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analysis applied assessment bending boundary buckling calculated Charpy compared components compressive considered controlled corrosion crack crack initiation critical CTOD curve cycle defects defined deformation derivatives determined developed direction discrete displacement distribution ductile crack dynamic effect element Engineering equation estimated evaluated experiments factors failure fatigue fatigue cracks field Figure finite element flexible FPSO fracture toughness function geometry grain growth higher impact increase inspection International joints layer length loading material maximum measured mechanical metal method microstructure node notch observed obtained offshore operation parameters performed phase pipe pipeline plastic plate predicted present pressure prestrained problem procedure range region respectively riser shown shows simulated specimens standard steel strain strength stress structures surface Table technique temperature tensile thickness weight weld yield