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

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164<br />

calibrated by means of the finite-element results. Additional<br />

work is currently being performed to develop equations to<br />

estimate s ref /s M1 . The outcome of these activities, in terms<br />

of equations that can be used to predict M J and/or s ref /s M1<br />

in routine assessments, will be published in 2010.<br />

Plastic strain in ligament<br />

In order to enable an assessment of strains in the ligament<br />

adjacent to embedded flaws, data on strain concentrations<br />

in the smaller of the two ligaments (below and above the<br />

flaw) were obtained for all cases. Figure 12 shows typical<br />

contour plots for the equivalent plastic strain in the ligaments<br />

adjacent to an embedded flaw. The example shown illustrates<br />

contour plots in model E1BH6L50L3M0, which indicate<br />

that strain concentration occurs in two plastic zones<br />

issue<br />

The Journal of Pipeline Engineering<br />

Fig.12. Contour plots for the equivalent plastic strain in the ligaments adjacent to an embedded flaw (model<br />

E1BH6L50L3M0). Sample<br />

extending from the flaw tip towards the surface at 45 o with<br />

respect to the plane of the flaw.<br />

The plastic strain at the surface on either side of the flaw<br />

corresponding to a remote axial strain on the pipe OD of<br />

1% is given in Table 3. It can be seen that such strains,<br />

which increase as the flaw height or length increase or the<br />

ligament decreases, can be as high as 11.5% (model<br />

E1BH9L50L3). It should be noted that these strains were<br />

obtained in models which were perfectly aligned. Had axial<br />

misalignment been included, the strains in the ligament<br />

would have been even higher.<br />

Further research is required to produce guidance on strain<br />

concentrations in the ligament in the presence of axial<br />

misalignment and strength mismatch. Such guidance can

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