Page 98 - Pipelines and Risers
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Limit-state based Strength Design                                     71

        PD6493 FAD (Failure Assessment Diagram) gives critical stress for the given  defect and
        material. It is necessary to convert the critical stress to critical strain and for this the Ramberg-
        Osgood relationship is used as defined below:
                O    3  0
            E = - (1 + -(-)n-l}                                           (4.13)
                E      O0.7

        where:
            o0., = 430 MPa for X65 at 20°C
            n    = 26 for X65 at 20°C

       The allowable strain criterion used in this report is conservative due to:


          The stress-strain curves used in converting stress to strain are based on the lowest yield
          stress and lowest ultimate stress.
          PD6493 has been derived for load-controlled situations, but  is here applied to both  load
          and displacement-controlled situations.
          The flow stress is in PD6493 defined as the average of yield and tensile stress.


       Corrosion in girth welds can significantly reduce the critical tensile strain of the girth welds if
       a flaw is assumed to be in the surface of the corroded weld. Fracture mechanics assessment of
       existing pipelines has shown that the critical strain can be between 0.1% for heavily corroded
       pipes and 0.5% for pipes with  shallow corrosion defects. However, we shall not assume the
       combination of corrosion and cracks in the girth welds, although some pitting could occur in
       the BAZ (Heat Affect Zone). If  corrosion takes place, it will occur over a certain number of
       years after entering into service, when the maximum strain load became lower due to reduced
       operating pressure and temperature, and “shakedown” of peak stresdstrain levels in a number
       of shut downs.

       In the technical report “Update of laying criteria for pipelines”, Denys and Lefevre, it is stated
       that the failure of  welds under displacement controlled situations is highly dependent on the
       weld  matching (in  particular), and  on  the ratio of  yield  to tensile strength. They  gave an
       allowable strain of  0.61x1.2A.5 = 0.50  % (a safety factor of  1.5 is applied to the critical
       strain) for defect length dl.2 and depth 3 mm, assuming that the weld is matched and the ratio
       of  yield to tensile strength is 0.87. They also reported that the results are very sensitive to
       weld  matching (over-matching will  increase the  allowable strain considerably, and  under-
       matching will reduce it).

       The Dutch code NEN 3650 states that, normally, a tensile strain of  0.5%  will not pose any
       problems  for  material  and  welding in  accordance with  their  specifications. If  it  can  be
       demonstrated that  the  ductility of  the  material is  greater,  higher strains can  be  tolerated
       accordingly.
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