基于临界面法及应变路径多轴疲劳寿命预测模型概述
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摘要
研究国内外多轴低周疲劳寿命评估方法,归纳了基于临界面法及应变路径的多轴疲劳寿命评估模型,比较了其优劣及适用性。目前多轴疲劳寿命的预测主要是针对一种或少量几种材料而提出的经验或半经验的公式,当这些公式用于其他材料时,常常不能得到令人满意的结果。多轴疲劳问题十分复杂,目前的研究主要是在等温、常幅载荷条件下开展,对承受高温、变温、变幅和随机多轴载荷作用下的研究则相对较少。此外,若考虑材料缺口影响、尺寸影响、载荷、表面的粗糙度、残余应力应变等因素,其研究更加复杂,当前对于多轴疲劳的研究热衷于建立寿命预测模型,开展相关疲劳试验,很少深入研究对其微观机理。因此,多轴疲劳问题仍需进一步深入研究。
The article has done some research on multiaxial low cycle fatigue life evaluation methods at home and abroad,summarized multiaxial low cycle fatigue life prediction models based on Critical-Plane method and strain path and analyzed the advantages and disadvantages compared with models and applicability. It has been shown that most of the empirical prediction methods could suitable for only one or few materials so far. When they are applied on other materials,the results are usually disappointing. Meanwhile,the multi-axial fatigue failure of materials are very complicated. The current massive research work was mainly done under constant temperature and load while the studies carried out on high temperature,varying temperature and load are few. If taking notch effect,size effect,surface roughness,residual stress into account,the situation would be even more complicated. Current research on multi axis fatigue is interested in establishing life prediction model,To carry out related fatigue test,Little in-depth study of its micro mechanism The multi-axial fatigue is still a problem needing further studies.
The article has done some research on multiaxial low cycle fatigue life evaluation methods at home and abroad,summarized multiaxial low cycle fatigue life prediction models based on Critical-Plane method and strain path and analyzed the advantages and disadvantages compared with models and applicability. It has been shown that most of the empirical prediction methods could suitable for only one or few materials so far. When they are applied on other materials,the results are usually disappointing. Meanwhile,the multi-axial fatigue failure of materials are very complicated. The current massive research work was mainly done under constant temperature and load while the studies carried out on high temperature,varying temperature and load are few. If taking notch effect,size effect,surface roughness,residual stress into account,the situation would be even more complicated. Current research on multi axis fatigue is interested in establishing life prediction model,To carry out related fatigue test,Little in-depth study of its micro mechanism The multi-axial fatigue is still a problem needing further studies.
引文
[1]Lanza G.Strength of Shafting Subjected to Both Twisting and Bending[J].Trans ASME,1886(8):121-196.
[2]Gough H J,Pollard H V.The Strength of Metals under Combined Alternating Stresses[J].Proceedings of the Institution of Mechanical Engineers,1935,131(1):3-103.
[3]Gough H J.Engineering Steels under Combined Cyclic and Static Stresses[J].ARCHIVE:Proceedings of the Institution of Mechanical Engineers 1847-1982(vols 1-196),1949(160):417-440.
[4]Marin J.Interpretation of Fatigue Strength for Combined Stresses[J].Proceedings of international conference fatigue metals,1956:184-192.
[5]Findley W N.A Theory for the Effect of Mean Stress on Fatigue of Metals under Combined Torsion and Axial Load or Bending[M].Engineering Materials Research Laboratory,Division of Engineering,Brown University,1958.
[6]Sines G.Behavior of Metals under Complex Static and Alternating Stresses[J].Metal fatigue,1959(1):145-169.
[7]Manson S.S.Behavior of Materials under Conditions of Thermal Stress.[J].Metal fatigue,1954:17-28:
[8]Coffin Jr L.F.A Study of the Effects of Cyclic Thermal Stresses on a Ductile Metal[J].Trans ASME,1954,76:931-950.
[9]Miller K J,Brown M W.A Theory for Fatigue Failure under Multiaxial Stress-Strain Conditions[J].Proceedings of the Institution of Mechanical Engineers,1973,187(1):745-755.
[10]Kanazawa K.,Miller K.,Brown M.Cyclic Deformation of 1%CrMo-V Steel under out-of-Phase Loads[J].Fatigue&Fracture of Engineering Materials&Structures,1979,2(2):217-228.
[11]Itoh T.,Sakane M.,Socie D.F.,et al.Nonproportional Low Cycle Fatigue Criterion for Type 304 Stainless Steel[J].Journal of Engineering Materials and Technology,1995,117(3):285-292.
[12]肖林,白菊丽.Zr-4合金双轴疲劳行为及其微观变形机理Ⅰ.双轴疲劳变形行为[J].金属学报,2000,36(9):913-918.XIAO Lin,BAI JuLi,Zr-4 Biaxial fatigue behavior and microscopic deformation mechanism of the alloyⅠ.biaxial fatigue deformation behavior[J].Acta Metallurgica Sinica,2000,36(9):913-918(In Chinese).
[13]于良,白菊丽,肖林.Zr-4合金双轴加载中的非比例附加软化与附加强化[J].西安交通大学学报,2004,38(3):299-302.YU Liang,BAI Ju Li,XIAO Lin,Zr-4 Non proportional additional softening and additional strengthening of alloy under biaxial loading[J].Journal of Xi'an Jiaotong University,2004,38(3):299-302(In Chinese).
[14]何国求,陈成澍,高庆,等.基于微结构分析定义应变路径非比例度[J].金属学报,2003,39(7):715-720.HE GuoQiu,CHEN ChengShu,GAO Qing,et al.Based on the micro structure analysis,the non proportional degree of strain path is defined[J].Acta Metallurgica Sinica,2003,39(7):715-720(In Chinese).
[15]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.
[16]Fash J.W.,Socie D.F.,Mc Dowell D.L.Fatigue Life Estimates for a Simple Notched Component under Biaxial Loading[J].Multiaxial Fatigue,1985:497-513.
[17]尚德广,王德俊.多轴疲劳强度[M].北京:科学出版社,2007:107-112.SHANG De Guang,WANG De Ju.Multi axis fatigue strength[M].Beijing:Science Press,2007(In Chinese).
[18]Lohr R.,Ellison E.A Simple Theory for Low Cycle Multiaxial Fatigue[J].Fatigue&Fracture Of Engineering Materials&Structures,1980,3(1):1-17.
[19]Kandil F.,Brown M.,Miller K.Biaxial Low-Cycle Fatigue Fracture of316 Stainless Steel at Elevated Temperatures.London;The Metals Society.1982.
[20]陈旭,许爽燕.多轴低周疲劳研究现状[J].压力容器,1997,14(3):238-241.CHEN Xu,XU ShuangYan.Research status of multi axial low cycle fatigue[J].Pressure Vessel,1997,14(3):238-241(In Chinese).
[21]Wang C.,Brown M.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]De-Guang S.,De-Jun W.A New Multiaxial Fatigue Damage Model Based on the Critical Plane Approach[J].International Journal of Fatigue,1998,20(3):241-245.
[23]尚德广,姚卫星.基于临界面法的多轴疲劳损伤参量的研究[J].航空学报,1999,20(4):295-298.SHANG De Guang,YAO Wei Xing.Study on multi axis fatigue damage parameters based on critical plane method[J].Acta Aeronautica Et Astronautica Sinica,1999,20(4):295-298(In Chinese).
[24]尚德广,王德俊.一种统一的多轴疲劳损伤参量[J].固体力学学报,1999,20(3):201-210.SHANG De Guang,WANG De Jun.Unified multi axis fatigue damage parameter[J].Acta Mechanica Solida Sinica,1999,20(3):201-210(In Chinese).
[25]吴志荣,胡绪腾,宋迎东.基于最大切应变幅和修正Swt参数的多轴疲劳寿命预测模型[J].机械工程学报,2013,49(2):59-66.WU ZhiRong,HU Xu Teng,SONG Ying Dong.Multi axis fatigue life prediction model based on maximum shear strain amplitude and modified Swt parameters[J].Journal of Mechanical Engineering,2013,49(2):59-66(In Chinese).
[26]Wu Z R.,Hu X T.,Song Y D.Multiaxial Fatigue Life Prediction for Titanium Alloy Tc4 under Proportional and Nonproportional Loading[J].International Journal of Fatigue,2014,59:170-175.
[27]Xu Chen,Shuangyan Xu,Daxiang Huang,Critical Plane-Strain Energy Density Criterion of Multiaxial Low-Cycle Fatigue Life under Non-proportional Loading,Fatigue&Fracture of Engineering Materials and Structures,1999,Vol.22,p.679-686。
[28]Borodii M.,Shukaev S.Additional Cyclic Strain Hardening and Its Relation to Material Structure,Mechanical Characteristics,and Lifetime[J].International Journal of Fatigue,2007,29(6):1184-1191.
[29]Liu Y.,Mahadevan S.Strain-Based Multiaxial Fatigue Damage Modelling[J].Fatigue&fracture of engineering materials&structures,2005,28(12):1177-1189.
[30]Socie D.,Shield T.Mean Stress Effects in Biaxial Fatigue of Inconel718[J].Journal of Engineering Materials and Technology,1984,106(3):227-232.
[31]Xu Chen,Qin Gao,Xun-Fang Sun,Low-cycle fatigue under nonproportional loading,Fatigue&Fracture of Engineering Materials and Structures,1996,Vol.19(7),p.839-854.
[32]Borodii M.,Strizhalo V.Analysis of the Experimental Data on a Low Cycle Fatigue under Nonproportional Straining[J].International Journal of Fatigue,2000,22(4):275-282.
[33]Li J.,Zhang Z.-p.,Sun Q.,et al.A New Multiaxial Fatigue Damage Model for Various Metallic Materials under the Combination of Tension and Torsion Loadings[J].International Journal of Fatigue,2009,31(4):776-781.
[34]李静,孙强,乔艳江,等.基于临界平面法的拉扭双轴疲劳寿命估算模型[J].固体力学学报,2010,31(1):101-106.LI Jing,SUN Qiang,QIAO Yan Jiang,et al.Estimation model of biaxial fatigue life of tension and torsion based on critical plane method[J].Acta Mechanica Solida Sinica,2010,31(1):101-106.(In Chinese)
[35]Mc Dowell D.An Experimental Study of the Structure of Constitutive Equations for Nonproportional Cyclic Plasticity[J].Journal of Engineering Materials and Technology,1985,107(4):307-315.
[36]Ellyin F.,Xia Z.A General Fatigue Theory and Its Application to out-of-Phase Cyclic Loading[J].Journal of Engineering Materials and Technology,1993,115(4):411-416.
[37]陈家权,陈国军,温洁明.考虑应变路径的多轴低周疲劳寿命预测模型[J].工程力学,2012(4):016.CHEN Jia Quan,CHEN GuoJun,WEN Jie Ming.Prediction model of multi axial low cycle fatigue life considering strain path[J].engineering mechanics,2012(4):016(In Chinese).
[38]于海生,舒卡耶夫.一种多轴非比例载荷低周疲劳寿命预测方法[J].机械强度,2004,26(1):250-253.YU Hai Sheng,Shukayehu.Multi axis non proportional load low cycle fatigue life prediction method[J].Journal of Mechanical Strength,2004,26(1):250-253(In Chinese).
[39]Itoh T,Yang T.Material Dependence of Multiaxial Low Cycle Fatigue Lives under Non-Proportional Loading[J].International Journal of Fatigue,2011,33(8):1025-1031.
[2]Gough H J,Pollard H V.The Strength of Metals under Combined Alternating Stresses[J].Proceedings of the Institution of Mechanical Engineers,1935,131(1):3-103.
[3]Gough H J.Engineering Steels under Combined Cyclic and Static Stresses[J].ARCHIVE:Proceedings of the Institution of Mechanical Engineers 1847-1982(vols 1-196),1949(160):417-440.
[4]Marin J.Interpretation of Fatigue Strength for Combined Stresses[J].Proceedings of international conference fatigue metals,1956:184-192.
[5]Findley W N.A Theory for the Effect of Mean Stress on Fatigue of Metals under Combined Torsion and Axial Load or Bending[M].Engineering Materials Research Laboratory,Division of Engineering,Brown University,1958.
[6]Sines G.Behavior of Metals under Complex Static and Alternating Stresses[J].Metal fatigue,1959(1):145-169.
[7]Manson S.S.Behavior of Materials under Conditions of Thermal Stress.[J].Metal fatigue,1954:17-28:
[8]Coffin Jr L.F.A Study of the Effects of Cyclic Thermal Stresses on a Ductile Metal[J].Trans ASME,1954,76:931-950.
[9]Miller K J,Brown M W.A Theory for Fatigue Failure under Multiaxial Stress-Strain Conditions[J].Proceedings of the Institution of Mechanical Engineers,1973,187(1):745-755.
[10]Kanazawa K.,Miller K.,Brown M.Cyclic Deformation of 1%CrMo-V Steel under out-of-Phase Loads[J].Fatigue&Fracture of Engineering Materials&Structures,1979,2(2):217-228.
[11]Itoh T.,Sakane M.,Socie D.F.,et al.Nonproportional Low Cycle Fatigue Criterion for Type 304 Stainless Steel[J].Journal of Engineering Materials and Technology,1995,117(3):285-292.
[12]肖林,白菊丽.Zr-4合金双轴疲劳行为及其微观变形机理Ⅰ.双轴疲劳变形行为[J].金属学报,2000,36(9):913-918.XIAO Lin,BAI JuLi,Zr-4 Biaxial fatigue behavior and microscopic deformation mechanism of the alloyⅠ.biaxial fatigue deformation behavior[J].Acta Metallurgica Sinica,2000,36(9):913-918(In Chinese).
[13]于良,白菊丽,肖林.Zr-4合金双轴加载中的非比例附加软化与附加强化[J].西安交通大学学报,2004,38(3):299-302.YU Liang,BAI Ju Li,XIAO Lin,Zr-4 Non proportional additional softening and additional strengthening of alloy under biaxial loading[J].Journal of Xi'an Jiaotong University,2004,38(3):299-302(In Chinese).
[14]何国求,陈成澍,高庆,等.基于微结构分析定义应变路径非比例度[J].金属学报,2003,39(7):715-720.HE GuoQiu,CHEN ChengShu,GAO Qing,et al.Based on the micro structure analysis,the non proportional degree of strain path is defined[J].Acta Metallurgica Sinica,2003,39(7):715-720(In Chinese).
[15]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.
[16]Fash J.W.,Socie D.F.,Mc Dowell D.L.Fatigue Life Estimates for a Simple Notched Component under Biaxial Loading[J].Multiaxial Fatigue,1985:497-513.
[17]尚德广,王德俊.多轴疲劳强度[M].北京:科学出版社,2007:107-112.SHANG De Guang,WANG De Ju.Multi axis fatigue strength[M].Beijing:Science Press,2007(In Chinese).
[18]Lohr R.,Ellison E.A Simple Theory for Low Cycle Multiaxial Fatigue[J].Fatigue&Fracture Of Engineering Materials&Structures,1980,3(1):1-17.
[19]Kandil F.,Brown M.,Miller K.Biaxial Low-Cycle Fatigue Fracture of316 Stainless Steel at Elevated Temperatures.London;The Metals Society.1982.
[20]陈旭,许爽燕.多轴低周疲劳研究现状[J].压力容器,1997,14(3):238-241.CHEN Xu,XU ShuangYan.Research status of multi axial low cycle fatigue[J].Pressure Vessel,1997,14(3):238-241(In Chinese).
[21]Wang C.,Brown M.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]De-Guang S.,De-Jun W.A New Multiaxial Fatigue Damage Model Based on the Critical Plane Approach[J].International Journal of Fatigue,1998,20(3):241-245.
[23]尚德广,姚卫星.基于临界面法的多轴疲劳损伤参量的研究[J].航空学报,1999,20(4):295-298.SHANG De Guang,YAO Wei Xing.Study on multi axis fatigue damage parameters based on critical plane method[J].Acta Aeronautica Et Astronautica Sinica,1999,20(4):295-298(In Chinese).
[24]尚德广,王德俊.一种统一的多轴疲劳损伤参量[J].固体力学学报,1999,20(3):201-210.SHANG De Guang,WANG De Jun.Unified multi axis fatigue damage parameter[J].Acta Mechanica Solida Sinica,1999,20(3):201-210(In Chinese).
[25]吴志荣,胡绪腾,宋迎东.基于最大切应变幅和修正Swt参数的多轴疲劳寿命预测模型[J].机械工程学报,2013,49(2):59-66.WU ZhiRong,HU Xu Teng,SONG Ying Dong.Multi axis fatigue life prediction model based on maximum shear strain amplitude and modified Swt parameters[J].Journal of Mechanical Engineering,2013,49(2):59-66(In Chinese).
[26]Wu Z R.,Hu X T.,Song Y D.Multiaxial Fatigue Life Prediction for Titanium Alloy Tc4 under Proportional and Nonproportional Loading[J].International Journal of Fatigue,2014,59:170-175.
[27]Xu Chen,Shuangyan Xu,Daxiang Huang,Critical Plane-Strain Energy Density Criterion of Multiaxial Low-Cycle Fatigue Life under Non-proportional Loading,Fatigue&Fracture of Engineering Materials and Structures,1999,Vol.22,p.679-686。
[28]Borodii M.,Shukaev S.Additional Cyclic Strain Hardening and Its Relation to Material Structure,Mechanical Characteristics,and Lifetime[J].International Journal of Fatigue,2007,29(6):1184-1191.
[29]Liu Y.,Mahadevan S.Strain-Based Multiaxial Fatigue Damage Modelling[J].Fatigue&fracture of engineering materials&structures,2005,28(12):1177-1189.
[30]Socie D.,Shield T.Mean Stress Effects in Biaxial Fatigue of Inconel718[J].Journal of Engineering Materials and Technology,1984,106(3):227-232.
[31]Xu Chen,Qin Gao,Xun-Fang Sun,Low-cycle fatigue under nonproportional loading,Fatigue&Fracture of Engineering Materials and Structures,1996,Vol.19(7),p.839-854.
[32]Borodii M.,Strizhalo V.Analysis of the Experimental Data on a Low Cycle Fatigue under Nonproportional Straining[J].International Journal of Fatigue,2000,22(4):275-282.
[33]Li J.,Zhang Z.-p.,Sun Q.,et al.A New Multiaxial Fatigue Damage Model for Various Metallic Materials under the Combination of Tension and Torsion Loadings[J].International Journal of Fatigue,2009,31(4):776-781.
[34]李静,孙强,乔艳江,等.基于临界平面法的拉扭双轴疲劳寿命估算模型[J].固体力学学报,2010,31(1):101-106.LI Jing,SUN Qiang,QIAO Yan Jiang,et al.Estimation model of biaxial fatigue life of tension and torsion based on critical plane method[J].Acta Mechanica Solida Sinica,2010,31(1):101-106.(In Chinese)
[35]Mc Dowell D.An Experimental Study of the Structure of Constitutive Equations for Nonproportional Cyclic Plasticity[J].Journal of Engineering Materials and Technology,1985,107(4):307-315.
[36]Ellyin F.,Xia Z.A General Fatigue Theory and Its Application to out-of-Phase Cyclic Loading[J].Journal of Engineering Materials and Technology,1993,115(4):411-416.
[37]陈家权,陈国军,温洁明.考虑应变路径的多轴低周疲劳寿命预测模型[J].工程力学,2012(4):016.CHEN Jia Quan,CHEN GuoJun,WEN Jie Ming.Prediction model of multi axial low cycle fatigue life considering strain path[J].engineering mechanics,2012(4):016(In Chinese).
[38]于海生,舒卡耶夫.一种多轴非比例载荷低周疲劳寿命预测方法[J].机械强度,2004,26(1):250-253.YU Hai Sheng,Shukayehu.Multi axis non proportional load low cycle fatigue life prediction method[J].Journal of Mechanical Strength,2004,26(1):250-253(In Chinese).
[39]Itoh T,Yang T.Material Dependence of Multiaxial Low Cycle Fatigue Lives under Non-Proportional Loading[J].International Journal of Fatigue,2011,33(8):1025-1031.