applied fracture mechanics

Structural Reliability Improvement Using In-Service Inspectionfor Intergranular Stress Corrosion of Large Stainless Steel Piping 343finite bodies are considered, numerical calculations of subcritical crack growth are often stillnecessary. The procedures involved for one-dimensional cracks are depicted in Fig. 5. Forsimplicity, only the case of a pre-service inspection is shown in Fig. 5, and the critical crackdepth, ac is considered to be a constant.Figure 3. Computational procedure used in estimating leak probability for nuclear power plant pipingLet P0(a) be the probability density function of as-fabricated crack depth given that a crack ispresent. The as-fabricated complementary cumulative crack depth distribution is then givenbyPh( a x) P( y)dy(23)0 0xThe density function and complementary cumulative distribution of crack depths followingan inspection with nondetection probability PND(a) are then given by'00P() a P() aP () aND(24)