Abstract
This paper is concerned with a three-dimensional theoretical treatment of thermal stresses for a medium with Kassir's nonhomogeneous material properties. As an analytical model, we consider an infinite body containing an external crack subjected to heat flux from the surface. Assuming that the thermal conductivity λ, shear modulus of elasticity G and coefficient of linear thermal expansion α vary with the variable z of the axial coordinate according to the relations λ(z)=λ_0(z/a+1)^l, G(z)=G_0(z/a+1)^m, α(z)=α_0(z/a+1)^k, threedimensional steady temperature solution is obtained. Thereafter, the associated thermal stress distributions and thermal stress intensity factor at the crack tip are evaluated theoretically. Numerical calculations are carried out for three different cases, and the results are shown in graphical forms.
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