基于均布临界域本征损伤耗散的疲劳极限等量关系
|
摘要
疲劳极限预测是工程结构件复杂载荷下抗疲劳设计重要基础。应力场强理论,无法给出考虑平均应力的疲劳极限关系,属于临界域准则,而临界点准则无法刻画高周疲劳损伤局部域特点,与高周疲劳损伤特点不相吻合。基于连续介质损伤力学及其不可逆热力学框架,建立一种基于高周疲劳损伤临界域本征损伤耗散的疲劳极限等量关系模型。该等量关系包括考虑拉压异性的含平均应力的拉伸疲劳极限和对称旋转弯曲疲劳极限与对称扭转疲劳极限之比。运用含平均应力的拉伸疲劳极限预测模型,对两种常见铝合金LC4和LC9进行寿命预测,结果表明所提模型优于现有的单一线性(GOODMAN和THORDBERG)和GERBER椭圆疲劳极限等量关系模型,与试验吻合较好,单一线性疲劳极限等量模型无法刻画拉压异性。利用对称旋弯-对称扭转疲劳极限比值预测模型分别对11种常见金属材料疲劳性能进行预测,结果表明所提模型明显优于基于应力场强法导出的比值预测模型。基于均布临界域本征损伤耗散开展疲劳极限预测,为金属材料疲劳强度预测研究提供了新思路。
Fatigue limit prediction is an important basis for anti-fatigue design of engineering structures under complex loads. The stress field strength theory can not give the fatigue limit relation considering mean stress and belongs to the criterion of critical region.The criterion of critical point can not describe the local characteristics of high cycle fatigue damage, which is inconsistent with the characteristics of high cycle fatigue damage. A fatigue limit equivalence relation model for high cycle fatigue, which is based on intrinsic damage dissipation in critical region, is established by means of continuum damage mechanics and its irreversible thermodynamic framework. The equivalence relation includes the tensile fatigue limit under mean stress considering the tension-compression anisotropy and the ratio of the symmetrical rotational bending fatigue limit to the symmetrical torsional fatigue limit. The life predictions of LC4 and LC9 aluminium alloys is carried out using the prediction model for tensile fatigue limit under mean stress. It is shown that the proposed model is superior to the existing models associated with fatigue limit equivalence relations of single linear(GOODMAN and THORDBERG) and GERBER elliptic, and in good agreement with the test results. The anisotropy of tension and compression can not be described using the single linear equivalent model for predicting fatigue limit. The fatigue properties of eleven kinds of common metal materials are predicted using the model for predicting the ratio of symmetrical bending-torsion fatigue limit, and it is shown that the proposal is superior obviously to the ratio prediction induced by stress field intensity approach. That fatigue limit prediction based on uniform intrinsic damage dissipation in critical domain provides a new idea for fatigue strength prediction of metal materials.
Fatigue limit prediction is an important basis for anti-fatigue design of engineering structures under complex loads. The stress field strength theory can not give the fatigue limit relation considering mean stress and belongs to the criterion of critical region.The criterion of critical point can not describe the local characteristics of high cycle fatigue damage, which is inconsistent with the characteristics of high cycle fatigue damage. A fatigue limit equivalence relation model for high cycle fatigue, which is based on intrinsic damage dissipation in critical region, is established by means of continuum damage mechanics and its irreversible thermodynamic framework. The equivalence relation includes the tensile fatigue limit under mean stress considering the tension-compression anisotropy and the ratio of the symmetrical rotational bending fatigue limit to the symmetrical torsional fatigue limit. The life predictions of LC4 and LC9 aluminium alloys is carried out using the prediction model for tensile fatigue limit under mean stress. It is shown that the proposed model is superior to the existing models associated with fatigue limit equivalence relations of single linear(GOODMAN and THORDBERG) and GERBER elliptic, and in good agreement with the test results. The anisotropy of tension and compression can not be described using the single linear equivalent model for predicting fatigue limit. The fatigue properties of eleven kinds of common metal materials are predicted using the model for predicting the ratio of symmetrical bending-torsion fatigue limit, and it is shown that the proposal is superior obviously to the ratio prediction induced by stress field intensity approach. That fatigue limit prediction based on uniform intrinsic damage dissipation in critical domain provides a new idea for fatigue strength prediction of metal materials.
引文
[1]孙作振.基于区间法的结构非概率可靠性研究[D].长春:吉林大学,2014.SUN Zuozhen.Structural non-probabilistic reliability study based on interval method[D].Changchun:Jilin University,2014.
[2]张成成.复杂应力场下结构高周疲劳寿命分析[D].南京:南京航空航天大学,2010.ZHANG Chengcheng.Fatigue life prediction of structures in HCF region under complex stress field[D].Nanjing:Nanjing University of Aeronautics and Astronautics,2010.
[3]姚卫星.金属材料疲劳行为的应力场强法描述[J].固体力学学报,1997(1):38-48.YAO Weixing.The description for fatigue behaviors of metals by stress field intensity approach[J].Acta Mechanica Solida Sinica,1997(1):38-48.
[4]YAO Weixing,YE Bin,ZHENG Lichun.A verification of the assumption of anti-fatigue design[J].International Journal of Fatigue,2001,23(3):271-277.
[5]夏天翔,姚卫星,李旭东,等.工程构件疲劳寿命估算的三维临界域法[J].南京航空航天大学学报,2014,46(3):395-402.XIA Tianxiang,YAO Weixing,LI Xudong,et al.Three-dimensional critical zone approach for fatigue lifetime prediction ofengineering structure[J].Journal of Nanjing University of Aeronautics&Astronautics,2014,46(3):395-402.
[6]赵丙峰,谢里阳,赵志强,等.基于应力场强法的缺口构件场强值算法[J].机械工程学报,2018,54(24):88-97.ZHAO Bingfeng,XIE Liyang,ZHAO Zhiqiang,et al.Field stress intensity calculation of notched component specimens basedon field intensity method[J].Journal of Mechanical Engineering,2018,54(24):88-97.
[7]雷冬,赵建华,龚明,等.疲劳过程中的能量耗散和疲劳寿命的预测[J].实验力学,2008,23(5):434-442.LEI Dong,ZHAO Jianhua,GONG Ming,et al.On the energy dissipation in fatigue process and fatigue life prediction[J].Journal of Experimental Mechanics,2008,23(5):434-442.
[8]FELTNER C E,MORROW J D.Microplastic strain hysteresis energy as a criterion for fatigue fracture[J].J.Basic Engineering ASME,1961,3:15-22.
[9]PALIN-LUC T,LASSERRE S.An energy based criterion for high cycle multiaxialfatigue[J].European Journal of Mechanics,A/Solids,2016,17(2):237-251.
[10]SONINO.Energy criteria of multiaxial fatigue failure[J].Fatigue&Fracture of Engineering Materials&Structures,2010,22(12):1053-1070.
[11]杨宇宙,钱林方,徐亚栋,等.复合材料厚壁圆筒的疲劳损伤研究[J].应用力学学报,2013(3):378-383.YANG Yuzhou,QIAN Linfang,XU Yadong,et al.Fatigue failure analysis of composite material tube[J].Chinese Journal of Applied Mechanics,2013(3):378-383.
[12]徐灏.疲劳强度[M].北京:高等教育出版社,1988.XU Hao.Fatigue strength[M].Beijing:Higher Education Press,1988.
[13]蔡晓静,许金泉.各种平均应力下高周疲劳极限间的定量关系[J].工程力学,2015(10):25-30.CAI Xiaojing,XU Jinquan.A quantitative relationship of high cyclefatigue limit with mean stresses[J].Engineering Mechanics,2015(10):25-30.
[14]SUSMEL L,LAZZARIN P.A bi-parametric W?hler curve for high cycle multiaxial fatigue assessment[J].Fatigue&Fracture of Engineering Materials&Structures,2010,25(1):63-78.
[15]PAPADOPOULOS I V.A new criterion of fatigue strength for out-of-phase bending and torsion of hard metals[J].International Journal of Fatigue,1994,16(6):377-384.
[16]ZHANG Chengcheng,YAO Weixing.An improved multiaxial high-cycle fatigue criterion based on critical plane approach[J].Fatigue&Fracture of Engineering Materials&Structures,2011,34(5):337-344.
[17]蔡能,尚德广.高温多轴疲劳损伤与寿命预测研究进展[J].机械强度,2004,26(5):576-582.CAI Neng,SHANG Deguang.Advance in research of multiaxial fatigue damage and life predictionat high temperature[J].Journal of Mechanical Strength,2004,26(5):576-582.
[18]彭艳,李浩然.考虑附加强化效应的多轴高周疲劳损伤演化模型[J].机械工程学报,2015,51(16):135-142.PENG Yan,LI Haoran.Multi axial high cycle fatigue damage evolution model including additional hardening effect[J].Journal of Mechanical Engineering,2015,51(16):135-142.
[19]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,2012,44(1):140-147.YANG Fengping,SUN Qin,LUO Jinheng,et al.Acorrected damage law for high cycle fatigue[J].Chinese Journal of Theoretical and Applied Mechanics,2012,44(1):140-147.
[20]AYOUB G,NAIT-ABDELAZIZ M,ZAIRI F,et al.Acontinuum damage model for the high-cycle fatigue life prediction of styrene-butadiene rubber under multiaxial loading[J].International Journal of Solids&Structures,2011,48(18):2458-2466.
[21]张行,赵军.金属构件应用疲劳损伤力学[M].北京:国防工业出版社,1998.ZHANG Xing,ZHAO Jun.Application of fatigue damage mechanics to metal components[M].Beijing:National Defense Industry Press,1998.
[22]侯善芹.金属材料应力疲劳寿命评价模型[D].上海:上海交通大学,2016.HOU Shanqin.Life evaluation model of stress fatigue formetals[D].Shanghai:Shanghai Jiao Tong University,2016.
[23]陈振华,黄瑞明,陈鼎,等.应力比对WC-Co硬质合金疲劳性能的影响[J].湖南大学学报,2017,44(6):1-6.CHEN Zhenhua,HUANG Ruiming,CHEN Ding,et al.Influence of different stress ratios on fatigue behavior of WC-Co cemented carbides[J].Journal of Hunan University,2017,44(6):1-6.
[24]DELAHAY T,PALIN-LUC T.Estimation of the fatigue strength distribution in high-cycle multiaxial fatigue taking into account the stress-strain gradient effect[J].International Journal of Fatigue,2006,28(5):474-484.
[25]BANVILLET A,PALIN-LUC T,LASSERRE S.Avolumetric energy based high cycle multiaxial fatigue criterion[J].International Journal of Fatigue,2003,25(8):755-769.
[26]CARPINTERI A,SPAGNOLI A.Multiaxial high-cycle fatigue criterion for hard metals[J].International Journal of Fatigue,2001,23(2):135-145.
[27]BRACCRSI C,CIANETTI F,LORI G,et al.An equivalent uniaxial stress process for fatigue life estimation of mechanical components under multiaxial stress conditions[J].International Journal of Fatigue,2008,30(8):1479-1497.
[28]姚卫星.结构疲劳寿命分析[M].北京:国防工业出版社,2003.YAO Weixing.Fatigue life prediction of structures[M].Beijing:National Defense Industry Press,2003.
[29]NASR A,NADOT Y,BOURAOUI C,et al.Effect of artificial defect and mean shear stress on torsional fatigue behaviour[J].Applied Mechanics and Materials,2012,146:74-82.
[2]张成成.复杂应力场下结构高周疲劳寿命分析[D].南京:南京航空航天大学,2010.ZHANG Chengcheng.Fatigue life prediction of structures in HCF region under complex stress field[D].Nanjing:Nanjing University of Aeronautics and Astronautics,2010.
[3]姚卫星.金属材料疲劳行为的应力场强法描述[J].固体力学学报,1997(1):38-48.YAO Weixing.The description for fatigue behaviors of metals by stress field intensity approach[J].Acta Mechanica Solida Sinica,1997(1):38-48.
[4]YAO Weixing,YE Bin,ZHENG Lichun.A verification of the assumption of anti-fatigue design[J].International Journal of Fatigue,2001,23(3):271-277.
[5]夏天翔,姚卫星,李旭东,等.工程构件疲劳寿命估算的三维临界域法[J].南京航空航天大学学报,2014,46(3):395-402.XIA Tianxiang,YAO Weixing,LI Xudong,et al.Three-dimensional critical zone approach for fatigue lifetime prediction ofengineering structure[J].Journal of Nanjing University of Aeronautics&Astronautics,2014,46(3):395-402.
[6]赵丙峰,谢里阳,赵志强,等.基于应力场强法的缺口构件场强值算法[J].机械工程学报,2018,54(24):88-97.ZHAO Bingfeng,XIE Liyang,ZHAO Zhiqiang,et al.Field stress intensity calculation of notched component specimens basedon field intensity method[J].Journal of Mechanical Engineering,2018,54(24):88-97.
[7]雷冬,赵建华,龚明,等.疲劳过程中的能量耗散和疲劳寿命的预测[J].实验力学,2008,23(5):434-442.LEI Dong,ZHAO Jianhua,GONG Ming,et al.On the energy dissipation in fatigue process and fatigue life prediction[J].Journal of Experimental Mechanics,2008,23(5):434-442.
[8]FELTNER C E,MORROW J D.Microplastic strain hysteresis energy as a criterion for fatigue fracture[J].J.Basic Engineering ASME,1961,3:15-22.
[9]PALIN-LUC T,LASSERRE S.An energy based criterion for high cycle multiaxialfatigue[J].European Journal of Mechanics,A/Solids,2016,17(2):237-251.
[10]SONINO.Energy criteria of multiaxial fatigue failure[J].Fatigue&Fracture of Engineering Materials&Structures,2010,22(12):1053-1070.
[11]杨宇宙,钱林方,徐亚栋,等.复合材料厚壁圆筒的疲劳损伤研究[J].应用力学学报,2013(3):378-383.YANG Yuzhou,QIAN Linfang,XU Yadong,et al.Fatigue failure analysis of composite material tube[J].Chinese Journal of Applied Mechanics,2013(3):378-383.
[12]徐灏.疲劳强度[M].北京:高等教育出版社,1988.XU Hao.Fatigue strength[M].Beijing:Higher Education Press,1988.
[13]蔡晓静,许金泉.各种平均应力下高周疲劳极限间的定量关系[J].工程力学,2015(10):25-30.CAI Xiaojing,XU Jinquan.A quantitative relationship of high cyclefatigue limit with mean stresses[J].Engineering Mechanics,2015(10):25-30.
[14]SUSMEL L,LAZZARIN P.A bi-parametric W?hler curve for high cycle multiaxial fatigue assessment[J].Fatigue&Fracture of Engineering Materials&Structures,2010,25(1):63-78.
[15]PAPADOPOULOS I V.A new criterion of fatigue strength for out-of-phase bending and torsion of hard metals[J].International Journal of Fatigue,1994,16(6):377-384.
[16]ZHANG Chengcheng,YAO Weixing.An improved multiaxial high-cycle fatigue criterion based on critical plane approach[J].Fatigue&Fracture of Engineering Materials&Structures,2011,34(5):337-344.
[17]蔡能,尚德广.高温多轴疲劳损伤与寿命预测研究进展[J].机械强度,2004,26(5):576-582.CAI Neng,SHANG Deguang.Advance in research of multiaxial fatigue damage and life predictionat high temperature[J].Journal of Mechanical Strength,2004,26(5):576-582.
[18]彭艳,李浩然.考虑附加强化效应的多轴高周疲劳损伤演化模型[J].机械工程学报,2015,51(16):135-142.PENG Yan,LI Haoran.Multi axial high cycle fatigue damage evolution model including additional hardening effect[J].Journal of Mechanical Engineering,2015,51(16):135-142.
[19]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,2012,44(1):140-147.YANG Fengping,SUN Qin,LUO Jinheng,et al.Acorrected damage law for high cycle fatigue[J].Chinese Journal of Theoretical and Applied Mechanics,2012,44(1):140-147.
[20]AYOUB G,NAIT-ABDELAZIZ M,ZAIRI F,et al.Acontinuum damage model for the high-cycle fatigue life prediction of styrene-butadiene rubber under multiaxial loading[J].International Journal of Solids&Structures,2011,48(18):2458-2466.
[21]张行,赵军.金属构件应用疲劳损伤力学[M].北京:国防工业出版社,1998.ZHANG Xing,ZHAO Jun.Application of fatigue damage mechanics to metal components[M].Beijing:National Defense Industry Press,1998.
[22]侯善芹.金属材料应力疲劳寿命评价模型[D].上海:上海交通大学,2016.HOU Shanqin.Life evaluation model of stress fatigue formetals[D].Shanghai:Shanghai Jiao Tong University,2016.
[23]陈振华,黄瑞明,陈鼎,等.应力比对WC-Co硬质合金疲劳性能的影响[J].湖南大学学报,2017,44(6):1-6.CHEN Zhenhua,HUANG Ruiming,CHEN Ding,et al.Influence of different stress ratios on fatigue behavior of WC-Co cemented carbides[J].Journal of Hunan University,2017,44(6):1-6.
[24]DELAHAY T,PALIN-LUC T.Estimation of the fatigue strength distribution in high-cycle multiaxial fatigue taking into account the stress-strain gradient effect[J].International Journal of Fatigue,2006,28(5):474-484.
[25]BANVILLET A,PALIN-LUC T,LASSERRE S.Avolumetric energy based high cycle multiaxial fatigue criterion[J].International Journal of Fatigue,2003,25(8):755-769.
[26]CARPINTERI A,SPAGNOLI A.Multiaxial high-cycle fatigue criterion for hard metals[J].International Journal of Fatigue,2001,23(2):135-145.
[27]BRACCRSI C,CIANETTI F,LORI G,et al.An equivalent uniaxial stress process for fatigue life estimation of mechanical components under multiaxial stress conditions[J].International Journal of Fatigue,2008,30(8):1479-1497.
[28]姚卫星.结构疲劳寿命分析[M].北京:国防工业出版社,2003.YAO Weixing.Fatigue life prediction of structures[M].Beijing:National Defense Industry Press,2003.
[29]NASR A,NADOT Y,BOURAOUI C,et al.Effect of artificial defect and mean shear stress on torsional fatigue behaviour[J].Applied Mechanics and Materials,2012,146:74-82.