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analysis applied approach Arctic assessment axial bending buckle cable calculated carrier cause coefficient collapse combination compared Conference considered corrosion cost crack damage defect depth detailed determined developed diameter displacement distribution dynamic effect elastic element Engineering equation experimental factor failure field Figure flexible flow flowline fluid force foundation fracture function geometry given grooves heat increase initial inspection installation internal lateral layer length limit liner load material maximum measured Mechanics method observed obtained occur Offshore operation parameters performed phase pipe pipeline position predicted presented pressure production range ratio reduced relation resistance respectively response riser risk sand seabed shown shows simulation soil solution specimens steel strain strength stress structure surface Table temperature tests thermal thickness values wave wrinkle