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Content available remote Reflection of transverse and microrotational waves from free surface in micropolar thermodiffusion elastic half-space
Kumar R., Kaushal S., Sharma K. D., Garg S. K.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 2
401-417
EN
The problem of reflection of plane waves in a micropolar thermodiffusion elastic is investigated in the context of the coupled theory. The amplitude ratios of various reflected waves are continuous functions of the angle of incidence and material parameters of the medium. A graphical representation of amplitude ratios is presented and the impact of micropolarity and diffusion property of the medium is observed to be significant. Some special cases of interest are deduced from the present article.
2
Content available remote Reflection of transverse and microrotational waves from free surface in micropolar thermodiffusive elastic half-space
Kumar R., Kaushal S., Sharma K. D., Garg S. K.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 1
143-159
EN
The problem of reflection of plane waves in a micropolar thermodiffusive elastic has been investigated in the context of coupled theory. The amplitude ratios of various reflected waves are continuous function of the angle of incidence and material parameters of the medium. A graphical representation of amplitude ratios is presented and the impact of micropolarity and diffusive property of the medium is observed to be significant. Some special cases of interest are deduced.
3
Content available remote Propagation of waves in generalized thermoelastic continua with two temperature
Kaushal S., Sharma N., Kumar R.
International Journal of Applied Mechanics and Engineering
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2010
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Vol. 15, no 4
1111-1127
EN
The present investigation is concerned with the following two problems. (i) Reflection and transmission of thermoelastic waves between two thermoelastic/ thermoelastic solids with two temperatures at an imperfect interface. The amplitude ratios of different reflected and transmitted waves are obtained and deduced for normal force stiffness, transverse force stiffness, thermal contact conductance and perfect bonding. The variations of amplitude ratios with angle of incidence are shown graphically for the longitudinal wave (P-wave), thermal wave (T-wave) and SV-wave. (ii) Propagation of Rayleigh waves in a thermoelastic half-space with two temperature at the free surface. The phase velocity and attenuation coefficient are obtained and presented graphically to depict the effect of two temperatures. Some special cases of interest are deduced from the present investigation.
4
Content available remote Elastodynamic response of various sources in micropolar thermodiffusive elastic medium
Kumar R., Kaushal S., Miglani A.
International Journal of Applied Mechanics and Engineering
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2010
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Vol. 15, no 1
63-98
EN
A general solution to the field equations of a micropolar thermodiffusive elastic solid are obtained in the transformed form, using the Laplace and Fourier transform techniques. The deformation due to various sources has been investigated. As an application, concentrated and distributed sources are taken to show the utility of the approach. The transformed solutions are inverted using a numerical inversion technique to invert the Laplace and Fourier transforms. The components of stress, temperature distribution and chemical potential distribution are obtained numerically and discussed graphically to depict the effects of micropolarity and diffusion.
5
Interaction due to thermodiffusive and mechanical sources in micropolar elastic medium
Kumar R., Kaushal S., Miglani A.
Journal of Technical Physics
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2009
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Vol. 50, no 4
317-342
EN
In this present paper, first the equations of generalized micropolar thermodiffusive medium, based on the theory of Lord and Shulman with one relaxation time are derived and then, deformation in a micropolar thermoelastic diffusive medium has been studied due to various sources. Laplace and Fourier transforms are used to solve the problem. The application of concentrated normal force, thermal point source and chemical potential point source has been considered to show the utility of the solution obtained. The transformed components of stress, temperature distribution and chemical potential are inverted numerically using a numerical inversion technique. The effect of micropolarity and diffusion on these quantities are presented graphically in order to illustrate and compare the analytical results. Some special cases of micropolarity and diffusion are also deduced.
6
Content available remote Disturbance due to inclined load in generalized thermoelastic medium with two temperatures
Kumar R., Kaushal S.
International Journal of Applied Mechanics and Engineering
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2008
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Vol. 13, no 3
695-706
EN
The present investigation is concerned with the deformation in a homogeneous, isotropic thermoelastic half-space with two temperatures as a result of an inclined load. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The integral transform technique is used to solve the problem. As an application of the approach concentrated and uniformly distributed loads have been considered. The transformed components of displacement, stress, conductive temperature and temperature distribution are inverted by using the numerical inversion technique. The effect of two temperatures and response of two generalized theories of thermoelasticity (Lord and Shulman (L-S), Green and Lindsay (G-L) theories) on the resulting quantities have been depicted graphically for a particular model. Some particular cases of interest have been deduced from the present investigation.
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