基于损伤力学模型的概率疲劳寿命预测方法
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摘要
基于金属结构危险点复杂应力状态下的疲劳损伤演化模型,利用材料的p-S~N曲线等对其部分损伤参数和材料参数进行概率化处理,提出了一种通过随机抽样计算危险点概率裂纹形成寿命的方法,讨论了损伤演化模型参数的基本概率特性以及相关性概念,采用拉丁超立方抽样方法实现了概率损伤参数的随机抽样,由此进行不同采样点的疲劳损伤累积,继而得到危险点的疲劳裂纹形成寿命。将损伤演化模型以UMAT子程序的形式嵌入ABAQUS软件系统中,给定结构模型及疲劳加载历程,即可用于复杂结构的疲劳寿命分析。结合铝合金2024-T3直耳片的疲劳试验,对其危险点的疲劳损伤及裂纹形成寿命概率分布进行了数值计算,初步表明了新算法模型的合理性。
A method of predicting probabilistic crack propagation life through random sampling is proposed,which is based on fatigue damage evolution model under complex stress state for metal structures. Some damage parameters and material parameters are regarded as random variables through p-S ~ N curve. The probability properties of damage parameters are discussed. Latin hypercube sampling is used to generate random samples of these parameters.Fatigue damage accumulation process is simulated for different samples to get crack initiation life. When structure and load are determined,fatigue life for complex structure can be obtained by embedding damage evolution equation in ABAQUS. The probabilistic properties of fatigue life for aluminum alloys 2024-T3 straight lugs are obtained through this method which coincide well with fatigue test results,which shows the validity of the method.
A method of predicting probabilistic crack propagation life through random sampling is proposed,which is based on fatigue damage evolution model under complex stress state for metal structures. Some damage parameters and material parameters are regarded as random variables through p-S ~ N curve. The probability properties of damage parameters are discussed. Latin hypercube sampling is used to generate random samples of these parameters.Fatigue damage accumulation process is simulated for different samples to get crack initiation life. When structure and load are determined,fatigue life for complex structure can be obtained by embedding damage evolution equation in ABAQUS. The probabilistic properties of fatigue life for aluminum alloys 2024-T3 straight lugs are obtained through this method which coincide well with fatigue test results,which shows the validity of the method.
引文
[1]Van Do Vuong Nguyen,Lee Chinhyung,Chang Kyongho.High Cycle Fatigue Analysis in Presence of Residual Stresses by Using a Continuum Damage Mechanics Model[J].International Journal of Fatigue,2015,70:51-62
[2]郭强,郭杏林,樊俊铃,等.基于固有耗散的材料疲劳性能快速评估方法[J].力学学报,2014,46(6):931-939Guo Qiang,Guo Xinglin,Fan Junling,et al.An Energy Approach to Rapidly Estimate Fatigue Behavior Based on Intrinsic Dissipation[J].Chinese Journal of Theoretical and Applied Mechanics,2014,46(6):931-939(in Chinese)
[3]Kim T W,Kang D H,Yeom J T,et al.Continuum Damage Mechanics Based Creep Fatigue Interacted Life Prediction of Nickel Based Superalloy at High Temperature[J].Scripta Materialia,2007,57:1149-1152
[4]Desmorat R,Gatuingt F,Ragueneau F.Nonlocal Anisotropic Damage Model and Related Computational Aspects for QuasiBrittle Materials[J].Engineering Fracture Mechanics,2007,74(10):1539-1560
[5]唐雪松,杨继运,蒋持平,等.轴对称构件疲劳寿命预测的损伤力学-附加载荷-有限元法[J].航空学报,2002,23(2):97-101Tang Xuesong,Yang Jiyun,Jiang Chiping,et al.Damage Mechanics Additional Load Finite Element Method for Fatigue Life Prediction of Axisymmetrical Structural Members[J].Acta Aeronoutica et Astronautica Sinica,2002,23(2):97-101(in Chinese)
[6]张淼,孟庆春,张行.无扩口管路连接件疲劳寿命预估的损伤力学-有限元法[J].航空学报,2009,30(3):435-443Zhang Miao,Meng Qingchun,Zhang Xing.Damage Mechanics Finite Element Method for Fatigue Life Prediction of Flare Free Pipeline Connection Assembles[J].Acta Aeronoutica et Astronautica Sinica,2009,30(3):435-443(in Chinese)
[7]Xue Y.Modeling Fatigue Small Crack Growth with Confidence-A Multistage Approach[J].International Journal of Fatigue,2010,32(7):1210-1219
[8]Du Quesnay D L,Underhill P R.Fatigue Life Scatter in 7xxx Series Aluminum Alloys[J].International Journal of Fatigue,2010,32(2):398-402
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[10]杨锋平,孙秦,罗金恒,等.一个高周疲劳损伤演化修正模型[J].力学学报,2012,41(1):140-147Yang Fengping,Sun Qin,Luo Jinheng,et al.A Corrected Damage Law for High Cycle Fatigue[J].Chinese Journal of Theoretical and Applied Mechanics,2012,41(1):140-147(in Chinese)
[11]刘建秀,丁遂栋.铝合金光试样非对称循环疲劳极限的估算[J].机械强度,1999,21(2):157-158Liu Jianxiu,Ding Suidong.The Estimation of Nonsymmetry Cycle Fatigue Limits for Aluminum Alloy Smooth Specimens[J].Journal of Mechanical Strength,1999,21(2):157-158(in Chinese)
[12]伍国军,陈卫忠,谭贤君,等.基于拉丁超立方抽样的有限元可靠度程序开发及应用[J].岩土力学,2015,36(2):550-554Wu Guojun,Chen Weizhong,Tan Xianjun et al.Program Development of Finite Element Reliability Method and Its Application Based on Latin Hypercube Sampling[J].Rock and Soil Mechanics,2015,36(2):550-554(in Chinese)
[13]章晨璐,赵晋泉,罗卫华,等.一种基于拉丁超立方采样的概率最优潮流算法[J].科学技术与工程,2014,14(14):49-53Zhang Chenlu,Zhao Jinquan,Luo Weihua,et al.A Probabilistic Optimal Power Flow Calculation Method with Latin Hypercube Sampling[J].Science Technology and Engineering,2014,14(14):49-53(in Chinese)
[14]Der Kiureghian A,Liu P L.Structural Reliability under Incomplete Probability Information[J].Journal of Engineering Mechanics,1986,112(1):85-104
[15]中国航空材料手册编委会.中国航空材料手册:第3卷铝合金、镁合金[M].北京:中国标准出版社,2002:297-308Handbook of China Aeronautical Materials Editorial Committee.Handbook of China Aeronautical Materials:Vol.3 Aluminum Alloy,Magnesium Alloy[M].Beijing,Standards Press of China,2002:297-308(in Chinese)
[2]郭强,郭杏林,樊俊铃,等.基于固有耗散的材料疲劳性能快速评估方法[J].力学学报,2014,46(6):931-939Guo Qiang,Guo Xinglin,Fan Junling,et al.An Energy Approach to Rapidly Estimate Fatigue Behavior Based on Intrinsic Dissipation[J].Chinese Journal of Theoretical and Applied Mechanics,2014,46(6):931-939(in Chinese)
[3]Kim T W,Kang D H,Yeom J T,et al.Continuum Damage Mechanics Based Creep Fatigue Interacted Life Prediction of Nickel Based Superalloy at High Temperature[J].Scripta Materialia,2007,57:1149-1152
[4]Desmorat R,Gatuingt F,Ragueneau F.Nonlocal Anisotropic Damage Model and Related Computational Aspects for QuasiBrittle Materials[J].Engineering Fracture Mechanics,2007,74(10):1539-1560
[5]唐雪松,杨继运,蒋持平,等.轴对称构件疲劳寿命预测的损伤力学-附加载荷-有限元法[J].航空学报,2002,23(2):97-101Tang Xuesong,Yang Jiyun,Jiang Chiping,et al.Damage Mechanics Additional Load Finite Element Method for Fatigue Life Prediction of Axisymmetrical Structural Members[J].Acta Aeronoutica et Astronautica Sinica,2002,23(2):97-101(in Chinese)
[6]张淼,孟庆春,张行.无扩口管路连接件疲劳寿命预估的损伤力学-有限元法[J].航空学报,2009,30(3):435-443Zhang Miao,Meng Qingchun,Zhang Xing.Damage Mechanics Finite Element Method for Fatigue Life Prediction of Flare Free Pipeline Connection Assembles[J].Acta Aeronoutica et Astronautica Sinica,2009,30(3):435-443(in Chinese)
[7]Xue Y.Modeling Fatigue Small Crack Growth with Confidence-A Multistage Approach[J].International Journal of Fatigue,2010,32(7):1210-1219
[8]Du Quesnay D L,Underhill P R.Fatigue Life Scatter in 7xxx Series Aluminum Alloys[J].International Journal of Fatigue,2010,32(2):398-402
[9]Lemaitre J,Desmorat R.Engineering Damage Mechanics[M].Berlin,Springer,2005:26-75
[10]杨锋平,孙秦,罗金恒,等.一个高周疲劳损伤演化修正模型[J].力学学报,2012,41(1):140-147Yang Fengping,Sun Qin,Luo Jinheng,et al.A Corrected Damage Law for High Cycle Fatigue[J].Chinese Journal of Theoretical and Applied Mechanics,2012,41(1):140-147(in Chinese)
[11]刘建秀,丁遂栋.铝合金光试样非对称循环疲劳极限的估算[J].机械强度,1999,21(2):157-158Liu Jianxiu,Ding Suidong.The Estimation of Nonsymmetry Cycle Fatigue Limits for Aluminum Alloy Smooth Specimens[J].Journal of Mechanical Strength,1999,21(2):157-158(in Chinese)
[12]伍国军,陈卫忠,谭贤君,等.基于拉丁超立方抽样的有限元可靠度程序开发及应用[J].岩土力学,2015,36(2):550-554Wu Guojun,Chen Weizhong,Tan Xianjun et al.Program Development of Finite Element Reliability Method and Its Application Based on Latin Hypercube Sampling[J].Rock and Soil Mechanics,2015,36(2):550-554(in Chinese)
[13]章晨璐,赵晋泉,罗卫华,等.一种基于拉丁超立方采样的概率最优潮流算法[J].科学技术与工程,2014,14(14):49-53Zhang Chenlu,Zhao Jinquan,Luo Weihua,et al.A Probabilistic Optimal Power Flow Calculation Method with Latin Hypercube Sampling[J].Science Technology and Engineering,2014,14(14):49-53(in Chinese)
[14]Der Kiureghian A,Liu P L.Structural Reliability under Incomplete Probability Information[J].Journal of Engineering Mechanics,1986,112(1):85-104
[15]中国航空材料手册编委会.中国航空材料手册:第3卷铝合金、镁合金[M].北京:中国标准出版社,2002:297-308Handbook of China Aeronautical Materials Editorial Committee.Handbook of China Aeronautical Materials:Vol.3 Aluminum Alloy,Magnesium Alloy[M].Beijing,Standards Press of China,2002:297-308(in Chinese)