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analysis anchor applied assessment bending calculated carried coating compared composite compressive considered corrosion crack crack growth curve cycles damage defects deformation depth determined developed direction displacement distribution dynamic effect element Engineering equation estimated evaluation factor failure fatigue field Figure finite element flexible fracture function geometry given Grade heat increase initial installation insulation integrity International joint length limit load locations material maximum mean measured mechanical method mooring observed obtained Offshore operation parameters performed pipe plate predicted present pressure problem procedure production properties range reliability represent residual resistance respectively riser rope safety shown shows side simulation solution specimens stage standard steel strain strength stress structure surface Table temperature tensile tension thermal thickness titanium uncertainties variable weld