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1

Generalized theory of thermoelastic diffusion with double porosity

Kansal T.

Archives of Mechanics

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2018

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Vol. 70, nr 3

241--268

EN

The present paper focuses on the derivation of the constitutive relations and field equations for anisotropic thermoelastic medium with mass diffusion and double porosity. The variational principle, uniqueness and reciprocity theorems are also derived.

2

Reflection and Refraction of Plane HarmonicWaves at an Interface Between Elastic Solid and Magneto-thermoelastic Diffusion Solid with Voids

Kumar R., Kansal T.

Computational Methods in Science and Technology

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2017

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Vol. 23, No. 1

43--56

EN

The problem of the reflection and refraction phenomenon due to longitudinal and transverse waves incident obliquely at a plane interface between uniform elastic solid half-space and magneto-thermoelastic diffusive solid half-space with voids has been studied. It is found that the amplitude ratios of various reflected and refracted waves are functions of the angle of incidence and frequency of the incident wave. The amplitude ratios and energy ratios have been computed numerically for a particular model. The variations of energy ratios with angle of incidence are shown graphically.

3

Fundamental solution in elasto-thermodiffusive (ETNP) semiconductor materials

Kumar R., Kansal T.

Archives of Mechanics

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2015

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Vol. 67, nr 5

371--384

EN

In this paper, the fundamental solution of system of differential equations in the theory of elasto-thermodiffusive(ETNP) semiconductor materials in case of steady oscillations in terms of elementary functions is constructed. Some basic properties of the fundamental solution are also established.

4

Reflection and refraction of plane waves at the interface of an elastic solid half-space and a thermoelastic diffusive solid half-space

Kumar R., Kansal T.

Archives of Mechanics

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2012

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Vol. 64, nr 3

293-293

EN

The problem of reflection and refraction phenomenon due to longitudinal and transverse waves incident obliquely at a plane interface between uniform elastic solid half-space and thermoelastic diffusive solid half-space has been studied. It is found that the amplitude ratios of various reflected and refracted waves are functions of angle of incidence, frequency of incident wave and are influenced by the elastic properties of media. The expressions of amplitude ratios and energy ratios are obtained in closed form. The amplitude ratios and energy ratios have been computed numerically for a particular model. The variations of energy ratios with angle of incidence are shown graphically. The conservation of energy across the interface is verified. Some particular cases are also discussed.

5

Analysis of wave motion in transversely isotropic generalized thermoelastic diffusive plate

Kumar R., Kansal T.

Journal of Technical Physics

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2009

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Vol. 50, no 1

17-40

EN

The present investigation deals with the propagation of plane harmonic thermoelastic diffusive waves in a homogeneous, transversely isotropic, thin elastic plate of finite width, in the context of generalized theory of thermoelastic diffusion. Lord and Shulman(L-S) theory, in which thermal and thermo-mechanical relaxation is governed by a time constant and diffusion relaxation is governed by other different time constant, is selected for the study. According to the characteristic equation, three quasi-longitudinal waves, namely: quasi-elastodiffusive(QED-mode), quasi-massdiffusive(QMD-mode) and quasi-thermodiffusive(QTD-mode), can propagate in addition to quasi-transverse waves(QSV-mode), and the purely quasi-transverse motion(QSH-mode), which is not affected by thermal and diffusion vibrations, gets decoupled from the rest of the motion of wave propagation. The secular equations corresponding to the symmetric and skew-symmetric modes of the plate are derived. The amplitudes of displacements, temperature change and concentration for symmetric and skew-symmetric modes of vibration of plate are computed numerically. Anisotropy and diffusion effects on the phase velocity, attenuation coefficient and amplitudes of wave propagation, are presented graphically in order to illustrate and compare the analytical results. Some special cases of frequency equation are also deduced from the present investigation.

6

Effect of rotation on Rayleigh waves in an isotropic generalized thermoelastic diffusive half-space

Kumar R., Kansal T.

Archives of Mechanics

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2008

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Vol. 60, nr 5

421-443

EN

he present investigation is a study of the effect of rotation on the characteristics of Rayleigh waves propagation in a homogeneous, isotropic, thermoelastic diffusive half-space in the framework of different theories of thermoelastic diffusion, including the Coriolis and Centrifugal forces. The medium is subjected to stress-free, thermally insulated/isothermal and chemical potential boundary conditions and is rotating about an axis perpendicular to its plane. Secular equations of surface wave propagation in the considered media are derived. The phase velocities and attenuation coefficients of surface wave propagation have been computed by using the irreducible case of Cardano's method, with the help of DeMoivre's theorem known from the secular equations. The amplitudes of surface displacements, temperature change, concentration and the specific loss of energy are computed numerically. Rotation effect on the phase velocity, attenuation coefficient, amplitudes of surface wave propagation and specific loss of energy are presented graphically in order to illustrate and compare the analytically obtained results. Some special cases of frequency equation are also deduced from the present investigation.