Simplified Equation to Evaluate the Stress Intensity Factor of an Arbitrarily Located Circumferential Crack in a Cylinder under Radial Temperature Distribution

A simplified equation to directly calculate the stress intensity factor of an arbitrarily located circumferential crack in a cylinder under radial temperature distribution was theoretically derived, based on the theory of cylindrical shell and compliance. The effects of the cylinder length and the crack position on the stress intensity factor can be evaluated by the equation. From the numerical illustration, it was shown that the stress intensity factor of a short cylinder is smaller than that of a long one, if the temperature distribution and the cylinder configuration are the same. In addition, in case the crack is located near the cylinder edge, the stress intensity factor became smaller than that in case the crack is located at the middle point of the cylinder length