Transient Thermoelastic Problem for a Transversely Anisotropic Hollow Cylinder with Temperature-Dependent Properties

抄録

This paper is concerned with an axisymmetric transient thermoelastic problem for a transversely anisotropic hollow cylinder, the boundary of internal surface being subjected to a sudden temperature rise. The problem is treated on assumption that the thermal and elastic properties of the cylinder are dependent on temperature. Basic equation is solved with the aid of perturbation method. The particular boundary value problems are carried out, and the corresponding displacements and stresses are clarified. For numerical examples, calculations are performed for the cases of anisotropic cylinders made of grades ATJ and ZTA graphites respectively. In these treatments, the variation of conductivity and thermal expansion is taken to be linear according to the temperature rise, but that of the Young's moduli is taken to be quadratic. The solution for an isotropic cylinder is also derived as a particular case of the present problem.