聚四氟乙烯-芳纶/酚醛树脂斜纹织物衬垫不同磨损阶段弹性常数计算模型

Calculation model of elastic properties of polytetrafluoroethylene-aramid/phenolic resin twill fabric liner at different wear stages

  • 摘要: 为了探究磨损对聚四氟乙烯(PTFE)和芳纶(Kevlar)纤维及酚醛树脂基体(PTFE-Kevlar/酚醛树脂)编织成的斜纹织物衬垫宏观弹性常数的影响。基于复合材料细观力学中的数学模型和体积平均算法,结合斜纹衬垫的细观结构,建立了不同磨损阶段的细观几何模型。从未磨损阶段入手,基于纤维织物几何参数及纤维各自弹性常数,利用MATLAB计算衬垫纤维束和基体的各自体积分数及相关矩阵,实现斜纹织物衬垫局部坐标系与整体坐标系下的弹性常数转化。构建了未磨损阶段衬垫的弹性常数计算模型,并利用算例证明方法的正确性,理论值与试验值的最大误差为5.88%。在此基础上,根据衬垫的结构,把磨损划分为6个阶段,建立不同磨损阶段的弹性常数计算模型。

     

    Abstract: In order to study the effect of wear on the macroscopic elastic constants of fabric liners made of polytetrafluoroethylene (PTFE) and fabric (Kevlar) as well as phenolic resin matrix, the microscopic geometric models of different wear stages were established in combination with the microstructure of the twill liner based on the mathematical model and the volume averaging algorithm in the micro mechanics of composites. Based on the geometrical parameters and the elastic constants of the fibers, the volume fraction and the correlation matrix of the fiber bundle and the matrix were calculated by MATLAB. Realizing the transformation of the elastic constants of the local coordinate system and the global coordinate system of the twill fabric liner, the elastic constant calculation model of the liner in the unworn stage was constructed, and the correctness of the method was proved by an example. The maximum error between theoretical and experimental values is 5.88%. On this basis, according to the structure and the wear depth of the liner, the wear was divided into six stages, and the elastic constants calculation models of different wear stages were established.

     

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