Overview of Fatigue Research of Spot Welded Joints

doi:10.3901/JME.2020.14.026

Abstract

Abstract: The research on fatigue of spot welded joints in recent decades is summarized comprehensively. The achievements of research on fatigue of the spot welded joints are described systematically from 4 aspects, including numerical analysis, experimental analysis, finite element analysis, and fatigue assessment methods. The numerical analysis methods of spot welding such as static theory, local stress, structural stress and fracture mechanics are summarized. The failure mode, failure mechanism and fatigue life of spot welded joints are studied by test methods such as static test, tensile-shear fatigue test, peel test and notch test. The characteristics, modeling methods and applicable scopes of 8 kinds of finite element models of spot welding joints are compared and summarized, and the C_WELD model and C_BAR mode are considered to be suitable for large spot welding structures. The applicable conditions, applicable objects, and evaluation effect of various fatigue assessment methods for spot welded joints such as load-life method, nominal stress method, hot spot stress method, and equivalent structural stress method are summarized, and it is believed that the equivalent structural stress method is worthy of popularization and application in the field of engineering. Finally, the existing problems and further research directions are reviewed and discussed, which would provide some guidance and assistance for further research on fatigue of spot welded joints.

Key words: spot welded joints, fatigue assessment, numerical analysis, experimental analysis, finite element analysis

CLC Number:

TG405

YANG Long, YANG Bing, YANG Guangwu, XIAO Shoune, ZHU Tao. Overview of Fatigue Research of Spot Welded Joints[J]. Journal of Mechanical Engineering, 2020, 56(14): 26-43.

References

[1] 姚亚涛. 不锈钢点焊车体结构仿真关键技术研究[D]. 成都:西南交通大学, 2016. YAO Yatao. Research on key technologies for structural simulation of stainless steel spot welded car body[D]. Chengdu:Southwest Jiaotong University, 2016.
[2] CHU Q, LI W Y, HOU H L, et al. On the double-side probeless friction stir spot welding of AA2198 Al-Li alloy[J]. Journal of Materials Science & Technology, 2019, 35(5):784-789.
[3] CHANG B H, LI M V, ZHOU Y. Comparative study of small scale and ‘large scale’ resistance spot welding[J]. Science & Technology of Welding & Joining, 2001, 6(5):273-280.
[4] ZHOU Y, REICHERT C, ELY K J. On ‘joining applications in electronics and medical devices’[C]//Edison Welding Institute, September 1998, Columbus, OH, 1998:79-90.
[5] 王敏. 电阻焊在汽车工业中的应用[J]. 电焊机, 2003, 1(1):1-6. WANG Min. Application of resistance welding in automobile industry[J]. Electric Welding Machine, 2003, 1(1):1-6.
[6] Resistance Welder Manufacturers' Association. Resistance welding manual[M]. 4th ed. Philadelphia:Resistance Welder Manufacturers' Association, 1989.
[7] 宇慧平, 王伟伟, 李晓阳, 等. 超高强钢点焊结构拉剪试验及数值仿真[J]. 焊接学报, 2013, 34(10):9-12. YU Huiping, WANG Weiwei, LI Xiaoyang, et al. Tensile shear test and numerical simulation of spot welded structure of ultra high strength steel[J]. Journal of Welding, 2013, 34(10):9-12.
[8] 张家菊, 张玉萍. 汽车车身电阻点焊焊点强度影响因素的分析[J]. 焊接技术, 1995, 1(5):8-11. ZHANG Jiaju, ZHANG Yuping. Analysis of the factors affecting the strength of welding spots of automotive body resistance spot welding[J]. Welding Technology, 1995, 1(5):8-11.
[9] 王峰. 点、环焊接头等效应力方法研究[D]. 成都:西南交通大学, 2018. WANG Feng. Research on equivalent stress method of spot and girth welded joints[D]. Chengdu:Southwest Jiaotong University, 2018.
[10] 袁少波, 童彦刚. 点焊技术在汽车工业中的应用[J]. 电焊机, 2005, 1(2):26-30. YUAN Shaobo, TONG Yangang. Application of spot welding technology in automobile industry[J]. Electric Welder, 2005, 1(2):26-30.
[11] WU G H, LI D Y, SU X M, et al. Experiment and modeling on fatigue of the DP780GI spot welded joint[J]. International Journal of Fatigue, 2017, 103:73-85.
[12] 王艳俊. 轻量化汽车车身铝合金的电阻点焊研究[D].南昌:南昌大学, 2017. WANG Yanjun. Research on resistance spot welding of lightweight automotive body aluminum alloy[D]. Nanchang:Nanchang University, 2017.
[13] YAO Y X, SHI C Y. Fussy assessment of fatigue strength of spot-welded structures[J]. Advanced Materials Research, 2012, 562-564:2030-2033.
[14] 王长征. 基于DRC法的电阻点焊协同控制[D]. 长春:吉林大学, 2004. WANG Changzheng. Cooperative control of resistance spot welding based on DRC method[D]. Changchun:Jilin University, 2004.
[15] RADAJ D. 焊接结构疲劳强度[M]. 北京:机械工业出版社, 1994. RADAJ D. Fatigue strength of welded structures[M]. Beijing:China Machine Press, 1994.
[16] 王瑞杰, 尚德广, 沈通, 等. 点焊接头疲劳寿命预测研究进展[J]. 力学与实践, 2006, 1(3):9-14. WANG Ruijie, SHANG Deguang, SHEN Tong, et al. Research progress on fatigue life prediction of spot welded joints[J]. Mechanics and Practice, 2006, 1(3):9-14.
[17] RADAJ D, SONSION C M, FRICKE W. Fatigue assessment of welded joints by local approaches[M]. Cambridge:Woodhead Publishing Limited, 2006.
[18] RADAJ D. Vollständige Bestimmung der Kräfte am Schweißpunkt[J]. Ing-Archiv, 1990, 60:389-398. RADAJ D. Complete determination of the forces at the welding point[J]. Ing-Archiv, 1990, 60:389-398.
[19] RADAJ D. Theory of forces and stresses in spot-welded overlap joints[J]. Archive Appl. Mech., 1996, 67:2-34.
[20] RADAJ D, ZHANG S. Anschauliche Grundlagen für Kräfte und Spannungen in punktgeschweißten Überlappver-bindungen[J]. Konstruktion, 1996, 48:65-71. RADAJ D, ZHANG S. Clear basics for forces and tensions in spot welded overlap connections[J]. Construction, 1996, 48:65-71.
[21] RADAJ D, ZHANG S. Strukturspannungen am starren Kern in endlich berandeter Platte[J]. Konstruktion, 1996, 48:195-199. RADAJ D, ZHANG S. Structural stresses on the rigid core in a finally bordered plate[J]. Construction, 1996, 48:195-199.
[22] RADAJ D, ZHANG S. Weld spot force evaluation with dented sheet material[J]. Engng. Fract. Mech., 1998, 61:673-678.
[23] RADAJ D. Stress singularity, notch stress and structural stress at spot-welded joints[J]. Engineering Fracture Mecha-nics, 1989, 34(2):495-506.
[24] RADAJ D, ZHANG S. Geometrically nonlinear behaviour or spot welded joints in tensile and compr-essive shear loading[J]. Engineering Fracture Mechanics, 1995, 51(2):281-294.
[25] WAGARE V. Fatigue life prediction of spot welded joints:A review[J]. Proceedings of Fatigure, Durability and Fracture Mechanics, 2018, 36:445-455.
[26] HOU Z, WANG Y, LI C, et al. An analysis of resistance spot welding[J]. Welding Journal, 2006, 85(3):36-40.
[27] ADIB H. Fatigue life duration prediction for welded spots by volumetric method[J]. International Journal of Fatigue, 2004, 26(1):81-94.
[28] SOCIE D F. Fatigue life prediction using local stress-strain concepts[J]. Experimental Mechanics, 1977, 17(2):50-56.
[29] RADAJ D. Nominal structural stress for common spot welded specimens[J]. Construction, 1989, 41(81):255-259.
[30] MADDOX S J. Fatigue design of welded structures[J]. International Journal of Fatigue, 1994, 16(2):155.
[31] SHEPPARD S D. Estimation of fatigue propagation life in resistance spot welds[J]. Advances in Fatigue Predictive Techniques, 1993, 2:169-185.
[32] RUPP A, GRUBISIC V, BUXBAUM O. Ermittlung ertragbarer Beanspruchungen am Schweiß punkt auf Basis der übertragenen Schnittgrößen[J]. FEA Schrift-enreihe, 1994, 111:235-244. RUPP A, GRUBISIC V, BUXBAUM O. Determination of tolerable stresses at the welding point based on the transferred internal forces[J]. FEA series, 1994, 111:235-244.
[33] RUPP A, KLAUS S, GRUBISIC V. Computer aided dimensioning of spot-welded automotive structures[C]//International Congress & Exposition, 1995.
[34] COOK R D. Roark's formulas for stress & strain[M]. 6th ed. New York:McGraw-Hill, 1989.
[35] KANG H, BARKEY M E, LEE Y. Evaluation of multiaxial spot weld fatigue parameters for proportional loading[J]. International Journal of Fatigue, 2000, 22(8):691-702.
[36] DONG P. A structural stress definition and numerical implementation for fatigue analysis of welded joints[J]. International Journal of Fatigue, 2001, 23(10):865-876.
[37] 闫坤. 基于结构应力的拉剪点焊接头疲劳强度分析[D].昆明:昆明理工大学, 2015. YAN Kun. Fatigue strength analysis of tensile-shear spot welded joints based on structural stress[D]. Kunming:Kunming University of Science and Technology, 2015.
[38] 吴骁. 钢材点焊接头疲劳测试与寿命预测方法研究[D].重庆:重庆大学, 2016. WU Xiao. Research on fatigue test and life prediction method of steel spot welding joints[D]. Chongqing:Chongqing University, 2016.
[39] TADA H, PARIS P, IRWIN G. The stress analysis of cracks handbook[M]. 3th ed. New York:Del Research Corporation, 1985.
[40] BROEK D. Elementary engineering fracture mechanics[M]. London:Martinus Nijhoff Publishers, 1982.
[41] SWELLAM M H, KURATH P, LAWRENCE F V. Electric-potential-drop studies of fatigue crack develop-ment in tensile-shear spot welds[J]. International Journal of Fatigue, 1993, 15(1):383-401.
[42] SWELLAM M H, BANAS G, LAWRENCE F V. A fatigue design parameter for spot welds[J]. Fatigue & Fracture of Engineering Materials & Structures, 2010, 17(10):1197-1204.
[43] SWELLAM M H, LAWRENCE F V. A fatigue design parameter for spot welds[J]. International Journal of Fatigue, 1993, 15(3):251-251.
[44] SHEPPARD S D. Further refinement of a methodology for fatigue life estimation in resistance spot weld connections[J]. Investigational New Drugs, 1996, 14(3):257-263.
[45] RADAJ D, ZHANG S. Stress intensity factors for spot welds between plates of unequal thickness[J]. Engine-ering Fracture Mechanics, 1991, 39(2):391-413.
[46] RADAJ D, ZHANG S. Stress intensity factors for spot welds between plates of dissimilar materials[J]. Engine-ering Fracture Mechanics, 1992, 42(3):407-426.
[47] RADAJ D, ZHANG S. Simplified formulae for stress intensity factors of spot welds[J]. Engineering Fracture Mechanics, 1991, 40(1):233-236.
[48] MARASHI S P H, POURANVARI M, SALEHI M, et al. Overload failure behaviour of dissimilar thickness resistance spot welds during tensile shear test[J]. Materials Science and Technology, 2010, 26(10):1220-1225.
[49] POURANVARI M. MARASHI S P H. Key factors influencing mechanical performance of dual phase steel resistance spot welds[J]. Science and Technology of Welding and Joining, 2010, 15(2):149-155.
[50] SUN X, STEPHENS E V, KHALEEL M A. Effects of fusion zone size and failure mode on peak load and energy absorption of advanced high strength steel spot welds under lap shear loading conditions[J]. Engineering Failure Analysis, 2008, 15(4):356-367.
[51] 张小云. 双相钢点焊熔核界面撕裂失效机理与控制方法研究[D]. 上海:上海交通大学, 2008. ZHANG Xiaoyun. Study on the tear failure mechanism and control method of spot nugget interface in dual phase steel[D]. Shanghai:Shanghai Jiao Tong University, 2008.
[52] ZHANG H, WEI A, QIU X, et al. Microstructure and mechanical properties of resistance spot welded dissimilar thickness DP780/DP600 dual-phase steel joints[J]. Materials & Design, 2014, 54:443-449.
[53] 石燕栋. 铝合金点焊接头疲劳性能与寿命预测方法研究[D]. 南京:南京航空航天大学, 2013. SHI Yandong. Study on fatigue performance and life prediction method of aluminum alloy spot welded joints[D]. Nanjing:Nanjing University of Aeronautics and Astronautics, 2013.
[54] SUN X, STEPHENS E, DAVIES R, et al. Effects of failure modes on strength of aluminum resistance spot welds[C]//SAE 2005 World Congress & Exhibition. Detroit, Michigan, 2005.
[55] SUN X, STEPHENS E, KHALEEL M. Effects of fusion zone size on failure modes and performance of advanced high strength steel spot welds[C]//SAE 2006 World Congress & Exhibition. Detroit, Michigan, 2006.
[56] BARKEY M E, KANG H. Testing of spot welded coupons in combined tension and shear[J]. Experimental Techniques, 1999, 23(5):20-22.
[57] LONG X, KHANNA S K. Fatigue properties and failure characterization of spot welded high strength steel sheet[J]. International Journal of Fatigue, 2007, 29(5):879-886.
[58] LONG X, KHANNA S K. Fatigue performance of spot welded and weld bonded advanced high strength steel sheets[J]. Science and Technology of Welding and Joining, 2008, 13(3):241-247.
[59] LIN S H, PAN J, WUNG P, et al. A fatigue crack growth model for spot welds under cyclic loading conditions[J]. International Journal of Fatigue, 2006, 28(7):792-803.
[60] WANG B, DUAN Q Q, YAO G, et al. Fatigue fracture behaviour of spot welded B1500HS steel under tensile-shear load[J]. Fatigue & Fracture of Engineering Materials & Structures, 2015, 38(8):914-922.
[61] RADAKOVIC D J, TUMULURU M. Predicting resistance spot weld failure modes in shear tension tests of advanced high-strength automotive steels[J]. Welding Journal, 2008, 87(4):96-105.
[62] 王瑞杰, 尚德广, 刘泓滨. 两级加载下两焊点拉剪点焊接头的损伤[J]. 焊接学报, 2010, 31(12):77-80. WANG Ruijie, SHANG Deguang, LIU Hongbin. Damage of tension-shear spot welded joints of two solder joints under two-stage loading[J]. Journal of Welding, 2010, 31(12):77-80.
[63] 王瑞杰, 徐晓东, 刘泓滨. 基于固有频率的两级加载下拉剪点焊结构疲劳损伤分析[J]. 机械科学与技术, 2010, 29(9):1193-1197. WANG Ruijie, XU Xiaodong, LIU Hongbin. Fatigue damage analysis of spot welded structure with two-stage loading down-shearing based on natural frequency[J]. Mechanical Science and Technology, 2010, 29(9):1193-1197.
[64] 杨轶宁. 基于BP神经网络的点焊接头疲劳寿命预测研究[D]. 昆明:昆明理工大学, 2016. YANG Yining. Study on fatigue life prediction of spot welded joints based on BP neural network[D]. Kunming:Kunming University of Science and Technology, 2016.
[65] LIU W, FAN H, GUO X Z, et al. Mechanical properties of resistance spot welded components of high strength austenitic stainless steel[J]. Journal of Materials Science & Technology, 2015, 32(6):561-565.
[66] ESMAEILI F, RAHMANI A, BARZEGAR S, et al. Prediction of fatigue life for multi-spot welded joints with different arrangements using different multiaxial fatigue criteria[J]. Materials & Design, 2015, 72:21-30.
[67] PAN N, SHEPPARD S. Spot welds fatigue life prediction with cyclic strain range[J]. International Journal of Fatigue, 2002, 24(5):519-528.
[68] UWABA T, YANO Y, ITO M. Resistance spot weldability of 11Cr-ferritic/martensitic steel sheets[J]. Journal of Nuclear Materials, 2012, 421(1-3):132-139.
[69] 韩长录. 超高强钢点焊残余应力的测试与数值分析[D].北京:北京工业大学, 2014. HAN Changlu. Test and numerical analysis of residual stress in spot welding of ultra high strength steel[D]. Beijing:Beijing University of Technology, 2014.
[70] 黄志宏, 许彦强. 不锈钢车体结构设计及仿真分析要点[J]. 铁道车辆, 2012, 50(6):14-17. HUANG Zhihong, XU Yanqiang. Key points of struc-tural design and simulation analysis of stainless steel car body[J]. Railway Vehicles, 2012, 50(6):14-17.
[71] ADIB H. Fatigue life duration prediction for welded spots by volumetric method[J]. International Journal of Fatigue, 2004, 26(1):81-94.
[72] XU S, DENG X. An evaluation of simplified finite element models for spot-welded joints[J]. Finite Elements in Analysis and Design, 2004, 40(9-11):1175-1194.
[73] PALMONELLA M, FRISWELL M I, MOTTERSHEAD J E, et al. Guidelines for the implementation of the CWELD and ACM2 spot weld models in structural dynamics[J]. Finite Elements in Analysis and Design, 2004, 41(2):193-210.
[74] NAZRI N A, SANI M S M. Finite element normal mode analysis of resistance welding jointed of dissimilar plate hat structure[J]. Iop Conference Series:Materials Science and Engineering, 2017, 257:012059.
[75] 杨明海. 改善焊接结构疲劳性能新技术[J]. 企业科技与发展, 2009, 1(9):15. YANG Minghai. New technology for improving fatigue performance of welded structures[J]. Enterprise Technology and Development, 2009, 1(9):15.
[76] LEE Y L, PAN J, HATHAWAY R B, 等. 疲劳试验测试分析理论与实践[M].北京:机械工业出版社, 2011. LEE Y L, PAN J, HATHAWAY R B, et al. Fatigue testing and analysis theory and practice[M]. Beijing:China Machine Press, 2011.
[77] POLLARD B. Fatigue strength of spot welds in Titanium-bearing Hsla steels[C]//SAE International SAE International Congress and Exposition, SAE Technical Paper Series, 1982, 1.
[78] LIN S H, PAN J, WUNG P, et al. A fatigue crack growth model for spot welds under cyclic loading conditions[J]. International Journal of Fatigue, 2006, 28(7):792-803.
[79] 吴冰. 不锈钢焊接接头疲劳失效评定方法研究[D]. 天津:天津大学, 2004. WU Bing. Research on fatigue failure assessment methods for stainless steel welded joints[D]. Tianjin:Tianjin University, 2004.
[80] ZAMZAMI I A, SUSMEL L. On the accuracy of nominal, structural, and local stress based approaches in designing aluminium welded joints against fatigue[J]. International Journal of Fatigue, 2017, 101(2):137-158.
[81] 周张义, 李芾, 卜继玲. 基于名义应力的焊接结构疲劳强度评定方法研究[J]. 内燃机车, 2007, 1(7):1-4. ZHOU Zhangyi, LI Fu, BU Jiling. Research on fatigue strength assessment method of welded structure based on nominal stress[J]. Diesel Locomotive, 2007, 1(7):1-4.
[82] LEE Y L, LU M W. Fatigue-reliability analysis of resistance spot-welds[C]//Reliability and Maintainability Symposium, 1994.
[83] 李娟. 镁/铝合金焊接接头疲劳评定的热点应力法研究[D]. 太原:太原理工大学, 2011. LI Juan. Research on hot spot stress method for fatigue evaluation of magnesium/aluminum alloy welded joints[D]. Taiyuan:Taiyuan University of Technology, 2011.
[84] 王斌杰. 高速列车结构热点应力疲劳评定方法及应用研究[D]. 北京:北京交通大学, 2008. WANG Binjie. Research on hot spot stress fatigue evaluation method and application of high-speed train structures[D]. Beijing:Beijing Jiaotong University, 2008.
[85] 马青娜, 邵飞, 高磊. 铝合金焊接接头疲劳研究进展综述[J]. 建筑结构, 2018, 48(S2):1022-1026. MA Qingna, SHAO Fei, GAO Lei. Review of fatigue research progress of aluminum alloy welded joints[J]. Building Structure, 2018, 48(S2):1022-1026.
[86] 龚琼琼. 基于结构应力的焊接接头疲劳评估[D]. 杭州:浙江工业大学, 2013. GONG Qiongqiong. Fatigue evaluation of welded joints based on structural stress[D]. Hangzhou:Zhejiang University of Technology, 2013.
[87] 揭志羽, 李亚东, 卫星, 等. 复杂应力场下焊接接头疲劳寿命评估的热点应力法[J]. 中国公路学报, 2017, 30(5):97-103. JIE Zhiyu, LI Yadong, WEI Xing, et al. Hot stress method for fatigue life evaluation of welded joints in complex stress fields[J]. Journal of China Highway, 2017, 30(5):97-103.
[88] 闫坤, 王瑞杰. 最大主应力预测点焊疲劳寿命研究[J].机械科学与技术, 2016, 35(9):1387-1390. YAN Kun, WANG Ruijie. Research on fatigue life of spot welding with maximum principal stress[J]. Mechanical Science and Technology, 2016, 35(9):1387-1390.
[89] 廖平, 肖林, 卫星, 等. 主梁新细节的疲劳寿命预测及参数分析[J]. 西南交通大学学报, 2016, 51(4):639-644. LIAO Ping, XIAO Lin, WEI Xing, et al. Fatigue life prediction and parameter analysis of new details of the main beam[J]. Journal of Southwest Jiaotong University, 2016, 51(4):639-644.
[90] 王文静, 白锦仪, 刘伟. 基于热点应力法的焊接结构疲劳评估[J]. 北京交通大学学报, 2017, 41(6):82-87. WANG Wenjing, BAI Jinyi, LIU Wei. Fatigue evaluation of welded structures based on hot spot stress method[J]. Journal of Beijing Jiaotong University, 2017, 41(6):82-87.
[91] RADAJ D. Design and analysis of fatigue resistant welded structures[M]. Cambridge:Abington Publishing, 1990.
[92] XIAO Z G, YAMADA K. A method of determining geometric stress for fatigue strength evaluation of steel welded joints[J]. International Journal of Fatigue, 2004, 26(12):1277-1293.
[93] LIU R, LIU Y Q, JI B H, et al. Hot spot stress analysis on rib-deck welded joint in orthotropic steel decks[J]. Journal of Constructional Steel Research, 2014, 97:1-9.
[94] HOBBACHER A F. New developments at the recent update of the ⅡW recommendations for fatigue of welded joints and components[J]. Steel Construction, 2010, 3(4):231-242.
[95] 杨新岐, 张艳新, 霍立兴, 等. 焊接接头疲劳评定的局部法研究现状[J]. 焊接学报, 2003, 24(3):82-86. YANG Xinqi, ZHANG Yanxin, HUO Lixing, et al. Research status of local method for fatigue evaluation of welded joints[J]. Journal of Welding, 2003, 24(3):82-86.
[96] LAZZARIN P, LIVIERI P. Notch stress intensity factors and fatigue strength of aluminium and steel welded joints[J]. International Journal of Fatigue, 2001, 23(3):225-232.
[97] LAZZARIN P, TOVO R. A notch intensity factor approach to the stress analysis of welds[J]. Fatigue & Fracture of Engineering Materials & Structures, 1998, 21(9):1089-1103.
[98] TAYLOR D. Crack modeling:A technique for the fatigue design of components[J]. Engineering Failure Analysis, 1996, 3(2):129-136.
[99] TAYLOR D, CIEPALOWICZ A J, ROGERS P, et al. Prediction of fatigue failure in a crank shaft using the technique of crack modelling[J]. Fatigue & Fracture of Engineering Materials & Structures, 1997, 20(1):13-21.
[100] OSTASH O P, PANASYUK V V. Fatigue process zone at notches[J]. International Journal of Fatigue, 2001, 23(7):627-636.
[101] TAYLOR D, BARRETT N, LUCANO G. Some new methods for predicting fatigue in welded joints[J]. International Journal of Fatigue, 2002, 24(5):509-518.
[102] MCDIARMID D L. Fatigue under out-of-phase bending and torsion[J]. Fatigue and Fracture of Engineering Materials and Structures, 1987, 9(6):457-475.
[103] QYLAFKU G, AZARI Z, KADI N, et al. Application of a new model proposal for fatigue life prediction on notches and key-seats[J]. International Journal of Fatigue, 1999, 21(8):753-760.
[104] BERTINI L, FRENDO F, MARULO G. Fatigue life assessment of welded joints by two local stress appro-aches:The notch stress approach and the peak stress method[J]. International Journal of Fatigue, 2018, 110(5):246-253.
[105] LIU W, YAO X, CHEN X. A local stress approach to predict the fatigue life of the U-notched PMMA plate at different temperatures[J]. International Journal of Fatigue, 2017, 103(10):436-443.
[106] SATOH T, ABE H. Non-destructive detection of fatigue crack in spot-welded joint specimens[J]. Quarterly Journal of the Japan Welding Society, 1986, 4(4):666-673.
[107] RADAJ D, LEHRKE H P, GREULING S. Theoretical fatigue-effective notch stresses at spot welds[J]. Fatigue & Fracture of Engineering Materials & Structures, 2001, 24(5):293-308.
[108] RADAJ D, SONSINO C M, FRICKE W. Recent developments in local concepts of fatigue assessment of welded joints[J]. International Journal of Fatigue, 2009, 31(1):2-11.
[109] PARIS P, ERDOGAN F. A critical analysis of crack propagation laws[J]. Journal of Basic Engineering, 1963, 85(4):528-533.
[110] 刘会杰, 闫久春, 魏艳红. 焊接冶金与焊接性[M]. 北京:机械工业出版社, 2007. LIU Huijie, YAN Jiuchun, WEI Yanhong. Welding metallurgy and weldability[M]. Beijing:China Machine Press, 2007.
[111] ZHANG J, DONG P, GAO Y. Evaluation of stress intensity factor-based predictive technique for fatigue life of resistance spot welds[C]//SAE 2001 World Congress, 2001.
[112] 左银龙. 301L冷轧不锈钢点焊接头疲劳断裂分析[D].北京:北京交通大学, 2012. ZUO Yinlong. Fatigue fracture analysis of 301L cold rolled stainless steel spot welded joints[D]. Beijing:Beijing Jiaotong University, 2012.
[113] ZHANG S. Approximate stress intensity factors and notch stresses for common spot-welded specimens[J]. Welding Journal, 1999, 78(5):173-179.
[114] NEWMAM J A, DOWLING N E. A crack growth approach to life prediction of spot-welded lap joints[J]. Fatigue & Fracture of Engineering Materials & Structures, 1998, 21(9):1123-1132.
[115] LEE H, CHOI J. Overload analysis and fatigue life prediction of spot-welded specimens using an effective J-ingergral[J]. Mechanics of Materials, 2005, 37(1):19-32.
[116] 程亚军, 张春玉, 谢素明. 轨道车辆不锈钢车体焊点强度评估方法研究[J]. 大连交通大学学报, 2018, 39(2):43-47. CHENG Yajun, ZHANG Chunyu, XIE Suming. Study on the evaluation method of welding joint strength of stainless steel body of rail vehicle[J]. Journal of Dalian Jiaotong University, 2018, 39(2):43-47.
[117] 俞壮壮, 孙振轩. 基于主S-N曲线法的T形接头疲劳评估和试验验证[J]. 计算机辅助工程, 2018, 27(2):18-22. YU Zhuangzhuang, SUN Zhenxuan. Fatigue evaluation and experimental verification of T-joints based on the main S-N curve method[J]. Computer Aided Engineering, 2018, 27(2):18-22.
[118] 孙云, 朱黎明, 王龙轩, 等. 基于等效结构应力法的铸钢分叉节点环形对接焊缝的疲劳分析[J]. 应用力学学报, 2019, 36(1):183-189. SUN Yun, ZHU Liming, WANG Longxuan, et al. Fatigue analysis of circular butt welds of forked nodes of cast steel based on equivalent structural stress method[J]. Chinese Journal of Applied Mechanics, 2019, 36(1):183-189.
[119] DONG P, HONG J K, OSAGE D A. Master S-N curve method for fatigue evaluation of welded components[J]. Welding Research Council Bulletin, 2002, 474:1-44.
[120] 王亦军, 董奇志, 肖守讷, 等. 等效结构应力法的焊接疲劳评估[J]. 河南科技大学学报, 2017, 38(4):16-19. WANG Yijun, DONG Qizhi, XIAO Shoune, et al. Assessment of welding fatigue by equivalent structural stress method[J]. Journal of Henan University of Science & Technology, 2017, 38(4):16-19.
[121] KANG H T. Fatigue prediction of spot welded joints using equivalent structural stress[J]. Materials & Design, 2007, 28(3):837-843.
[122] 朱涛. 汽车结构中的点焊疲劳寿命计算[C]//中国CAE工程分析技术年会暨全国计算机辅助工程, 2005. ZHU Tao. Calculation of spot welding fatigue life in automotive structures[C]//China CAE Engineering Analysis Technology Annual Meeting and National Computer Aided Engineering, 2005.
[123] 杨轶宁, 王瑞杰, 闫坤. 结构应力法预测点焊试件疲劳寿命[J]. 电焊机, 2016, 46(6):50-53. YANG Yining, WANG Ruijie, YAN Kun. Structure stress method for predicting fatigue life of spot welding test pieces[J]. Electric Welder, 2016, 46(6):50-53.
[124] DONG P. Mesh-insensitive structural stress method for fatigue evaluation of welded structures[R]. Battelle Memorial Institute, Battelle SS JIP Training Course Materials, 2005.
[125] KANG H T, DONG P, HONG J K. Fatigue analysis of spot welds using a mesh-insensitive structural stress approach[J]. International Journal of Fatigue, 2007, 29(8):1546-1553.
[126] MIRSALEHI S E, KOKABI A H. Fatigue life estimation of spot welds using a crack propagation-based method with consideration of residual stresses effect[J]. Materials Science & Engineering, 2010, 527(23):6359-6363.
[127] PARK J M, KANG H T. Prediction of fatigue life for spot welds using back-propagation neural networks[J]. Materials and Design, 2007, 28(10):2577-2584.
[128] KANG H, BARKEY M E. Fatigue life estimation of spot welded joints using an interpolation/extrapolation technique[J]. International Journal of Fatigue, 1999, 21(8):769-777.
[129] 王瑞杰, 尚德广, 李力森, 等. 基于固有频率变化的点焊接头疲劳寿命预测[J]. 北京工业大学学报, 2007, 33(12):1252-1256. WANG Ruijie, SHANG Deguang, LI Lisen, et al. Fatigue life prediction of spot welded joints based on natural frequency changes[J]. Journal of Beijing University of Technology, 2007, 33(12):1252-1256.
[130] 湛兰, 秦湘阁. 不锈钢车体侧墙电阻点焊接头疲劳寿命预测[J]. 佳木斯大学学报, 2017, 35(5):799-802. ZHAN Lan, QIN Xiangge. Fatigue life prediction of resistance spot welding joints of stainless steel car body side walls[J]. Journal of Jiamusi University, 2017, 35(5):799-802.
[131] 侯晓丹, 王瑞杰, 雷星海. 基于累积损伤理论的ST12钢T型点焊件寿命研究[J]. 热加工工艺, 2018, 47(19):196-201. HOU Xiaodan, WANG Ruijie, LEI Xinghai. Research on life of T-spot weldments of ST12 steel based on cumulative damage theory[J]. Hot Working Technology, 2018, 47(19):196-201.
[132] ZHANG G, RICHTER B. A new approach to the numerical fatigue life prediction of spot-welded structure[J]. Fatigue & Fracture of Engineering Materials & Structures, 2008, 23(6):499-508.