The thermoelastic problem for a penny-shaped anticrack with heat conductivity a transversely isotropic space

An analytical solution of a 3D transversely isotropic thermoelastic problem of a uniform heat flow disturbed by a penny-shaped rigid sheet-like inclusion (anticrack) with some small conductivity is obtained by using the potential theory method. The behaviour of thermal stresses near the edge of the disc is analysed from the standpoint of the mechanics of fracture initiation.