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

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.

A thermoelastic micro‐elongated layer under the effect of gravity in the context of the dual‐phase lag model

“…The system of governing equations of a micro-elongated thermoelasticity with gravity in a dual-phase-lag model can be written as [23] (Figure 1)…”

“…The thermo-elastic interactions in a micro-elongated, isotropic, homogenous medium in the presence of a moving heat source were discussed by Shaw and Mukhopadhyay [22]. Ailawalia and Sachdeva [23] described deformation as an internal heat source in a thermoelastic micro-elongated solid with an elastic overlay layer of thickness ℎ a two-dimensional deformation in a thermoelastic micro-elongated solid with a fluid layer was studied by Sachdeva [24]. Malformation due to internal heat source in thermoelastic micro-elongated solid with an infinite elastic layer has been discussed by Ailawalia and Pathania [25].…”

Internal Heat Source in Thermoelastic Microelongated Solid Under Green Lindsay Theory

“…Letting Q → 0 in (7) and µ e → 0 in (8) and (9), problem reduces to a plane strain problem in thermoelastic microelongated solid with an overlying infinite non viscous fluid [34]. The physical constants for elastic medium (granite) as [33]: …”

“…Shaw and Mukhopadhyay [28] studied the thermoelastic interactions in a microelongated, isotropic, homogeneous medium in the presence of a moving heat source. Ailawalia and Sachdeva discussed plane strain problem in a thermoelastic microelongated solid with an overlying infinite non-viscous fluid [34].…”

Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory

“…Shaw and Mukhopadhyay [5] investigated the influence of moving heat source in a thermoelastic microelongated solid in the context of the generalized theory of heat conduction. Ailawalia et al [6] studied a two-dimensional deformation problem in a thermoelastic microelongated medium with the internal heat source.…”