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A numerical model for predicting accurately the delamination propagation of multidirectional laminates under puremodeⅠand mixed-modeⅠ/Ⅱfracture with cohesive elements is proposed.Instead of a constant fracture toughness,a fracture toughness function which reflects the variation of fiber bridging tractions,accompanying with a group of appropriate interface stiffness,interface strength,the number of cohesive elements in cohesive zone and viscosity coefficient determined by the trial and error method among recommended guidelines or values in literatures,can provide accurate simulation on the delamination growth of multidirectional laminates.The predicted delamination behaviors of multidirectional laminates with interfaces 0°/5°,45°/-45°and90°/90°in both DCB and MMB tests are consistent with experimental outcomes,which give evidence of the effectiveness of the proposed model.