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JPE - Sept09 - cover2-4.pmd - Pipes & Pipelines International ...

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156<br />

Results<br />

J-based limit loads -<br />

dependence on applied load<br />

Analyses using the above stress-strain model enabled the Jintegral<br />

to be calculated as a function of the applied load<br />

along the crack front. The highest J values, which generally<br />

occurred at the middle of the crack front adjacent to the<br />

smaller of the two ligaments (below and above the flaw),<br />

were adopted.<br />

The Journal of Pipeline Engineering<br />

Pipe dimension<br />

s,<br />

mm<br />

Flaw<br />

dimension<br />

s,<br />

mm<br />

Outside<br />

diameter<br />

Wall<br />

thickne<br />

ss<br />

Height Length<br />

Ligame<br />

nt<br />

to<br />

ID<br />

Ligame<br />

nt<br />

OD<br />

E1BH3L50L1. 5M0<br />

400 20 3 50 1. 5 15.<br />

5<br />

E1BH3L50L3M0400 20 3 50 3 14<br />

E1BH3L50L14M0400 20 3 50 14 3<br />

E1BH3L50L6M0400 20 3 50 6 11<br />

E1BH3L50L9M0400 20 3 50 9 8<br />

E1BH6L50L3M0400 20 6 50 3 11<br />

E1BH6L50L11M0400 20 6 50 11 3<br />

E1BH9L50L3M0400 20 9 50 3 8<br />

E1BH6L50L6M0400 20 6 50 6 8<br />

E1BH6L50L1. 5M0<br />

400 20 6 50 1. 5 12.<br />

5<br />

E1BH3L25L3M0400 20 3 25 3 14<br />

E1BH3L100L3M0400 20 3 100 3 14<br />

E1BH3L200L3M0400 20 3 200 3 14<br />

E1BH3L250L3M0400 20 3 250 3 14<br />

Sample issue<br />

E1BH6L25L3M0400 20 6 25 3 11<br />

E1BH6L100L3M0400 20 6 100 3 11<br />

E1BH3L25L6M0400 20 3 25 6 11<br />

Table 1. Dimensions of pipe and flaw considered in finite-element analysis models (series E1).<br />

The J results were used to estimate the following J-based<br />

limit loads according to the approach described earlier:<br />

• M J2B E – consistent with Equn 2, representing the<br />

material-specific FAD of BS 7910 (Level 2B/3B)<br />

and R6 (Option 2) with J e estimated using the elastic<br />

pipe bending stress according to Equn 5.<br />

• M J2B EP – consistent with Equn 2, representing the<br />

material-specific FAD of BS 7910 (Level 2B/3B)<br />

and R6 (Option 2) with J e estimated using the<br />

elastic-plastic pipe bending stress in Equn 6.<br />

to

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