碳纤维/环氧复合材料弯曲性能离散特征的统计模拟

Statistical Simulation of Discrete Characteristics in the Bending Performance of Carbon Fiber/Epoxy Composites

  • 摘要: 复合材料结构的设计与应用主要采用安全系数法,但由于复合材料的力学性能离散性较大,该方法在实践中可能导致过度设计或存在可靠性问题,难以充分发挥其轻量化潜力。因此,概率方法被引入相关设计之中,为降低该方法所需的时间与资源成本,有必要对复合材料力学性能的随机性开展数值模拟。本研究以单向碳纤维(TZ700S-12K)织物为增强体、环氧树脂为基体制备了层合复合材料,采用实验与模拟相结合的方法,旨在构建能够精确预测复合材料弯曲性能统计分布特征的数值模型。通过系统测试,获取了单向复合材料的强度与模量,以及层间相关参数的离散数据,并利用Weibull分布进行统计表征。基于此,采用自主开发的Python脚本在有限元分析软件ABAQUS中实现材料属性的空间随机赋值,并结合三维Hashin失效准则和内聚力模型对层内损伤与层间分层的模拟,构建了局部与整体离散弯曲有限元模型。结果表明,局部离散弯曲模型预测的弯曲强度和破坏应变与实验值具有良好一致性,能够较好地反映复合材料弯曲性能的分散特征,其破坏呈现局部区域率先萌生损伤并逐步扩展的渐进演化过程。而整体离散弯曲模型因材料属性赋值未能反映层内与层间的局部性能差异,导致预测结果偏高,破坏过程表现整体突发失效特征。本研究构建的随机多尺度分析框架可为复合材料弯曲性能的可靠性设计提供方法支撑。

     

    Abstract: The design of composites structures mainly relies on the safety factor method. However, due to the significant variability in the mechanical properties of composites, this approach can lead to overdesign or reliability issues, limiting their lightweight potential. Probabilistic methods have been introduced to address this, but reducing their computational cost requires numerical simulations that account for the randomness in composite mechanical properties. This study uses unidirectional carbon fiber (TZ700S-12K) fabric and epoxy resin to prepare laminated composites. By combining experiments and simulations, this research develops a numerical model to accurately predict the statistical distribution of the flexural properties of composites. Tests have been conducted to obtain discrete data on the strength and modulus of unidirectional composites, as well as interlaminar parameters, with statistical characterization performed using the Weibull distribution. Based on this foundation, two discrete finite element models for bending were established at the local and global scales. Within these models, material properties were spatially randomized through a self-developed Python script in ABAQUS, while intralaminar damage and interlaminar delamination were simulated by integrating the 3D Hashin failure criterion with a cohesive zone model. The local discrete bending model effectively captures the scattering characteristics of bending performance. Its predictions for bending strength and failure strain show strong agreement with experimental values, while the failure process exhibits progressive evolution featuring localized initiation and gradual expansion of damage. The material property assignment in the global discrete bending model does not effectively represent the local performance variations within and between layers, leading to overestimated predictions and an overall abrupt failure pattern during the damage process. The random multi-scale analysis framework developed in this study provides support for characterizing the variability and reliability design of bending properties in composites.

     

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