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考虑纱线截面的变化、相互挤压,建立了三维四向复合材料内部单胞、表面单胞及角胞细观模型。对三种单胞模型施加了相应的周期性边界条件,采用刚度体积平均法,建立了三维四向复合材料刚度预测模型,预测了切边和非切边三维四向碳/碳复合材料纵向弹性模量。结果表明,三单胞预测模型在材料宽度为8、13、16、21mm的预测值时,与试验平均值的误差分别为18.3%、5.8%、4.2%和5%,模型预测精度在材料宽度增加时,预测精度明显提高,当材料宽度大于13mm时,能较好的预测三维四向碳/碳复合材料纵向弹性模量,且三单胞模型的预测精度显著优于内部单胞模型。
Considering the changes of yarn cross-section, the three-dimensional four-way composites were set up to simulate the single unit cell, the surface unit cell and the horn cell model. The corresponding periodic boundary conditions were applied to the three kinds of single cell models. The stiffness and volume average method was used to establish the stiffness prediction model of three-dimensional and four-direction composites. The longitudinal elasticity of triaxial and non-trimming 3D / carbon composites was predicted Modulus. The results show that the prediction error of the three-cell prediction model is 18.3%, 5.8%, 4.2% and 5%, respectively, when the material width is 8, 13, 16 and 21mm, When the material width is larger than 13 mm, the longitudinal elastic modulus of the three-dimensional carbon / carbon composite can be predicted well, and the prediction accuracy of the three-cell model is significantly better than that of the internal cell model.