L. Cizelj et al., APPLICATION OF 1ST AND 2ND-ORDER RELIABILITY METHODS IN THE SAFETY ASSESSMENT OF CRACKED STEAM-GENERATOR TUBING, Nuclear Engineering and Design, 147(3), 1994, pp. 359-368
The First- and Second Order Reliability Methods (FORM and SORM) have b
een applied in the safety assessment of steam generator tubes with thr
ough-wall axial stress corrosion cracks. The underlying probabilistic
fracture mechanics model takes into account the scatter in tube geomet
ry, material properties and stable crack propagation. Also, the effect
of the maintenance strategy has been considered. A realistic numerica
l example has been given to compare the failure probabilities calculat
ed by FORM and SORM to those obtained by different versions of Monte C
arlo simulations. The relative errors of the numerical methods employe
d have been analysed, which has shown that FORM performs in an accepta
ble and SORM in an excellent manner. Some changes in failure surface p
roperties, caused by different maintenance strategies, are indicated a
nd a sensitivity analysis of influencing parameters is made. The resul
ts obtained demonstrate the applicability of FORM and SORM in the safe
ty assessment of stress corrosion cracked steam generator tubing.