Internal Heat Source in Thermoelastic Microelongated Solid Under Green Lindsay Theory

Abstract

Abstract. The present study deals with two dimensional deformation, due to internal heat source in a thermoelastic microelongated solid. A mechanical force is applied along the interface of elastic half space and thermoelastic microelongated half space. The problem is in the context of Green Lindsay (GL) theory. The analytic expressions for displacement component, normal force stress, temperature distribution and microelongation have been derived. The effect of internal heat source and microelongation on the derived components have been depicted graphically.

Dual-phase-lag model on microelongated thermoelastic rotating medium

“…The physical constants for elastic medium (granite) as [5]: 𝜆 = 0.884×10 10 N/m 2 , 𝜇 = 1.2667×10 10 N/m 2 , 𝜌 = 2.6×10 3 kg/m 3 , 𝑐 = 720.7 J/(kg.k), 𝑘 = 3.1 J/(m.s.k. )…”

“…The parameters 𝑀 , (𝑛 = 1, 2, 3, 4) and 𝑅 , (𝑛 = 1, 2, 3, 4) can be determined by using the boundary conditions at the surface are [3][4][5][6][7]:…”

“…The plane strain problem in a thermoelastic micro-elongated solid with an overlying infinite non-viscous fluid was discussed by [3]. More interesting problems have been studied about the thermoelastic micro-elongated solid in different cases [4][5][6][7][8][9].…”

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

“…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]. The influence of gravity on piezo-thermoelasticity utilizing the (DPL) model was studied by Ahmed [26].…”

Analysis of a Thin Layer Formation of Third-Grade Fluid

“…Some readings about research work in coating efficaciously indulge the non-linear work and their comparisons in leading TGF [8][9][10][11][12][13][14][15][16][17][18]. Sullivan et al [12] premeditated the coating depth in surface coating size/width of TGF by implementing lubrication estimates with numerical and investigational outcomes for NNF.…”