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alloy American Society analysis analyzed applied ASME axial bending cable tray calculated coefficient components concrete crack growth creep curve cyclic cylinder defined deformation displacement effect elastic equation evaluation experimental factor fatigue crack fatigue tests Figure finite element Finite Element Analysis finite element method flange fracture Fracture Mechanics frequency function hoop stress internal pressure linear load material matrix maximum mean stress Mechanical Engineers method mode mode shapes nodes nonlinear nozzle Nuclear obtained parameter photoelastic plane plastic Poisson's ratio Pressure Vessel principal stress problem procedure radial ratio Reactor received at ASME Reference residual stresses response rotation rupture shear shear stress shell shown in Fig Society of Mechanical solution specimen stiffness strain gage stress intensity stress-strain stress-strain curve structure substructure super elements surface Table temperature thermal thickness tion tube ultrasonic uniaxial vector weld yield yield strength