陶瓷基复合材料基体随机开裂的损伤模拟

Simulation of the matrix random cracking of ceramic matrix composite by Monte Carlo model

  • 摘要: 首先介绍了描述复合材料出现损伤时细观应力场的剪滞模型;给出了模拟陶瓷基复合材料基体随机开裂的有关公式;然后采用Monte Carlo方法模拟了基体随机开裂的过程;最后通过计算机模拟了陶瓷基复合材料基体裂纹的随机演化过程,分析了有关模型参数对基体裂纹演化的影响,并与文献模拟结果进行了对比。研究表明:最终裂纹间距主要分布在 1~2倍滑移长度之间;初始开裂应力越大,最终名义裂纹间距越小;Weibull 模量越大,最终名义裂纹间距越小;热残余应力越大,最终名义裂纹间距越大;模拟长度对裂纹演化影响很小;MonteCarlo方法可以有效地模拟陶瓷基复合材料的随机开裂过程。

     

    Abstract: The matrix random cracking of ceramic matrix composite was simulated by Monte Carlo model. The shear lag model was used to analyze the micro stress field of the damaged composites. The process of matrix random cracking was simulated by using computer,the effect of some model parameters on matrix cracking was analyzed,and the simulating results were compared with those of Curtin model. The results show that the final nominal crack space is between 1~2 debonded length,the final nominal crack space decreases with the increase of the minimum cracking stress,and increases with the increase of the thermal residual stress. The simulating length has little effect on the matrix crack evolution. Monte Carlo model can simulate the matrix random cracking efficiently.

     

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