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         Chapter 15



         Residual Strength of Dented Pipes with Cracks



        15.1  Introduction

        With the increased use of pressure vessels, pipelines and piping systems, more and more pipes
        are being  put  into use.  Mechanical  damages to pipes  occur frequently.  These damages  are
        mainly  caused  by  operation  activities,  fabrication  errors  etc.  Leakage  of  gas  and  oil  from
        pipes due to structural failure may lead to reduced operating pressure or stopped production,
        human  and  environmental  hazards  and  the  heavy  economic  loss  consequently.  Since  the
        existence of  dents especially at weld seams is one of the causes of  leakage, it is important to
        arrive at a basis for assessing the structural integrity of dented pipe with cracks.


        In  this  Chapter  the  existing  criteria  based  on  the  knowledge  of  linear  elastic  fracture
        mechanics  are  reviewed.  The  existing  criteria  modified  using  the  latest  advances  in  the
        fracture mechanics.  In  addition, safety factors  are calibrated considering  safety philosophy,
        consequence of failure and uncertainties through reliability analysis.

        Due to the uncertainties involved in loading, strength and modeling of design and assessment,
        it is necessary to carry out the pipe integrity assessment based on reliability theory accounting
        for those uncertainties rationally. While a conservative approach to these uncertainties leads
        to excessive costly structures, an unconservative approach will make the structure unsafe. A
        probabilistic approach - i.e. reliability analysis, needs to be introduced towards a design with
        balanced consideration of  safety and economy @ai and Song, 1997).


        The  first  part  of  the  chapter  deals  with  the  burst  strength  criteria  of  dented  pipes  with
        longitudinal and circumferential cracks. Subsequently, fracture assessment of damaged pipes
        is studied. Uncertainties involved in loading, strength and modeling are assessed. In the third
        part of the chapter, fracture reliability model of dented pipes with cracks is developed, a new
        design equation for dented pipes with cracks in operation with respect to fracture criterion is
        derived, reliability-based  calibration  of  safety factor and uncertainty  modeling is performed
        considering the target safety level. To verify the presented model, a design example is made
        based on an existing pipe and numerical analysis is carried out. Predicted burst strength based
        on  the  formulae  presented  in  the  chapter  agrees  with  test  results  (0lberg  et  al.  (1982)).
        Reliability-based  fracture  assessment  and  detailed  parameter  studies  are  performed  for  a
        damaged pipe. Conclusions are made and suggestions of further work are also outlined.
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