Coupled analytical and finite element investigation of dynamic and cyclic response in cracked functionally graded beams - Nature
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AbstractOffshore and marine structures increasingly utilise Functionally Graded Materials (FGMs) because of their superior stiffness and enhanced resistance to damage under combined vibration and cyclic loading induced by waves, wind and operational conditions. This study presents a combined analytical and finite element investigation into the dynamic behaviour of a cracked FGM cantilever beam compared with eight conventional offshore structural steels. A fracture-mechanics-based analytical model, incorporating crack-induced flexibility and stiffness degradation under cyclic loading within a continuum damage mechanics framework, was developed to predict the beam’s natural frequencies and validated against finite element results, with deviations below 2%. The postulated cracks were represented by predefined notches to simulate pre-existing structural damage or defects, with crack depth ratios of a/h = 0.233, 0.
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