基于Weibull模型的C/C复合材料销钉剪切强度分布及本构关系

Shear strength distribution and constitutive model of C/C composite pins based on Weibull model

  • 摘要: 针对C/C复合材料销钉力学性能各向异性的特点,开展基于Weibull分布模型的C/C销钉剪切强度分布及本构关系研究,探讨不同剪切方向对C/C销钉剪切强度和剪切本构的影响规律。基于两参数Weibull分布模型,采用最小二乘法获得不同剪切方向上剪切强度的分布规律;根据C/C复合材料损伤失效机制,采用基于Weibull分布的弹性损伤模型表征材料的剪切本构关系,并通过试验数据获取损伤模型中的参数。结果表明:通过Kolmogorov-Smirnov拟合优度检验,两参数Weibull分布模型能较好地表征C/C销钉剪切强度的分布规律;沿45°方向剪切的C/C销钉,其剪切强度最高;随着剪切角度的增大销钉剪切刚度逐渐降低,从0°方向上的19.46 kN/mm下降到90°方向上的12.70 kN/mm。

     

    Abstract: Due to the anisotropic characteristics of C/C composite pins, the loading direction effects on the shear strength and shear constitutive model based on the Weibull model were studied. Then the Weibull model was invited to analyze the statistic distribution of the shear strength, and the parameters were estimated by the least square method. Based on the failure mechanism of C/C composites, an elastic-damage constitutive model with Weibull distribution was proposed, and the parameters were estimated with experimental data. The results show that the two-parameter Weibull function can be used to characterize the statistic distribution of shear strength according to the Kolmogorov-Smirnov test, and the C/C composite pins show the highest shear strength along the 45° direction. The shear stiffness of C/C composite pins decreases with the increasing shear angle, which decreases from 19.46 kN/mm (0° direction) to 12.70 kN/mm (90° direction).

     

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