This paper presents equations for the limit pressure of a cylindrical vessel with a longitudinal crack. The calculations are based on a log-spiral slip-line and plane-strain conditions. The calculated limit pressure is compared with the pressure measured in the Pressurized-Thermal-Shock Experiment No. 2, PTSE-2, performed at the Oak Ridge National Laboratory. It was found that in the PTSE-2A test the short crack extended in a region of thermal tensile stress at a measured pressure lower than the calculated limit pressure. However, in the PTSE-2B test, the long crack extended in a region of decreasing temperature gradient at a pressure about equal to the calculated limit pressure. The vessel collapsed when the pressure exceeded the limit pressure. In comparison, the crack in compact specimens [C(T)] fabricated from the same steel as the vessel extended at the limit load calculated on the basis of the flow stress. The differences in fracture behavior likely resulted from differences in degree of constraint in the C(T) specimens and the vessel.
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