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The yield locus of a cold-rolled transformation-induced plasticity (TRIP780) steel sheet was investigated using a biaxial tensile test on a cruciform specimen. The effect of the key dimensions of the cruciform specimen on the calculation error and stress inhomogeneity was analyzed in detail using an orthogonal test combined with a finite element analysis. Scanning electron metallography (SEM) observations of the TRIP780 steel were performed. The yield curve of the TRIP780 steel was also calculated using the Von Mises, Hill '48, Hill '93, Barlat '89, Gotoh and Hosford yield criteria. The experimental results indicate that none of the selected yield criteria completely agree with the experimental curve. The Hill '48 and Hosford yield criteria have the largest error while the Hill '93 and Gotoh yield criteria have the smallest error.

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.