考虑纤维束弯曲变形能的三维机织物介观尺度建模方法

Meso-Scale Modeling of 3D Woven Fabrics Considering Fiber Bending Deformation Energy

  • 摘要: 随着航空航天领域对三维机织物复合材料成型质量要求的提升,预成型阶段纤维束变形对最终结构力学性能的影响愈发关键。传统宏观尺度模型难以精准描述纤维束的介观尺度变形行为,而介观尺度模型又面临纤维束弯曲变形与拉压变形耦合难以解耦、弯曲刚度非线性难以准确描述等问题。对此,本文以碳纤维三维机织物为研究对象,开展了考虑纤维束弯曲变形能的介观尺度建模方法研究。构建了固体-连续壳混合单元,并提出了相邻单元法实现纤维束曲率的动态更新计算,准确描述了纤维束非线性弯曲刚度,建立了横观各向同性超弹性本构与线弹性本构耦合模型,通过纤维束悬臂弯曲试验、全尺寸介观三点弯曲试验和半球预成型试验开展了仿真与试验对比验证。所建立的高保真介观模型能够准确预测三维机织物成形过程中纤维束的变形行为,为提高复合材料成形质量预测与控制提供了理论和仿真工具支持。

     

    Abstract: With the increasing demand for the forming quality of three-dimensional (3D) woven composites in the aerospace field, the influence of yarn deformation during the preforming on the final structural performance has become increasingly critical. Conventional macroscopic models are inadequate for accurately describing meso-scale yarn deformation, while meso-scale models face challenges such as the difficulty in decoupling bending and tensile/compressive deformations and the complexity of characterizing nonlinear bending stiffness. To address these issues, this study developed a meso-scale modeling approach for carbon fiber 3D woven fabrics that explicitly incorporates the bending deformation energy of yarns. A solid-continuous shell hybrid element was developed, and an adjacent-element method was proposed to dynamically update yarn curvature, enabling accurate description of nonlinear bending stiffness. A constitutive model coupling transversely isotropic hyperelasticity with linear elasticity was established. Finally, the model was validated by comparing simulations with experiments, including yarn cantilever bending tests, full-scale three-point bending tests, and hemispherical preforming tests. The results demonstrate that the developed high-fidelity meso-scale model can accurately predict yarn deformation during the forming process of 3D woven fabrics, thereby providing theoretical and computational support for the prediction and control of composite forming quality.

     

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