C/SiC复合材料概率失效判据与结构可靠性分析研究

Research on Probabilistic failure criterion and structural reliability analysis of C/SiC composites

  • 摘要: 鉴于传统唯象强度理论难以准确判定失效边界,对C/SiC复合材料及典型结构开展了模拟与力学试验研究,引入不确定性量化方法,提出了一种考虑材料固有离散性的C/SiC复合材料概率失效判据与结构可靠性综合分析方法。首先开展力学试验,采用最小二乘方法标定Tsai-Wu准则张量系数,通过不同工况下试验数据的多源融合,将材料强度不确定性转化为失效系数的统计学分布,建立材料的概率失效判据;以C/SiC复合材料盒型结构为对象,结合Monte-Carlo数值模拟方法将概率失效判据应用于结构可靠性分析计算;最后,采用局部敏感性分析量化了各力学参数对结构失效概率的贡献度。该方法可预报材料在任意应力状态下的失效概率,识别结构关键力学参数对整体失效的敏感性,为C/SiC复合材料任意载荷下的破坏预测提供了参考,对于结构承载能力预警、安全裕量的精细化设计具有借鉴意义。

     

    Abstract: Given the difficulty traditional phenomenological strength theories face in accurately determining failure boundaries, this study investigated C/SiC composites and their typical structures through a combination of numerical simulations and mechanical testing. By incorporating uncertainty quantification methods, a comprehensive analysis approach was proposed that establishes a probabilistic failure criterion for C/SiC composites—accounting for inherent material scatter—and evaluates structural reliability. First, mechanical tests were conducted, and the least-squares method was used to calibrate the tensor coefficients of the Tsai-Wu criterion; through the multi-source fusion of test data obtained under various conditions, material strength uncertainty was transformed into a statistical distribution of failure coefficients, thereby establishing the probabilistic failure criterion. Next, using a C/SiC composite box-type structure as the subject, the probabilistic failure criterion was applied to structural reliability analysis via Monte Carlo simulation. Finally, local sensitivity analysis was employed to quantify the contribution of various mechanical parameters to the structural failure probability. This method enables the prediction of material failure probability under arbitrary stress states and identifies the sensitivity of critical mechanical parameters to overall structural failure; it provides a valuable reference for predicting the damage of C/SiC composites under arbitrary loading and offers insights for the precise design of safety margins and the monitoring of structural load-bearing capacity.

     

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