复合材料曲板R区层间力学行为的理论预测模型

Theoretical Modeling for Interlaminar Mechanical Behavior in the R-Region of Curved Composite Laminate

  • 摘要: 本文针对复合材料L型弯曲层合板R区层间力学行为分析面临的科学和工程问题,提出了一种高效和精确预测R区应力场和失效行为的理论模型。该模型基于高阶理论,实现了R区层间应力的精确预测,并结合经典层合板理论,进一步构建了面内应力的预测方法。同时,引入层间-面内应力耦合系数以考虑面内应力对层间失效行为的影响,进而改进了现有层间失效准则。随后,采用精细化有限元仿真方法对理论模型的预测精度进行系统验证。结果表明,消除自由边效应后的有限元仿真得到的R区应力场与理论预测结果一致,证明了理论模型的精确性。在失效行为的验证中,分别采用试验和有限元仿真对临界失效载荷和失效模式进行了验证。结果表明,理论预测的临界失效载荷值和失效模式与试验和有限元结果吻合度高,进一步验证了理论模型的精确性。研究表明,所提出的理论模型兼具计算效率高和预测精度高的优势,为复合材料L型弯曲层合板的结构设计与性能评估提供了可靠的理论分析工具。

     

    Abstract: This study addresses the scientific and engineering problem of analyzing interlaminar mechanical behavior in the R-region of composite L-shaped curved laminates by proposing an efficient and accurate theoretical model for predicting stress fields and failure behavior in this region. The model achieves precise prediction of interlaminar stresses in the R-region based on higher-order theory, while classical laminate theory is integrated to further establish a predictive method for intralaminar stresses. Additionally, an interlaminar-intralaminar stress coupling coefficient is introduced to account for the influence of intralaminar stresses on interlaminar failure behavior, thereby improving existing interlaminar failure criteria. The accuracy of the theoretical model is systematically validated using detailed finite element simulations. Results demonstrate that the stress distributions obtained from finite element analysis, after eliminating free-edge effects, align well with theoretical predictions, confirming the model’s accuracy. For failure behavior validation, both experimental tests and finite element simulations are employed to assess critical failure loads and failure modes. The theoretical predictions show strong agreement with experimental and numerical results in terms of critical failure loads and failure patterns, further verifying the model’s reliability. The proposed theoretical model combines high computational efficiency with superior predictive accuracy, providing a reliable analytical tool for the structural design and performance evaluation of composite L-shaped curved laminates.

     

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