P. Dillstrom et al., PROBABILISTIC FRACTURE-MECHANICS ANALYSIS OF A NUCLEAR PRESSURE-VESSEL FOR ALLOCATION OF IN-SERVICE INSPECTION, International journal of pressure vessels and piping, 54(3), 1993, pp. 435-463
To find whether there are significant differences in fracture probabil
ity between various regions in a reactor pressure vessel a limited pro
babilistic fracture mechanics (PFM) study was carried out. The loading
was assumed to be deterministic, whereas some of the other quantities
involved were assumed to be of random character. A simple, mainly ana
lytical probabilistic model was developed. The critical event was take
n as unstable crack growth without any ensuing crack arrest. All rando
m information on the J(R) vs DELTAa behaviour was assumed to be contai
ned in a single scalar parameter. Various distributions such as the We
ibull and the log-normal distributions were assumed for this parameter
to judge the sensitivity of results to various assumptions. The initi
al size of pre-service defects was assumed to follow the OCTAVIA distr
ibution. Possible time-dependent crack growth such as fatigue or stres
s corrosion cracking was treated in a simplified manner assuming deter
ministic material properties. Various regions (and crack geometries) w
ere considered and the fracture and leakage probabilities were calcula
ted for a number of load cases. The fracture probabilities were strong
ly dependent on the assumption made for the fracture toughness distrib
ution, but the order of the fracture probabilities of the regions seem
ed to be relatively unaffected by this. The leakage probabilities are
in most cases much lower than the fracture probabilities, indicating t
hat consequence considerations are not very important for non-destruct
ive test (NDT) allocation purposes. It is also concluded that probabil
istic methods of the present kind may be a useful tool for judging whi
ch locations should be the primary targets for NDT.