configurations. Particular cases of the present study have also been obtained for the verification of the results.

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