考虑全平面损伤参量的多轴低周疲劳预测方法研究
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摘要
实际工程结构往往处于复杂的多向受力状态,在循环荷载下其薄弱点发生的疲劳断裂多属于多轴疲劳失效模式.目前疲劳寿命预测方法多集中于单轴疲劳理论,忽略了多轴疲劳问题的现实性和复杂性.首先介绍了多轴疲劳的概念和特点,回顾了多轴低周疲劳寿命预测方法,针对基于临界面准则的疲劳预测方法进行了总结归纳,对比了各模型的适用范围和优缺点.研究了多轴非比例路径下剪应变幅的变化情况,考虑了其旋转造成的全平面疲劳损伤,提出了一种新的非比例路径因子反映剪应变幅数值和方向的变化对疲劳寿命的影响,并将该系数引入Fatemi&Socie模型(FS模型)进行修正.通过理论值与试验值对比,发现改进后的FS模型预测精度有所提高.
Engineering structures are always subjected to the complex multi-directional loads,and the multiaxial fatigue failure mode occurs in the weak of the structures.Previous research of fatigue life prediction focuses on uniaxial fatigue,ignoring the outness and complexity of multiaxial fatigue problems.In this study,the concept and characteristics of multiaxial fatigue were firstly introduced,and low-cycle fatigue life prediction methods were reviewed.The prediction methods based on critical plane criterion were also summarized in detail,with further analysis of the application range and features.Then a new non-proportional path factor was proposed based on variation of shear strain amplitude which produces fatigue damage in every direction subjected to non-proportional loading paths.It could reflect the influence of value and direction change on multiaxial low-cycle fatigue life.The Fatemi & Socie model(FS model)was modified by introducing the new path factor into fatigue parameter.It is found that the fatigue life prediction by the modified FS model agrees well with the experimental results.
Engineering structures are always subjected to the complex multi-directional loads,and the multiaxial fatigue failure mode occurs in the weak of the structures.Previous research of fatigue life prediction focuses on uniaxial fatigue,ignoring the outness and complexity of multiaxial fatigue problems.In this study,the concept and characteristics of multiaxial fatigue were firstly introduced,and low-cycle fatigue life prediction methods were reviewed.The prediction methods based on critical plane criterion were also summarized in detail,with further analysis of the application range and features.Then a new non-proportional path factor was proposed based on variation of shear strain amplitude which produces fatigue damage in every direction subjected to non-proportional loading paths.It could reflect the influence of value and direction change on multiaxial low-cycle fatigue life.The Fatemi & Socie model(FS model)was modified by introducing the new path factor into fatigue parameter.It is found that the fatigue life prediction by the modified FS model agrees well with the experimental results.
引文
[1]陈志华.钢结构原理与设计[M].天津:天津大学出版社,2011.Chen Zhihua.Steel Structure Design Principle[M].Tianjin:Tianjin University Press,2011(in Chinese).
[2]Han Qinghua,Guo Qi,Yin Yue,et al.Effects of strain ratio on fatigue behavior of G20Mn5QT cast steel[J].Transactions of Tianjin University,2016,22(4):302-307.
[3]余建星,郭帅,余杨,等.裂纹参数对深水海底管道疲劳寿命的影响[J].天津大学学报:自然科学与工程技术版,2016,49(9):889-895.Yu Jianxing,Guo Shuai,Yu Yang,et al.Effects of crack parameter on fatigue life of subsea pipelines[J].Journal of Tianjin University:Science and Technol-ogy,2016,49(9):889-895(in Chinese).
[4]韩庆华,叶菲,徐杰.随机疲劳在土木工程中的研究综述[J].天津大学学报:自然科学与工程技术版,2016,49(增):143-151.Han Qinghua,Ye Fei,Xu Jie.Review of random fatigue research in civil engineering[J].Journal of Tianjin University:Science and Technology,2016,49(Suppl):143-151(in Chinese).
[5]张晨阳,芦燕.复杂应力下H形钢悬臂柱柱脚焊缝热点应力分析[J].建筑钢结构进展,2016,18(6):34-41.Zhang Chenyang,Lu Yan.Hot spot stress analysis of column-base weld in H-shaped cantilever column under complex stresses[J].Progress in Steel Building Structures,2016,18(6):34-41(in Chinese).
[6]崔云,陈刚,王磊,等.多轴非比例载荷下镁合金AZ21的疲劳性能研究[J].天津大学学报:自然科学与工程技术版,2017,50(3):283-289.Cui Yun,Chen Gang,Wang Lei,et al.Fatigue characteristics of Mg Alloy AZ21 under multiaxial nonproportional loading[J].Journal of Tianjin University:Science and Technology,2017,50(3):283-289(in Chinese).
[7]Shamsaei N,Fatemi A.Effect of hardness on multiaxial fatigue behaviour and some simple approximations for steels[J].Fatigue&Fracture of Engineering Materials&Structures,2009,32(8):631-646.
[8]Shamsaei N,Gladskyi M,Panasovskyi K,et al.Multiaxial fatigue of titanium including step loading and load path alteration and sequence effects[J].International Journal of Fatigue,2010,32(11):1862-1874.
[9]You B R,Lee S B.A critical review on multiaxial fatigue assessments of metals[J].International Journal of Fatigue,1996,18(4):235-244.
[10]陈旭,高庆,孙训方,等.非比例载荷下多轴低周疲劳研究最新进展[J].力学进展,1997,27(3):313-325.Chen Xu,Gao Qing,Sun Xunfang,et al.Recent advances of multiaxial low-cycle fatigue under nonproportional loading[J].Advances in Mechanics,1997,27(3):313-325(in Chinese).
[11]Socie D F,Marquis G B.Multiaxial Fatigue[M].Warrendale:Society of Automotive Engineers,2000.
[12]王英玉,姚卫星.材料多轴疲劳破坏准则回顾[J].机械强度,2003,25(3):246-250.Wang Yingyu,Yao Weixing.Reviewon the multiaxial fatigue criteria[J].Journal of Mechanical Strength,2003,25(3):246-250(in Chinese).
[13]Karolczuk A,Macha E.A review of critical plane orientations in multiaxial fatigue failure criteria of metallic materials[J].International Journal of Fracture,2005,134(3/4):267-304.
[14]尚德广,王德俊.多轴疲劳强度[M].北京:科学出版社,2007.Shang Deguang,Wang Dejun.Muitiaxial Fatigue Strength[M].Beijing:Science Press,2007(in Chinese).
[15]Fatemi A,Shamsaei N.Multiaxial fatigue:An overview and some approximation models for life estimation[J].International Journal of Fatigue,2011,33(8):948-958.
[16]?ukasz Pejkowski.On the material's sensitivity to nonproportionality of fatigue loading[J].Archives of Civil&Mechanical Engineering,2017,17(3):711-727.
[17]Ellyin F,Golos K.Multiaxial fatigue damage criterion[J].Journal of Engineering Materials&Technology,1988,110(1):63-68.
[18]Liu,K C.A method based on virtual strain-energy parameters for multiaxial fatigue life prediction[C]//Mc Dowell D L,Ellis R.Advances in Multiaxial Fatigue.West Conshohocken:ASTM STP 1191,American Society for Testing and Materials,1993:67-84.
[19]Brown M W,Miller K J.A theory for fatigue failure under multiaxial stress-strain conditions[J].ARCHIVE Proceedings of the Institution of Mechanical Engineers,1973,187:745-755.
[20]Kandil F A,Brown M W,Miller K J.Biaxial low cycle fatigue fracture of 316 stainless steel at elevated temperatures[Z].London:The Metal Society,1982,280:203-210.
[21]Wang C H,Brown M W.A path-independent parameter for fatigue under proportional and non-proportional loading[J].Fatigue&Fracture of Engineering Materials&Structures,1993,16(12):1285-1297.
[22]Fatemi A,Socie D F.A critical plane approach to multiaxial fatigue damage including out-of-phase loading[J].Fatigue&Fracture of Engineering Materials&Structures,1988,11(3):149-165.
[23]Bannantine J A,Socie D F.A variable amplitude multiaxial fatigue life prediction model[C]//Kussmaul K,Mc Diarmid D,Socie D.Fatigue Under Biaxial and Multiaxial Loading.London:European Structural Integ-rity Society,ESIS Publication 10,Mechanical Engineering Publications,1991:35-51.
[24]Carpinteri A,Ronchei C,Spagnoli A,et al.Lifetime estimation in the low/medium-cycle regime using the Carpinteri-Spagnoli multiaxial fatigue criterion[J].Theoretical&Applied Fracture Mechanics,2014,73:120-127.
[25]Shang D G,Wang D J.A new multiaxial fatigue damage model based on the critical plane approach[J].International Journal of Fatigue,1998,20(3):241-245.
[26]Li J,Zhang Z P,Sun Q,et al.Multiaxial fatigue life prediction for various metallic materials based on the critical plane approach[J].International Journal of Fatigue,2011,33(2):90-101.
[27]赵而年,瞿伟廉.一种新的多轴非比例低周疲劳寿命预测临界面模型[J].力学学报,2016,48(4):944-952.Zhao Ernian,Qu Weilian.A new proposal for multiaxial low-cycle fatigue life prediction under non-proportional loading[J].Chinese Journal of Theoretical and Applied Mechanics,2016,48(4):944-952(in Chinese).
[28]张小元.Q235钢多轴低周疲劳寿命及评估方法研究[D].南宁:广西大学土木建筑工程学院,2013.Zhang Xiaoyuan.Research on Multiaxial Low-cycle Fatigue and Life Evaluation for Q235 Steel[D].Nanning:College of Civil Engineering and Architecture,Guangxi University,2013(in Chinese).
[29]Chen X,Gao Q,Sun X F.Low-cycle fatigue under non-proportional loading[J].Fatigue&Fracture of Engineering Materials&Structures,1996,19(7):839-854.
[30]Skibicki D,Sempruch J.Use of a load nonproportionality measure in fatigue under out-of-phase combined bending and torsion[J].Fatigue&Fracture of Engineering Materials&Structures,2004,27(5):369-377.
[31]Itoh T,Nakata T,Sakane M,et al.Nonproportional low cycle fatigue of 6061 aluminum alloy under 14 strain paths[J].European Structural Integrity Society,1999,25(99):41-54.
[32]赵而年,瞿伟廉,周强.多轴加载条件下结构钢基材及焊接件低周疲劳性能试验研究[J].建筑结构学报,2016,37(12):153-160.Zhao Ernian,Qu Weilian,Zhou Qiang.Low-cycle fatigue experiments of structural steel and its related welded metal under multi-axial loading[J].Journal of Building Structures,2016,37(12):153-160(in Chinese).
[33]Jiang Y,Hertel O,Vormwald M.An experimental evaluation of three critical plane multiaxial fatigue criteria[J].International Journal of Fatigue,2007,29(8):1490-1502.
[2]Han Qinghua,Guo Qi,Yin Yue,et al.Effects of strain ratio on fatigue behavior of G20Mn5QT cast steel[J].Transactions of Tianjin University,2016,22(4):302-307.
[3]余建星,郭帅,余杨,等.裂纹参数对深水海底管道疲劳寿命的影响[J].天津大学学报:自然科学与工程技术版,2016,49(9):889-895.Yu Jianxing,Guo Shuai,Yu Yang,et al.Effects of crack parameter on fatigue life of subsea pipelines[J].Journal of Tianjin University:Science and Technol-ogy,2016,49(9):889-895(in Chinese).
[4]韩庆华,叶菲,徐杰.随机疲劳在土木工程中的研究综述[J].天津大学学报:自然科学与工程技术版,2016,49(增):143-151.Han Qinghua,Ye Fei,Xu Jie.Review of random fatigue research in civil engineering[J].Journal of Tianjin University:Science and Technology,2016,49(Suppl):143-151(in Chinese).
[5]张晨阳,芦燕.复杂应力下H形钢悬臂柱柱脚焊缝热点应力分析[J].建筑钢结构进展,2016,18(6):34-41.Zhang Chenyang,Lu Yan.Hot spot stress analysis of column-base weld in H-shaped cantilever column under complex stresses[J].Progress in Steel Building Structures,2016,18(6):34-41(in Chinese).
[6]崔云,陈刚,王磊,等.多轴非比例载荷下镁合金AZ21的疲劳性能研究[J].天津大学学报:自然科学与工程技术版,2017,50(3):283-289.Cui Yun,Chen Gang,Wang Lei,et al.Fatigue characteristics of Mg Alloy AZ21 under multiaxial nonproportional loading[J].Journal of Tianjin University:Science and Technology,2017,50(3):283-289(in Chinese).
[7]Shamsaei N,Fatemi A.Effect of hardness on multiaxial fatigue behaviour and some simple approximations for steels[J].Fatigue&Fracture of Engineering Materials&Structures,2009,32(8):631-646.
[8]Shamsaei N,Gladskyi M,Panasovskyi K,et al.Multiaxial fatigue of titanium including step loading and load path alteration and sequence effects[J].International Journal of Fatigue,2010,32(11):1862-1874.
[9]You B R,Lee S B.A critical review on multiaxial fatigue assessments of metals[J].International Journal of Fatigue,1996,18(4):235-244.
[10]陈旭,高庆,孙训方,等.非比例载荷下多轴低周疲劳研究最新进展[J].力学进展,1997,27(3):313-325.Chen Xu,Gao Qing,Sun Xunfang,et al.Recent advances of multiaxial low-cycle fatigue under nonproportional loading[J].Advances in Mechanics,1997,27(3):313-325(in Chinese).
[11]Socie D F,Marquis G B.Multiaxial Fatigue[M].Warrendale:Society of Automotive Engineers,2000.
[12]王英玉,姚卫星.材料多轴疲劳破坏准则回顾[J].机械强度,2003,25(3):246-250.Wang Yingyu,Yao Weixing.Reviewon the multiaxial fatigue criteria[J].Journal of Mechanical Strength,2003,25(3):246-250(in Chinese).
[13]Karolczuk A,Macha E.A review of critical plane orientations in multiaxial fatigue failure criteria of metallic materials[J].International Journal of Fracture,2005,134(3/4):267-304.
[14]尚德广,王德俊.多轴疲劳强度[M].北京:科学出版社,2007.Shang Deguang,Wang Dejun.Muitiaxial Fatigue Strength[M].Beijing:Science Press,2007(in Chinese).
[15]Fatemi A,Shamsaei N.Multiaxial fatigue:An overview and some approximation models for life estimation[J].International Journal of Fatigue,2011,33(8):948-958.
[16]?ukasz Pejkowski.On the material's sensitivity to nonproportionality of fatigue loading[J].Archives of Civil&Mechanical Engineering,2017,17(3):711-727.
[17]Ellyin F,Golos K.Multiaxial fatigue damage criterion[J].Journal of Engineering Materials&Technology,1988,110(1):63-68.
[18]Liu,K C.A method based on virtual strain-energy parameters for multiaxial fatigue life prediction[C]//Mc Dowell D L,Ellis R.Advances in Multiaxial Fatigue.West Conshohocken:ASTM STP 1191,American Society for Testing and Materials,1993:67-84.
[19]Brown M W,Miller K J.A theory for fatigue failure under multiaxial stress-strain conditions[J].ARCHIVE Proceedings of the Institution of Mechanical Engineers,1973,187:745-755.
[20]Kandil F A,Brown M W,Miller K J.Biaxial low cycle fatigue fracture of 316 stainless steel at elevated temperatures[Z].London:The Metal Society,1982,280:203-210.
[21]Wang C H,Brown M W.A path-independent parameter for fatigue under proportional and non-proportional loading[J].Fatigue&Fracture of Engineering Materials&Structures,1993,16(12):1285-1297.
[22]Fatemi A,Socie D F.A critical plane approach to multiaxial fatigue damage including out-of-phase loading[J].Fatigue&Fracture of Engineering Materials&Structures,1988,11(3):149-165.
[23]Bannantine J A,Socie D F.A variable amplitude multiaxial fatigue life prediction model[C]//Kussmaul K,Mc Diarmid D,Socie D.Fatigue Under Biaxial and Multiaxial Loading.London:European Structural Integ-rity Society,ESIS Publication 10,Mechanical Engineering Publications,1991:35-51.
[24]Carpinteri A,Ronchei C,Spagnoli A,et al.Lifetime estimation in the low/medium-cycle regime using the Carpinteri-Spagnoli multiaxial fatigue criterion[J].Theoretical&Applied Fracture Mechanics,2014,73:120-127.
[25]Shang D G,Wang D J.A new multiaxial fatigue damage model based on the critical plane approach[J].International Journal of Fatigue,1998,20(3):241-245.
[26]Li J,Zhang Z P,Sun Q,et al.Multiaxial fatigue life prediction for various metallic materials based on the critical plane approach[J].International Journal of Fatigue,2011,33(2):90-101.
[27]赵而年,瞿伟廉.一种新的多轴非比例低周疲劳寿命预测临界面模型[J].力学学报,2016,48(4):944-952.Zhao Ernian,Qu Weilian.A new proposal for multiaxial low-cycle fatigue life prediction under non-proportional loading[J].Chinese Journal of Theoretical and Applied Mechanics,2016,48(4):944-952(in Chinese).
[28]张小元.Q235钢多轴低周疲劳寿命及评估方法研究[D].南宁:广西大学土木建筑工程学院,2013.Zhang Xiaoyuan.Research on Multiaxial Low-cycle Fatigue and Life Evaluation for Q235 Steel[D].Nanning:College of Civil Engineering and Architecture,Guangxi University,2013(in Chinese).
[29]Chen X,Gao Q,Sun X F.Low-cycle fatigue under non-proportional loading[J].Fatigue&Fracture of Engineering Materials&Structures,1996,19(7):839-854.
[30]Skibicki D,Sempruch J.Use of a load nonproportionality measure in fatigue under out-of-phase combined bending and torsion[J].Fatigue&Fracture of Engineering Materials&Structures,2004,27(5):369-377.
[31]Itoh T,Nakata T,Sakane M,et al.Nonproportional low cycle fatigue of 6061 aluminum alloy under 14 strain paths[J].European Structural Integrity Society,1999,25(99):41-54.
[32]赵而年,瞿伟廉,周强.多轴加载条件下结构钢基材及焊接件低周疲劳性能试验研究[J].建筑结构学报,2016,37(12):153-160.Zhao Ernian,Qu Weilian,Zhou Qiang.Low-cycle fatigue experiments of structural steel and its related welded metal under multi-axial loading[J].Journal of Building Structures,2016,37(12):153-160(in Chinese).
[33]Jiang Y,Hertel O,Vormwald M.An experimental evaluation of three critical plane multiaxial fatigue criteria[J].International Journal of Fatigue,2007,29(8):1490-1502.
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