蔡氏模量与Double-Double铺层设计在混杂纤维层合板中的应用

Tsai's modulus and Double-Double design in hybrid laminates

  • 摘要: 传统的连续纤维层合板通常由0°、45°、−45°、90°角度铺层(Quad)构成。但Quad铺层的刚度可设计空间有限,过多的排列顺序也使得铺层优化和减薄设计异常困难。Double-Double(DD)层合板基于蔡氏模量不变性,给出了传统铺层的替代方法,有望简化铺层和结构的设计流程。目前有关DD层合板的设计方案主要考虑单一碳纤维的层合板,对于混杂层合板的研究还有待开展。为了将DD层合板的设计扩展到混杂条件下,根据蔡氏模量不变性,研究了混杂DD层合板的归一化刚度特点与铺层等效设计方法,并通过实验验证了混杂DD层合板的铺层替代可行性和在减薄设计上的优势。结果表明,混杂DD层合板的归一化刚度满足蔡氏模量混杂比例p*的混杂定律,混杂DD层合板的铺层参数V与等效设计范围受到混杂比例和纤维类型的影响。具有更高同质性的混杂DD铺层策略为重复构型+Φg/−Ψc/+Ψc/−Φgr(拉弯一致)或对称构型±ΦgΨcS(无耦合效应)。混杂碳纤维/玻璃纤维混杂铺层的拉伸性能等效实验表明,混杂DD层合板及其减薄后的构型可以实现刚度的等效替代(误差<3%),拉伸强度表现上则受到铺层构型和具体失效模式的影响(误差−15.2%~+2.1%)。显示出混杂DD层合板铺层等效的可行性,为混杂层合板的设计提供了新思路。

     

    Abstract: Traditional laminates are usually made up of plies with 0°, 45°, −45°, and 90°(Quad). However, the Quad layup has limited design space for stiffness, and the excessive arrangement sequence makes ply optimization and thickness reduction design exceptionally difficult. The Double-Double (DD) laminate, based on the invariance of the Tsai modulus, provided an alternative method to traditional layup. It held promise for simplifying the design process of laminate layups and structures. Currently, research for DD laminates primarily focused on the single carbon fiber types, while further research is needed for hybrid laminate configurations. To extend the design of DD laminates to hybrid conditions, the normalized stiffness and equivalent replacement for hybrid DD laminates were investigated based on the invariance of the Tsai modulus. Experimental verification confirmed the feasibility of ply replacement for hybrid DD laminates and their advantages in thickness reduction design. The results indicated that the normalized stiffness of hybrid DD laminates followed the hybrid law with respect to the Tsai modulus hybrid proportion p*. The layup parameters V and allowable range for equivalent replacement of hybrid DD laminates were influenced by the hybrid proportion and fiber types. A hybrid DD layup strategy with higher homogeneity can be achieved through a repeated configuration +Φg/−Ψc/+Ψc/−Φgr (tension-bending consistency) or a symmetric configuration or ±ΦgΨcS (no coupling effect). Tensile experimental results for the equivalent layup of hybrid carbon fiber/glass fiber quasi-isotropic laminates indicated that hybrid DD laminates and their reduced-thickness configurations could achieve equivalent tensile stiffness substitution (error < 3%), while tensile strength was influenced by specific configurations and failure modes (error ranging from −15.2% to +2.1%). This demonstrates the feasibility of equivalent ply substitution for hybrid DD laminates and provides a new approach for the design of hybrid laminates.

     

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