A new lamination theory for layered textile composites that account for manufacturing induced effects

This paper is concerned with the development of a new lamination theory for layered textile composites that can account for manufacturing induced effects. The theory can be used for the calculation of the effective linear elastic extensional and bending stiffnesses of laminated textile composite panels. A representative unit cell (RUC) of the textile architecture is first identified along with its constituents. Tow geometry is represented analytically taking account of tow undulation. Each tow is modeled as a transversely isotropic linear elastic solid and the contribution from each tow to the RUC elastic bending stiffness is obtained by volume averaging, taking account of the volume fraction of each constituent. The formulation is amenable to the incorporation of geometric changes to the textile architecture that occurs through manufacturing induced consolidation. Predictions of the elastic bending stiffness are compared against experimental data, showing a strong correlation between the analytical model and the experimental results.

本文关注一种用于层状纺织复合材料的新层合理论的发展，该理论能够考虑制造诱导效应。该理论可用于计算层状纺织复合材料板的有效线性弹性拉伸刚度和弯曲刚度。首先确定纺织结构的代表性单胞（RUC）及其组成部分。考虑丝束起伏，对丝束几何形状进行解析表示。将每根丝束建模为横向各向同性线性弹性固体，通过体积平均并考虑各组成部分的体积分数，得到每根丝束对RUC弹性弯曲刚度的贡献。该公式适用于纳入因制造诱导压实而发生的纺织结构几何变化。将弹性弯曲刚度的预测结果与实验数据进行比较，结果表明分析模型与实验结果之间具有很强的相关性。