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Response due to mechanical and thermal sources in micropolar generalized thermoelastic medium

Singh R., Singh K., Kumar V.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 1

107-128

The eigen value approach, following the Laplace and Fourier transformation, is employed to find the general solution of the field equation in a micropolar generalized thermoelastic medium for a plane strain problem. An application of an infinite space with an impulsive mechanical source and thermal source is taken to illustrate the utility of the approach. The integral transformation is inverted by using a numerical inversion technique to get a result in the physical domain. The result in the form of normal displacement, normal force stress, tangential force stress, tangential couple stress and temperature field components is obtained numerically and illustrated graphically. A special case of a thermoelastic solid also deduced.

Thermoelastic interactions without energy dissipation due to various sources

Kumar R., Rani L.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 2

431-446

The linear theory of thermoelasticity without energy dissipation is employed to investigate the disturbance due to mechanical (horizontal or vertical) and thermal source in a homogeneous, thermoelasic half-space. Laplace-Fourier transforms are applied to the basic equations to form a vector matrix differential equation, which is then solved by using the eigenvalue approach. The displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and ilIustrated graphically for a magnesium-like material for an insulated boundary and temperature gradient boundary, respectively.

Axi-symmetric deformation due to mechanical and thermal sources in a thermoelastic body with voids

Kumar R., Rani L.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 2

447-463

In the present investigation, axi-symmetric deformation due to a mechanical and thermal source in a homogeneous, isotropic, thermoelastic half-space with voids has been investigated. An integral transform technique has been used to solve the problem. As an application of the problem (i) continuous normal force (ii) normal force over the circular region (iii) thermal point source (iv) thermal source over the circular region have been considered. The components of displacement, stress, temperature distribution and change in volume fraction field are obtained in the transformed domain and inverted numerically using numerical inversion technique. For a specific model, the effect of voids on these quantities has been depicted graphically.

Elastodynamic response of Mechanical and Thermal sources in Generalized Thermoelastic Half-space with Voids

Kumar R., Rani L.

Mechanics and Mechanical Engineering

2005

Vol. 9, nr 2

29--45

The dynamic response of a homogeneous, isotropic, generalized thermoelastic half-space with voids subjected to normal, tangential force and thermal source is investigated. The displacements, stresses, temperature distribution and change in volume fraction field so obtained in the physical domain are computed numerically and illustrated graphically. The numerical results of these quantities for magnesium crystal-like material are illustrated to depict voids effect in the Lord-Shulman (L-S) theory and Green-Lindsay (G-L) theory for an insulated boundary and temperature gradient boundary.