Zagadnienie szczeliny w warstwowej płycie poprzecznie izotropowej

A penny-shaped crack problem for a transversely isotropic, symmetrical, three layered elastic plate is considered. The crack is situated in an elastic symmetry plane and axially loaded. The mixed boundary-value problem has been reduced to a Fredholm integral equation of the second kind. Expressions for the stress intensity factor, crack energy and crack opening displacements are derived by means of the solution of an integral equation. In the case of uniform pressure the iterative solution of the equation and expressions for the physical quantities are presented as functions of the ratio of a crack length and a plate thickness.