Random Model of Fatigue Multi-Crack Propagation
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摘要: 建立了含相互干扰多裂纹结构的裂纹扩展随机模型.提出了远源裂纹、近源裂纹、概率寿命曲面等概念.给出了相互干扰多裂纹扩展随机微分方程的统一表达形式.在工程基本假设的基础上简化了相互干扰多裂纹扩展过程的计算.在此基础上可进一步分析含相互干扰多裂纹结构的可靠性,可直接应用于工程实践.Abstract: Stochastic damage tolerance method based on the stochastic fracture mechanics is one of the most important aspects of design and evaluation technique of aircraft structure. Stochastic damage tolerance analysis model is constituted with random crack propagation model and reliability analysis model. The random model of crack propagation corresponding to interactive multi-crack has been presented in this paper. Some basic concepts are discussed, for instance: far cracks, near cracks, stochastic-life camber. A unified differential equation of multi-crack propagation is established. Basing on some engineering hypothesis, the calculation of crack propagation has been abbreviated. The damage tolerance technique has been developed in the paper. A large progress has been made on stochastic damage tolerance analysis of multi-cracked structure.
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Key words:
- crack propagation /
- reliability /
- fracture mechanics /
- damage tolerance /
- multi-crack
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[1] 费斌军,高镇同.随机谱载荷下含多裂纹结构的概率断裂力学可靠性模型[J].航空学报, 1993,14(3),A211~A214. [2]费斌军,童明波,刘文.含多裂纹结构的概率损伤容限评定方法[J].航空学报, 1995,16(2):137~142. [3]童明波.概率损伤容限评定与可靠性研究 .北京:北京航空航天大学飞行器设计与应用力学系,1995. [4]仇仲翼.应力强度因子手册[M].北京:科学出版社,1993. [5]Provan J W.Probabilistic fracture mechanics and reliability[M]. Boston :Martinns Nijhoff Publishers, 1987. [6]刘文,罗 毅,童明波.概率损伤容限分析模型研究[J].航空学报,1993,14(3):A134~A139.
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