In order to achieve a better understanding of failure behavior of cruciform specimen under different biaxial loading conditions,a three-dimensional finite element model is established with solid and interface elements.Maximum stress criterion,two Hashin-type criteria and the new proposed criteria are used to predict the strength of plain woven textile composites when biaxial loading ratio equals 1.Compared with experimental data,only the new proposed criteria can reach reasonable results.The applicability of the new proposed criteria is also verified by predicting the tensile and compressive strength of cruciform specimen under different biaxial loading ratios.Moreover,the introduction of interface element makes it more intuitive to recognize delamination failure.The shape of the predicted delamination failure region in the interface layer is similar to that of the failure region in neighboring entity layers,but the area of delamination failure region is a little larger. In order to achieve a better understanding of failure behavior of cruciform specimens under different biaxial loading conditions, a three-dimensional finite element model is established with solid and interface elements. Maximum stress criterion, two Hashin-type criteria and the new proposed criteria are used to predict the strength of plain woven textile composites when biaxial loading ratio equals 1.Compared with experimental data, only the new proposed criteria can reach reasonable results. The applicability of the new proposed criteria is also verified by predicting the tensile and compressive strength of cruciform specimen under different biaxial loading ratios. Moreover, the introduction of interface element makes it more intuitive to recognize delamination failure. The shape of the predicted delamination failure region in the interface layer is similar to that of the failure region in neighboring entity layers, but the area of ​​delamination failure region is a little larger.