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1
Content available Wave propagation in 2D between two elastic media in contact in theory of generalized two temperature thermoelasticity with gravity effect
Lotfy Khaled, Gabr Mahmoud, El-Bary Alaa Abd
Archives of Thermodynamics
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2020
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Vol. 41, no 1
219--243
EN
The theory of generalized two-temperature thermoelasticity is used to solve the boundary value problems between two elastic media with two different types of temprature under the influence of gravity.The classical dynamical coupled theory and Lord-Şhulman theory are used to obtain the general solution of the governing equations and investigate the effect of surface waves in an isotropic elastic medium subjected to gravity field. The harmonic vibrations method is used to obtain the displacement components, stress tensor and temperature distribution in the considerd physical domain with comparison with the two theories. The obtained analytic solution of the problem is applied for special cases for which the effect of two temperatures is studied. The conductive and dynamical temperatures as well as stress and strain components are shown graphically for a suitable material. Some comparisons are also introduced in the absence and in the presence of gravity, and two-temperature parameter. The differences in the obtained results between the two theories are considered.
2
Content available remote Response of thermoelastic microbeam with double porosity structure due to pulsed laser heating
Kumar Rajneesh, Vohra Richa
Mechanics and Mechanical Engineering
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2019
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Vol. 23, nr 1
76--85
EN
The present investigation is concerned with vibration phenomenon of a homogeneous, isotropic thermoelastic microbeam with double porosity (TDP) structure induced by pulsed laser heating, in the context of Lord-Shulman theory of thermoelasticity with one relaxation time. Laplace transform technique has been applied to obtain the expressions for lateral deflection, axial stress, axial displacement, volume fraction field, and temperature distribution. The resulting quantities are recovered in the physical domain by a numerical inversion technique. Variations of axial displacement, axial stress, lateral deflection, volume fraction field, and temperature distribution with axial distance are depicted graphically to show the effect of porosity and laser intensity parameter. Some particular cases are also deduced.
3
Content available Forced vibrations of a thermoelastic double porous microbeam subjected to a moving load
Kumar Rajneesh, Vohra Richa
Journal of Theoretical and Applied Mechanics
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2019
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Vol. 57 nr 1
155--166
EN
The present paper deals with forced vibrations of a homogeneous, isotropic thermoelastic double porous microbeam subjected to moving load, in context of Lord-Shulman theory of thermoelasticity with one relaxation time. The Laplace transform has been applied to obtain expressions for the axial displacement, lateral deflection, volume fraction field and temperature distribution. A numerical inversion technique has been used to recover the resulting quantities in the physical domain. Effects of velocity and time parameters are shown graphically by plotting axial displacement, lateral deflection, volume fraction field and temperature distribution against distance. Some particular cases are also deduced.
4
Content available remote Elastodynamic problem for an infinite body having a spherical cavity in the theory of thermoelasticity with double porosity
Kumar M. R., Vohra R.
Mechanics and Mechanical Engineering
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2017
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Vol. 21, nr 2
267--289
EN
The present investigation is concerned with homogeneous, isotropic infinite double porous thermoelastic body with a spherical cavity subjected to ramp type mechanical/thermal source in the context of Lord-Shulman theory of thermoelasticity [1] with one relaxation time. Laplace transform technique has been used to obtain the expressions for radial stress, hoop stress, equilibrated stresses and temperature distribution. A numerical inversion technique has been applied to recover the resulting quantities in the physical domain. The components of stress and temperature distribution are depicted graphically to show the effect of porosity and relaxation time parameters. Some particular cases are also deduced from the present investigation.
5
Content available Effect of rotation on a semiconducting medium with two-temperatures under L-S theory
Othman M. I. A., Tantawi R. S., Eraki E. E. M.
Archives of Thermodynamics
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2017
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Vol. 38, no. 2
101--122
EN
The model of the equations of generalized thermoelasticity in a semi-conducting medium with two-temperature is established. The entire elastic medium is rotated with a uniform angular velocity. The formulation is applied under Lord-Schulman theory with one relaxation time. The normal mode analysis is used to obtain the expressions for the considered variables. Also some particular cases are discussed in the context of the problem. Numerical results for the considered variables are obtained and illustrated graphically. Comparisons are also made with the results predicted in the absence and presence of rotation as well as two-temperature parameter.
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