Journal of Theoretical
and Applied Mechanics

54, 2, pp. 593-600, Warsaw 2016
DOI: 10.15632/jtam-pl.54.2.593

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

Andrzej Kaczyński, Bohdan Monastyrskyy
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.
Keywords: transversely isotropic space, circular anticrack, heat flow, singular integral equations, thermal stress singularities