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This paper proposes a nonlinear cohesive/frictional contact coupled model for the mode-Ⅱ shear delamination of composite adhesive joint based on a modified Xu and Needleman's exponential cohesive model.First, the friction is assumed to increase nonlinearly at the delaminated interface when the tangential cohesive softening appears.Second, a non-associative plasticity model based on the Mohr-Coulomb frictional contact law is proposed,which includes a frictional slip criterion and a slip potential function.