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Response of thermoelastic microbeam with double porosity structure due to pulsed laser heating

Kumar Rajneesh, Vohra Richa

Mechanics and Mechanical Engineering

2019

Vol. 23, nr 1

76--85

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.

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

2017

Vol. 21, nr 2

267--289

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.

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

2017

Vol. 38, no. 2

101--122

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.