A Study on Reliability-based Fatigue-proof Design Method Based on Probabilistic Fracture Mechanics

基于概率断裂力学的可靠性抗疲劳设计方法研究

• 批准号: 07650106
• 负责人: ISHIKAWA Hiroshi
• 金额: $ 1.34万
• 依托单位: Kagawa University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07650106/
• 关键词: Reliabilily-based fatigue-proof design; Reliability assessment; Residual life distribution; Probabilistic fracture mechanics; Fatigue crack propagation; Markov approximation; Inspection and maintenance; crack length distribution; 耐疲労信頼性設計; 保守・点検

1. Stochastic models dealing with cumulative fatigue damage process can be categorized into the following six models : (1) random variable model, (2) Markov chain model, (3) Stochastic differential equation model, (4) locally averaged model, (5) renewal process model, and (6) Markov approximation model with the notion of the death point derived by the present study.Among these models, the last one currently concerned with appears to be the most promising and useful with wide practical applicability.2. By use of the model, theoretical distributions of crack length and residual life have been derived by taking into considerations a variety of uncertain factors associated with fatigue crack growth process.3. The derived distributions have been applied to solve various practical problems where safety and reliability play a major role, and their propriety has been exemplified based upon parameter sensitivity studies.4. Distribution parameters in the models can be classified into two categories : (1) physical parameter appearing in the crack propagation law itself and (2) statistical parameter associated with the randomness in applied loads and material properties. It is clarified that the latter can be estimated even by use of fairly small amount of non-statistical experimental data.

1.研究疲劳累积损伤过程的随机模型可分为以下六种：（1）随机变量模型，（2）马尔可夫链模型，（3）随机微分方程模型，（4）局部平均模型，（5）更新过程模型，（6）引入死亡点概念的马尔可夫近似模型，其中，最后一种方法是目前最有前途和实用性的，具有广泛的实用性。利用该模型，考虑了疲劳裂纹扩展过程中的各种不确定因素，推导了裂纹长度和剩余寿命的理论分布.导出的分布已被应用于解决各种实际问题，其中安全性和可靠性发挥了重要作用，其适当性已被例示的参数敏感性研究的基础上。模型中的分布参数可分为两类：（1）裂纹扩展规律本身的物理参数;（2）与载荷和材料性质的随机性有关的统计参数。它澄清了后者可以估计，甚至通过使用相当少量的非统计实验数据。

项目成果

谷本敏夫: "ランダム荷重下でのCFRPの疲労信頼性設計" 第14回材料・構造信頼性シンポジウム講演論文集. Vol.14. 165-168 (1996)

Toshio Tanimoto：“随机载荷下 CFRP 的疲劳可靠性设计”第 14 届材料与结构可靠性研讨会论文集。14. 165-168 (1996)

T.Tanimoto, H.Ishikawa and T.Ishizuka: ""Reliability-based Fatigue Design of CFRP under Random Loading"" Proc.of 14th Symposium on Reliability of Materials and Structures. Vol.14. 165-168 (1996)

T.Tanimoto、H.Ishikawa 和 T.Ishizuka：“随机载荷下 CFRP 的基于可靠性的疲劳设计”第 14 届材料与结构可靠性研讨会论文集。

H.Ishikawa: "Design Safe Lives of Composite Materials Based upon Probabilistic Fracture Mechanics" Proc.of 7-th IFIP WG7.5 Working Conf.on RELIABILITY AND OPTIMIZATION OF STRUCTURAL SYSTEMS. Vol.7. 107-112 (1996)

H.Ishikawa：“基于概率断裂力学设计复合材料的安全寿命”第七届 IFIP WG7.5 结构系统可靠性和优化工作会议论文集。