Thermodynamic behaviour of microstretch viscoelastic solids with internal heat source

The dynamical interactions caused by a line heat source moving inside a homogeneous isotropic thermo-microstretch viscoelastic half space, whose surface is subjected to a thermal load, are investigated. The formulation is in the context of generalized thermoelasticity theories proposed by Lord and Shulman (J. Mech. Phys. Solid, 15, 299 (1967)) and Green and Lindsay (Thermoelasticity, J. Elasticity, 2, 1 (1972)). The surface is assumed to be traction free. The solutions in terms of displacement components, mechanical stresses, temperature, couple stress, and microstress distribution are procured by employing the normal mode analysis. The numerical estimates of the considered variables are obtained for an aluminium–epoxy material. The results obtained are demonstrated graphically to show the effect of moving heat source and viscosity on the displacement, stresses, and temperature distribution.

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Plane Strain Deformation In A Thermoelastic Microelongated Solid With Internal Heat Source

International Journal of Applied Mechanics and Engineering ◽

10.1515/ijame-2015-0047 ◽

2015 ◽

Vol 20 (4) ◽

pp. 717-731

Author(s):

P. Ailawalia ◽

S.K. Sachdeva ◽

D.S. Pathania

Keyword(s):

Temperature Distribution ◽

Heat Source ◽

Normal Mode Analysis ◽

Internal Heat ◽

Internal Heat Source ◽

Displacement Component ◽

Mode Analysis ◽

Plane Strain Deformation ◽

Gl Theory ◽

Component Force

Abstract The purpose of this paper is to study the two dimensional deformation due to an internal heat source in a thermoelastic microelongated solid. A mechanical force is applied along an overlaying elastic layer of thickness h. The normal mode analysis has been applied to obtain the exact expressions for the displacement component, force stress, temperature distribution and microelongation. The effect of the internal heat source on the displacement component, force stress, temperature distribution and microelongation has been depicted graphically for Green-Lindsay (GL) theory of thermoelasticity.

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Two-Dimensional Deformation in a Thermoelastic Solid with Microtemperatures Subjected to an Internal Heat Source

International Journal of Applied Mechanics and Engineering ◽

10.1515/ijame-2018-0001 ◽

2018 ◽

Vol 23 (1) ◽

pp. 5-21 ◽

Cited By ~ 3

Author(s):

P. Ailawalia ◽

S. Budhiraja ◽

J. Singh

Keyword(s):

Heat Source ◽

Half Space ◽

Normal Mode Analysis ◽

Internal Heat ◽

Internal Heat Source ◽

Mode Analysis ◽

Two Dimensional ◽

Thermoelastic Medium ◽

Generalized Thermoelastic ◽

Thermoelastic Solid

AbstractThe purpose of this paper is to study the two dimensional deformation in a generalized thermoelastic medium with microtemperatures having an internal heat source subjected to a mechanical force. The force is acting along the interface of generalized thermoelastic half space and generalized thermoelastic half space with microtemperatures having an internal heat source. The normal mode analysis has been applied to obtain the exact expressions for the considered variables. The effect of internal heat source and microtemperatures on the above components has been depicted graphically.

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Effect of Internal Heat Source on the Onset of Double-Diffusive Convection in a Rotating Nanofluid Layer with Feedback Control Strategy

Advances in Mathematical Physics ◽

10.1155/2017/2789024 ◽

2017 ◽

Vol 2017 ◽

pp. 1-12 ◽

Cited By ~ 4

Author(s):

I. K. Khalid ◽

N. F. M. Mokhtar ◽

I. Hashim ◽

Z. B. Ibrahim ◽

S. S. A. Gani

Keyword(s):

Feedback Control ◽

Heat Source ◽

Particle Density ◽

Normal Mode Analysis ◽

Density Ratio ◽

Internal Heat ◽

Internal Heat Source ◽

Mode Analysis ◽

Onset Of Convection ◽

Double Diffusive

A linear stability analysis has been carried out to examine the effect of internal heat source on the onset of Rayleigh–Bénard convection in a rotating nanofluid layer with double diffusive coefficients, namely, Soret and Dufour, in the presence of feedback control. The system is heated from below and the model used for the nanofluid layer incorporates the effects of thermophoresis and Brownian motion. Three types of bounding systems of the model have been considered which are as follows: both the lower and upper bounding surfaces are free, the lower is rigid and the upper is free, and both of them are rigid. The eigenvalue equations of the perturbed state were obtained from a normal mode analysis and solved using the Galerkin method. It is found that the effect of internal heat source and Soret parameter destabilizes the nanofluid layer system while increasing the Coriolis force, feedback control, and Dufour parameter helps to postpone the onset of convection. Elevating the modified density ratio hastens the instability in the system and there is no significant effect of modified particle density in a nanofluid system.

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Two-Temperature Generalized Thermoviscoelasticity with Fractional Order Strain Subjected to Moving Heat Source: State Space Approach

Journal of Mathematics ◽

10.1155/2015/487513 ◽

2015 ◽

Vol 2015 ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Renu Yadav ◽

Kapil Kumar Kalkal ◽

Sunita Deswal

Keyword(s):

Heat Source ◽

State Space ◽

Fractional Order ◽

Mechanical Load ◽

Generalized Thermoelasticity ◽

Internal Heat ◽

Internal Heat Source ◽

Conductive Temperature ◽

Special Cases ◽

Two Temperature

The theory of generalized thermoelasticity with fractional order strain is employed to study the problem of one-dimensional disturbances in a viscoelastic solid in the presence of a moving internal heat source and subjected to a mechanical load. The problem is in the context of Green-Naghdi theory of thermoelasticity with energy dissipation. Laplace transform and state space techniques are used to obtain the general solution for a set of boundary conditions. To tackle the expression of heat source, Fourier transform is also employed. The expressions for different field parameters such as displacement, stress, thermodynamical temperature, and conductive temperature in the physical domain are derived by the application of numerical inversion technique. The effects of fractional order strain, two-temperature parameter, viscosity, and velocity of internal heat source on the field variables are depicted graphically for copper material. Some special cases of interest have also been presented.

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Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171298000829 ◽

1998 ◽

Vol 21 (3) ◽

pp. 595-602 ◽

Cited By ~ 7

Author(s):

Sarbani Chakravorty ◽

Amitava Chakravorty

Keyword(s):

Heat Source ◽

Scalar Potential ◽

Boundary Surface ◽

Thermal Relaxation ◽

Internal Heat ◽

Internal Heat Source ◽

Small Time ◽

Transform Domain ◽

Line Heat Source ◽

Fourier And Laplace Transforms

This paper is concerned with the transient waves created by a line heat source that suddenly starts moving with a uniform velocity inside a thermoelastic semi-infinite medium with thermal relaxation of the type of Lord and Shulman. The source moves parallel to the boundary surface which is traction-free. The problem is reduced to the solution of three differential equations, one involving the elastic vector potential, and the other two coupled, involving the thermoelastic scalar potential and the temperature. Using Fourier and Laplace transforms, the solution for the displacements have been obtained in the transform domain. The displacements have been calculated on the boundary surface for small time.

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