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Several failure criteria and stiffness degradation laws for composite materials are summarized and compared in terms of precision and convenience of use. The 2D/3D Hashin failure criteria are coupled with the stiffness degradation rules provided by Tan, Tserpes and Zinoviev. Three new failure models including 2D Hashin-Tan, 3D Hashin-Tser and 3D Hashin-Zin are presented for CFRP materials. The above three models were coded and incorporated into the ABAQUS software by user subroutines, among which model 2D Hashin-Tan and model 3D Hashin-Tser were programmed using the implicit algorithm VUSDFLD while model 3D Hashin-Zin was coded using the explicit algorithm VUMAT. Experiments of uniaxial tension and three-point bending were performed. A single element subjected to uniaxial tension and three-bending were simulated to check the function and precision of the new models.