Aseem Miglani

Response of an anisotropic liquid-saturated porous medium due to two dimensional sources

Eigenvalue approach, following Laplace and Fourier transforms, has been employed to find the general solution to the field equations in an anisotropic liquid-saturated porous medium, in the transformed domain. The results of isotropic liquid-saturated porous medium can be derived as a special case. A numerical inversion technique has been applied to get the solutions in the physical domain. To illustrate the utility of the approach, an application of infinite space with impulsive force at the origin has been considered. The results in the form of displacement and stress components have been obtained and discussed graphically for a particular model.

Elastodynamics of an axisymmetric problem in an anisotropic liquid-saturated porous medium

The Laplace and Hankel transforms have been employed to find the general solution to the field equations in an anisotropic liquid-saturated porous medium for plain axisymmetric problem, in the transformed form. An application of an infinite space with impulsive force at the origin has been considered to show the utility of the solution obtained. The results of the corresponding problem in isotropic liquid-saturated porous medium can be derived as a special case. To get the solutions in the physical form, a numerical inversion technique has been applied. The results in the form of displacement and stress components have been obtained, numerically and discussed graphically for a particular model.

Dynamic behaviour of an anisotropic liquid-saturated porous medium in frequency domain

A general solution to the field equations of an anisotropic liquid-saturated porous medium has been obtained, in the transformed form, using the Fourier transform. Assuming the disturbances to be harmonically time dependent, the transformed solution is obtained in the frequency domain. An application of a time-harmonic concentrated force acting at some interior point of an infinite medium has been considered to show the utility of the solution obtained. The transformed solutions are inverted numerically, using a numerical inversion technique to invert the Fourier transform. The results in the form of stress components have been obtained numerically and discussed graphically for a particular model. The results of the corresponding problem in isotropic liquid-saturated porous medium can be derived as a special case.

Surface wave propagation in a double liquid layer over a liquid-saturated porous half-space

The frequency equation is derived for surface waves in a liquid-saturated porous half-space supporting a double layer, that of inhomogeneous and homogeneous liquids. Asymptotic approximations of Bessel functions are used for long and short wavelength cases. Certain other problems are discussed as special cases. Velocity ratio (phase and group velocity) is obtained as a function of wavenumber and the results are shown graphically.

Plain strain problem of poroelasticity using eigenvalue approach

A plain strain problem of an isotropic elastic liquid-saturated porous medium in poroelasticity has been studied. The eigenvalue approach using the Laplace and Fourier transforms has been employed and these transforms have been inverted by using a numerical technique. An application of infinite space with concentrated force at the origin has been presented to illustrate the utility of the approach. The displacement and stress components in the physical domain are obtained numerically. The results are shown graphically and can be used for a broad class of problems related to liquid-saturated porous media.

Eigenvalue formulation to micropolar porous thermoelastic circular plate using dual phase lag model

Purpose The purpose of this paper is to study the axisymmetric problem in a micropolar porous thermoelastic circular plate with dual phase lag model by employing eigenvalue approach subjected to thermomechanical sources. Design/methodology/approach The Laplace and Hankel transforms are employed to obtain the expressions for displacements, microrotation, volume fraction field, temperature distribution and stresses in the transformed domain. A numerical inversion technique has been carried out to obtain the resulting quantities in the physical domain. Effect of porosity and phase lag on the resulting quantities has been presented graphically. The results obtained for Lord Shulman theory (L-S, 1967) and coupled theory of thermoelasticity are presented as the particular cases. Findings The variation of temperature distribution is similar for micropolar thermoelastic with dual (MTD) phase lag model and coupled theory of thermoelasticity. The variation is also similar for tangential couple stress for MTD and L-S theory but opposite to couple theory. The behavior of volume fraction field and tangential couple stress for L-S theory and coupled theory are observed opposite. The values of all the resulting quantities are close to each other away from the sources. The variation in tangential stress, tangential couple stress and temperature distribution is more uniform. Originality/value The results are original and new because the authors presented an eigenvalue approach for two dimensional problem of micropolar porous thermoelastic circular plate with dual phase lag model. A comparison of porosity, L-S theory and coupled theory of micropolar thermoelasticity is made. Such problem has applications in material science, industries and earthquake problems.