基于单胞有限元模型的织物复合材料弯曲刚度预报

A unit-cell model for predicting bending stiffnesses of plain woven composites

  • 摘要: 织物复合材料沿厚度方向纤维束分布不均匀,当层数较少时,采用工程常数得到的弯曲刚度与试验值偏差较大。为提高弯曲刚度预报精度,采用凸透镜状截面假设和周期性三次贝塞尔函数描述纤维束几何模型,建立了一种可直接计算织物复合材料弯曲刚度的单胞有限元模型。根据弯曲与扭曲情况下的周期性位移边界条件,结合六面体体素网格划分方法,给出了非均匀分布周期性位移边界条件的约束方程,并基于ABAQUS平台实现了约束方程的逐点施加。开展了拉伸、四点弯曲及悬臂薄板弯曲试验。结果表明:所建立的单胞有限元模型可准确预报织物复合材料的弯曲刚度;对于悬臂薄板弯曲构型预测,相比采用工程常数得到的结果,采用本文预报的弯曲刚度作为输入条件时,分析结果与试验吻合更好。

     

    Abstract: Yarns in the thin-walled plain woven composites are not homogeneous through the thickness, and hence there are noticeable discrepancies between the bending stiffnesses obtaied from engineering constants and the experimental results. A direct micromechanical method for predicting bending stiffnesses has been proposed here using the unit-cell finite element model. The path of the yarn center was taken to be periodic cubic bézier curve, and the 3D geometry model of a unit-cell was obtained assuming that the yarns enjoy constant cross section with a lenticular shape. The periodic boundary conditions for bending and twisting conditions were presented. Combing the cubic voxel mesh method, the non-uniform distributed displacement fields were applied by coupling the freedom degrees of the opposite points one by one. The tension, four-point bending and cantilever plate bending tests were conducted. The results indicate that the provided unit-cell finite element model can predict the bending stiffnesses precisely. As to the bending configuration of the cantilever plate, comparing with the results obtained from engineering constants, the results depending on the predicted stiffnesses agree better with the test.

     

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