id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-194	Kar, Avijit	Generalized Thermoelasticity Problem of a Hollow Sphere Under Thermal Shock	2009	22	.pdf	application/pdf	5792	290	75	− γ(T + δ1kαṪ )δi j (1) and generalized heat conduction equation is � δ1k + δ2k ∂ ∂ t � K∇2T + δ2kK∗∇2T = ρCe � δ1k Ṫ + � δ1kα ∗ + δ2k � T̈ � + γT0 � ζδ1k + δ2k ∂ ∂ t � ∆̇, (2) where τi j(i = r,θ) is the stress tensor, ∆ is the dilatation, T is the temperature increase over the absolute reference temperature T0, γ = (3λ+ 2µ)αt , λ and µ are the Lame’s constants, αt is the coefficient of linear thermal expansion of the material, α and α∗ are the relaxation times, K is the coefficient of thermal conductivity, K∗ is the additional material constant, ρ is the mass density, Ce is the specific heat of the solid at constant strain, δi j is the Kronecker delta. Consider the following partial cases of equations (1) and (2): (i) if α = 0, α∗ = 0, k = 1, and ζ = 0, then the equations (1) and (2) are reduced to the equations of classical theory of thermo-elasticity (CTE). (ii) if α = 0, α∗ = 0, k = 1, and ζ = 1, then the equations (1) and (2) are reduced to the equations of classical coupled theory of thermo-elasticity (CCTE). (iii) if k = 1, and ζ = 1, then the equations (1) and (2) are reduced to the equations of temperature rate dependent thermo-elasticity theory (TRDTE(GL).	cache/ejpam-194.pdf	txt/ejpam-194.txt