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基于连续损伤理论,推导了含损伤裂纹的正交各向异性材料的应力-应变关系。建立了考虑界面脱粘破坏的三维五向编织复合材料细观体胞模型,并将有限元网格尺寸和单元裂纹尺寸引入损伤演化方程。采用Hashin准则和von-Mises准则分别判断纱线与基体的初始损伤,结合Eshelby-Mori-Tanaka方法确定材料的刚度退化系数。利用ANSYS有限元软件对材料进行渐进损伤分析,得到了材料在单向拉伸作用下的应力-应变曲线和极限强度。计算结果表明,轴纱为材料的主要承力部分,小编织角材料的破坏模式主要为纱线的拉伸断裂,界面破坏情况较为严重。模拟计算结果与实验结果吻合较好。
Based on the theory of continuous damage, the stress-strain relationship of orthotropic materials with damage cracks is deduced. A three-dimensional five-directional woven composite mesoscopic cell model considering the interface debonding failure was established. The finite element mesh size and the crack size were introduced into the damage evolution equation. Hashin criterion and von-Mises criterion were used to determine the initial damage of yarn and matrix respectively. The stiffness degradation coefficient of the material was determined by Eshelby-Mori-Tanaka method. By using the finite element software ANSYS to analyze the asymptotic damage of the material, the stress-strain curve and ultimate strength of the material under uniaxial tension were obtained. The calculation results show that the shaft yarn is the main bearing part of the material, and the failure modes of the braided angle material of Xiaobian mainly are the tensile fracture of the yarn and the serious damage of the interface. The simulation results agree well with the experimental results.