Page 66 - Pipelines and Risers
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        Chapter 3



        BucklingKollapse of Deepwater Metallic Pipes



        3.1  General

        Buckling and collapse strength of metallic pipes have been an important subject for the design
        of pipelines, risers and TLP tendons, as well as piping, pressure vessels, tubular structures in
        offshore and civil engineering.


        Elastic-plastic  buckling  of  pipes  under  external  pressure  was  solved  by  Timoshenko  as
        described in his book  “Theory of  Elastic Stability” Timoshenko and Gere (1961). In recent
        years,  non-linear  finite  element  analysis  has  been  used  as  an  accurate  tool  to  predict
        bucklingkollapse  capacity of  pipes  under external  pressure,  bending  and  axial  force. The
        finite element model has been validated against laboratory tests and applied to derive design
        equations. The review of  the historic work and the latest research results on this topic may be
        found from Murphey and Langner (1985), Ellinas et al. (1986), Gresnigt (1986) and a series
        of journal  papers by Bai et al. (1993, 1994, 1995, and  1997), Mohareb et al. (1994), Hauch
        and Bai (1999,2000) and Bai et al. (1999).

        NOMENCLATURE:
        A        Area
        D        Average diameter
        d        Depth of defect/corrosion
        E        Young’s modulus
        F        True longitudinal force
        F?       True longitudinal yield force
        fo       Initial out-of-roundness

        h        Thickness of defect wall
        I        Moment of inertia
        Ki       Constants
        M        Moment
        Me       Moment capacity
        P        Pressure
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