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

作　　者：孙志刚[1] 宋迎东[1] 苗艳[1] 李龙彪[1] 

机构地区：[1]南京航空航天大学能源与动力学院,南京210016

出　　处：《复合材料学报》2009年第4期130-135,共6页Acta Materiae Compositae Sinica

基　　金：973计划项目;航空科学基金(05C52013);高校博士点基金(20070287039);江苏省普通高校研究生创新基金(CX08B-133Z);南京航空航天大学博士学位论文创新与创优基金(BCXJ08-05)

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;Monte Carlo方法可以有效地模拟陶瓷基复合材料的随机开裂过程。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＇s 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.

关 键 词：蒙特卡罗 基体 随机开裂 裂纹间距 

分 类 号：TB332[一般工业技术—材料科学与工程]