Transient Thermoelasticity in a Transversely Isotropic Infinite Cylinder Containing a Flat Circular Rigid Inclusion.

Abstract

The present paper discusses a transient thermoelastic problem in a transversely isotropic infinite cylinder containing a flat circular rigid inclusion, in which axisymmetric heating is subjected to the lateral surface of the cylinder. The method of successive approximation as well as the Fourier integral and the Bessel series are used to satisfy the boundary conditions of displacement and stresses. Numerical calculations of the stress singularity coefficient at the tip of the inclusion are carried out for a transversely isotropic graphite and compared with those derived under isotropic conditions.