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Fundamental Solution for the Plane Problem in Magnetothermoelastic Diffusion Media

Kumar R., Chawla V.

Computational Methods in Science and Technology

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2013

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Vol. 19, No. 4

195--207

EN

The aim of the present paper is to study the fundamental solution in orthotropic magneto- thermoelastic diffusion media. With this objective, firstly the two-dimensional general solution in orthotropic magnetothermoelastic diffusion media is derived. On the basis of thegeneral solution, the fundamental solution for a steady point heat source in an infinite and a semiinfinite orthotropic magnetothermoelastic diffusion material is constructed by four newly introduced harmonic functions. The components of displacement, stress, temperature distribution and mass concentration are expressed in terms of elementary functions. From the present investigation, some special cases of interest are also deduced and compared with the previously obtained results. The resulting quantities are computed numerically for infinite and semi-infinite magnetothermoelastic material and presented graphically to depict the magnetic effect.

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General steady-state solution and Green’s functions in orthotropic piezothermoelastic diffusion medium

Kumar R., Chawla V.

Archives of Mechanics

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2012

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Vol. 64, nr 6

555-555

EN

The present investigation deals with the study of Green’s functions in orthotropic piezothermoelastic diffusion media. With this objective, firstly the two-dimensional general solution in orthotropic piezothermoelastic diffusion media is derived. On the basis of general solution, the Green function for a point heat source and chemical potential source in the interior of semi-infinite orthotropic piezothermoelastic diffusion material is constructed by five newly introduced harmonic functions. The components of displacement, stress, electric displacement, electric potential, temperature change and chemical potential are expressed in terms of elementary functions. Since all the components are expressed in terms of elementary functions, this fact makes them convenient to use. From the present investigation, a special case of interest is also analyzed to depict the effect of diffusion. Resulting quantities are computed numerically and presented graphically to illustrate the effect of diffusion.

3

Effect of rotation on surface wave propagation in a elastic layer lying over a thermodiffusive elastic half-space having imperfect boundary

Kumar R., Chawla V.

International Journal of Applied Mechanics and Engineering

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2011

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Vol. 16, no 1

37-55

EN

The present investigation deals with the propagation of surface waves at an imperfect boundary between an isotropic elastic layer of finite thickness and a homogenous isotropic thermodiffusive elastic half- space with rotation in the context of generalized theory of thermoelastic diffusion. Lord and Shulman (L-S) theory in which thermal and thermo-mechanical relaxation time is governed by time constant and diffusion relaxation time is governed by other different time constants is selected for the study. The secular equation for surface waves in a compact form is derivied after developing the mathematical model. The phase velocity and attenuation coefficient are obtained for stiffness and then deduced for normal stiffness, tangential stiffness and welded contact. The dispersion curves for these quantities are illustrated to depict the effect of stiffness and thermal relaxation times. The amplitudes of displacements, temperature and concentration are computed at the free plane boundary and depicted graphically. Specific loss of energy is obtained and presented graphically. The effects of rotation are shown for phase velocity, attenuation coefficient and amplitudes of displacements, temperature change and concentration. Some special cases of interest are also deduced and compared with known results.

4

Wave propagation at the imperfect boundary between transversely isotropic thermoelastic diffusive half-space and an isotropic elastic layer

Kumar R., Chawla V.

Journal of Technical Physics

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2009

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Vol. 50, no 2

121-146

EN

The present investigation is devoted to a study of the surface wave propagation at imperfect boundary between a homogenous, transversely isotropic thermoelastic diffusive half-space and an isotropic elastic layer of finite thickness. The secular equation for surface waves in compact form is derived after developing the mathematical model. The phase velocity and attenuation coefficient are obtained for stiffness, and then deduced for normal stiffness, tangential stiffness and welded contact. The dispersion curves for these quantities are illustrated to depict the effect of stiffness and thermal relaxation times. The amplitudes of displacements, temperature and concentration are computed numerically at the free plane boundary. Specific loss of energy is obtained and depicted graphically. Special cases of interest are also deduced and compared with known results.