Stress intensity factors of a crack in a composedcircular cylinder

A composed circular cylinder\ formed by a core circular cylinder\ containing a crack and enclosed by a layered hollow circular cylinder\ is investigated in regard to the evaluation of stress intensity factors[ Analytic solutions to the problem are provided\ with which the upper and lower bounds of stress intensity factors in a cracked circular cylinder\ the stress distribution in a layered hollow circular cylinder\ and the stress intensity factors for a crack in the composed circular cylinder can precisely be determined[ Numerical materialsdemonstrating the discrete values of the stress intensity factors\ as well as the general pattern according to which the stress intensity factors vary with the material and geometric constants\ are presented[ The solutions are developed based on a simpli_ed and modi_ed solution to the Hilbert problem\ and the matrix presentation and manipulation of functions and variables\ used in the circuit theory