Analytical treatment of axisymmetrical thermoelastic field with Kassir's Nonhomogeneous material properties and its adaptation To boundary value problem of slab under steady temperature field

摘要

The method of an analytical development of thermoelastic problems for a medium with kassir's nonhomogeneous material properties is developed. For isothermal problems of such a nonhomogeneous body, an analytical method of development has already been proposed by M. K. Kassir under the assumption that the shear modulus of elasticity G is changed arbitrarily with the variable z of the axial coordinate according to the relation G(z)=G_0z~m. However, the analytical procedure for the thermoelastic field has not Been established. In this article, introducing the thermoelastic displacement potential Function, the analytical method of development for the axisymmetrical thermaoelastic Field is established.