In a recent test program, specimens of circu~erenti~ly cracked type 304 stainless steel pipes were subjected to dynamic cyclic loading [E. Murakami et al., in Advances in Fracture and Fatiguefor the 1990s (Edited by G. Yagawa and G. M. Wilkowski), Vol. 4, pp. 115-121 (1989)]. The experimental data indicated a linear correlation between the limit load of the pipe's cross-section, assuming elastic-plastic material behavior, and the logarithm of the number of loading cycles which are required to drive the crack through the pipe's thickness. A similar criterion is postulated to investigate the crack growth behavior observed in a High Level Vibration Test (HLVT) Program performed on a large scale modified model of a pressurized water reactor primary coolant system made of an equivalent stainless material Iy. J. Park et al., Final Report, NUREG/CR-5585 (May 1991)]. The input motion in the HLVT Program induced inelastic stresses which were responsible for the crack propagation. Reasonable results am obtained in terms of the number of loading cycles required to propagate a part-through circumferential crack through the pipe's thickness.