纤维增强复合材料层合板冲击后疲劳等效刚度建模

Equivalent Stiffness Modeling of Fiber-Reinforced Composite Laminates After Impact Fatigue

  • 摘要: 基于复合材料均质化理论,本研究提出了一种用于计算含冲击损伤及冲击后疲劳损伤的复合材料层合板刚度分量的等效建模方法,旨在为大型复合材料结构的疲劳损伤分析提供高效可靠的建模途径。利用有限元方法建立无损层合板的实体单元模型,依据复合材料层合板的本构方程施加边界位移载荷,并通过提取应力场与变形场计算各刚度分量。将有限元模拟结果与经典层合板理论结果进行对比验证,结果表明两者具有较好的一致性。在此基础上,进一步采用验证后的方法对含冲击损伤及冲击后疲劳损伤的层合板进行了刚度退化特性分析,结果表明随着冲击能量和疲劳循环次数的增加,各刚度分量均呈现不同程度的下降,其中剪切刚度的降低幅度最大,表明材料剪切性能对层间分层和基体开裂损伤最敏感。

     

    Abstract: Based on the homogenization theory of composite materials, this study proposes an equivalent modeling method for calculating the stiffness components of composite laminates with impact damage and post-impact fatigue damage, aiming to provide an efficient and reliable modeling approach for fatigue damage analysis of large composite structures. A solid element model of undamaged laminates was established using the finite element method. Boundary displacement loads were applied according to the constitutive equations of composite laminates, and the stiffness components were calculated by extracting the stress field and deformation field. The finite element simulation results were compared with those from classical laminate theory for validation. The results showed a good consistency between the two methods. The validated method was further applied to analyze the stiffness degradation characteristics of laminates with impact damage and post-impact fatigue damage. The results indicated that with the increase in impact energy and fatigue cycle numbers, all stiffness components showed a varying degree of reduction, among which the shear stiffness decreased the most, indicating that shear properties of the material are most sensitive to interlaminar delamination and matrix crack damage.

     

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