一种非线性模型下的复合材料螺栓连接失效分析
|
摘要
复合材料螺栓连接结构已广泛应用于飞机结构件,研究其拉伸失效问题具有重要意义。结合Hashin失效准则、能量耗散率方法、Puck失效准则和材料损伤连续退化方法,建立一种包含面内损伤和层间损伤的复合材料三维非线性模型;将含开孔层合板准静态拉伸试验结果与有限元数值模拟结果进行对比,两者之间的应力应变响应及最终断裂失效模式一致,证明该本构模型是有效的;在此基础上,对复合材料单钉双搭接螺栓连接结构进行拉伸失效分析。结果表明:数值模拟所得位移载荷响应与试验结果吻合良好,极限拉伸载荷误差不超过5%,满足工程应用要求;加载过程中的孔边变形和损伤累积使得螺栓连接结构整体刚度下降,其最终破坏模式为中搭接板挤压失效。
Composite bolted joints have been widely used in aircraft structures. It is important to study their tensile failure. A three dimensional nonlinear model is established by combining the Hashin's criterion, energy dissipation rate method, Puck's criterion and continuum damage degradation method, including intra-laminar and inter-laminar damage. Comparing the results of quasi-static tensile test on notched laminate with the numerical simulation results, both of the stress strain response and final failure mode are consistent, hence the constitutive model is validated, and then the constitutive model is adopted to analyze the tensile failure of the double lap single bolt composite joint. Results show the displacement-load curves between numerical simulation and test are in good agreement. Meanwhile, the deviation of ultimate tensile load is no more than 5%, which meets the requirement of engineering application. Furthermore, the overall structural stiffness of composite bolted joint decreases due to the hole edge deformation and damage accumulation, and the ultimate failure mode is bearing failure of the mid-plate.
Composite bolted joints have been widely used in aircraft structures. It is important to study their tensile failure. A three dimensional nonlinear model is established by combining the Hashin's criterion, energy dissipation rate method, Puck's criterion and continuum damage degradation method, including intra-laminar and inter-laminar damage. Comparing the results of quasi-static tensile test on notched laminate with the numerical simulation results, both of the stress strain response and final failure mode are consistent, hence the constitutive model is validated, and then the constitutive model is adopted to analyze the tensile failure of the double lap single bolt composite joint. Results show the displacement-load curves between numerical simulation and test are in good agreement. Meanwhile, the deviation of ultimate tensile load is no more than 5%, which meets the requirement of engineering application. Furthermore, the overall structural stiffness of composite bolted joint decreases due to the hole edge deformation and damage accumulation, and the ultimate failure mode is bearing failure of the mid-plate.
引文
[1] Lawlor V P,McCarthy M A,Stanley W F.An experimental study of bolt-hole clearance effects in double-lap,multi-bolt composite joints[J].Composite Structures,2005,71(2):176-190.
[2] Xiao Y,Ishikawa T.Bearing strength and failure behavior of bolted composite joints Part I:Experimental investigation[J].Composites Science and Technology,2005,65(7):1022-1031.
[3] Warren K C,Lopez-Anido R A,Goering J.Behavior of three-dimensional woven carbon composites in single-bolt bearing[J].Composite Structures,2015,127(3):175-184.
[4] 何柏灵,葛东云,莫与明,等.T800碳纤维增强复合材料双剪单钉连接的拉伸试验及强度估算[J].复合材料学报,2016,33(7):1540-1552.He Boling,Ge Dongyun,Mo Yuming,et al.Tensile tests and strength estimation for double-lap single-bolt joints in T800 carbon fiber reinforced composites[J].Acta Materiae Compositae Sinica,2016,33(7):1540-1552.(in Chinese)
[5] McCarthy C T,Gray P J.An analytical model for the prediction of load distribution in highly torqued multi-bolt composite joints[J].Composite Structures,2011,93(6):287-298.
[6] 舒怀,李亚智,刘向东,等.紧固件连接柔度的解析与试验研究[J].工程力学,2013,30(3):470-475.Shu Huai,Li Yazhi,Liu Xiangdong,et al.Investigations on the fastener flexibility in mechanically fastened joints[J].Engineering Mechnics,2013,30(3):470-475.(in Chinese)
[7] Olmedo A,Santiuste C,Barbero E.An analytical model for predicting the stiffness and strength of pinned-joint composite laminates[J].Composites Science and Technology,2014,90(1):67-73.
[8] 谢宗蕻,李想,杨淋雅,等.基于弹簧质量模型的复合材料螺接修理载荷传递计算方法[J].航空学报,2016,37(12):3742-3751.Xie Zonghong,Li Xiang,Yang Linya,et al.A calculation method for load transfer in bolted repair of composite laminates based on spring-mass model[J].Acta Aeronautica et Astronautica Sinica,2016,37(12):3742-3751.(in Chinese)
[9] 谢宗蕻,李想,郭家平,等.考虑间隙配合的复合材料钉载分配均匀化方法[J].复合材料学报,2016,33(4):806-813.Xie Zonghong,Li Xiang,Guo Jiaping,et al.Load distribution homogenization method of multi-bolt composite joint with consideration of bolt-hole clearance[J].Acta Materiae Compositae Sinica,2016,33(4):806-813.(in Chinese)
[10] 侯赤,万小朋,黄河源,等.复合材料层合板多钉连接的紧固件连接柔度[J].航空学报,2018,39(3):225193.Hou Chi,Wan Xiaopeng,Huang Heyuan,et al.Fastener connection flexibility of multi-bolted joint of composite laminate[J].Acta Aeronautica et Astronautica Sinica,2018,39(3):225193.(in Chinese)
[11] 黄河源,赵美英,万小朋,等.一种复合材料螺栓连接结构非线性刚度模型及应用[J].西北工业大学学报,2018,36(1):66-73.Huang Heyuan,Zhao Meiying,Wan Xiaopeng,et al.A composite bolted joints non-linear stiffness model and its application[J].Journal of Northwestern Polytechnical University,2018,36(1):66-73.(in Chinese)
[12] Padhi G S,McCarthy M A,McCarthy C T.BOLJAT:a tool for designing composite bolted joints using three-dimensional finite element analysis[J].Composites Part A:Applied Science & Manufacturing,2002,33(11):1573-84.
[13] McCarthy C T,McCarthy M A,Lawlor V P.Progressive damage analysis of multibolt composite joints with variable bolt-hole clearances[J].Composites Part B:Engineering,2005,36(4):290-305.
[14] Huhne C,Zerbst A K,Kuhlmann G,et al.Progressive da-mage analysis of composite bolted joints with liquid shim layer using constant degradation models[J].Composite Structures,2010,92(4):189-200.
[15] Olmedo A,Santiuste C.On the prediction of bolted single-lap joints[J].Composite Structures,2012,94(6):2110-2117.
[16] Camanho P P,Bowron S,Matthews F L.Failure mechanisms in bolted FRP[J].Journal of Reinforced Plastics and Composites,1998,17(3):205-233.
[17] 王跃全,童明波,朱书华.基于CDM的复合材料层合板三维非线性渐进损伤分析[J].南京航空航天大学学报,2009,41(6):709-714.Wang Yuequan,Tong Mingbo,Zhu Shuhua.Three-dimensional nonlinear progressive damage analysis on composite laminates based on continuum damage mechanics[J].Journal of Nanjing University of Aeronautics & Astronautics,2009,41(6):709-714.(in Chinese)
[18] Hashin Z.Failure criteria for unidirectional fiber composites[J].Journal of Applied Mechanics,1980,47(3):29-34.
[19] Peter Linde,Jurgen Pleitner,Henk de Boer,et al.Modelling and simulation of fibre metal laminates[C].2004 ABAQUS Users’ Conference.Boston Massachusetts:ABAQUS Inc.2004:412-439.
[20] Hai Qing,Leon Mishnaevsky Jr.3D constitutive model of anisotropic damage for unidirectional ply based on physical failure mechanisms[J].Computational Materials Science,2010,50:479-486.
[21] Lemaitre J,Desmorat R.Engineering damage mechanics:ductile,creep,fatigue and brittle failure[M].Berlin:Springer,2010.
[22] Carlos G Davila,Pedro P Camanho,Cheryl A Rose.Failure criteria for FRP Laminates[J].Journal of Composite Materials,2005,39(5):323-345.
[23] Pinho S T.Modelling failure of laminated composites using physically-based failure models[D].London:Imperial College London,2005.
[24] Egan B,McCarthy M A,Frizzell R M,et al.Modelling bearing failure in countersunk composite joints under quasi-static loading using 3D explicit finite element analysis[J].Composite Structures,2014,108(2):963-977.
[25] 黄河源.基于多尺度方法的ZT7H/5429复合材料结构力学性能研究[D].西安:西北工业大学,2018.Huang Heyuan.A study of mechanical properties of ZT7H/5429 composite structures based on the multiscale method[D].Xi’an:Northwestern Polytechnical University,2018.(in Chinese)
[2] Xiao Y,Ishikawa T.Bearing strength and failure behavior of bolted composite joints Part I:Experimental investigation[J].Composites Science and Technology,2005,65(7):1022-1031.
[3] Warren K C,Lopez-Anido R A,Goering J.Behavior of three-dimensional woven carbon composites in single-bolt bearing[J].Composite Structures,2015,127(3):175-184.
[4] 何柏灵,葛东云,莫与明,等.T800碳纤维增强复合材料双剪单钉连接的拉伸试验及强度估算[J].复合材料学报,2016,33(7):1540-1552.He Boling,Ge Dongyun,Mo Yuming,et al.Tensile tests and strength estimation for double-lap single-bolt joints in T800 carbon fiber reinforced composites[J].Acta Materiae Compositae Sinica,2016,33(7):1540-1552.(in Chinese)
[5] McCarthy C T,Gray P J.An analytical model for the prediction of load distribution in highly torqued multi-bolt composite joints[J].Composite Structures,2011,93(6):287-298.
[6] 舒怀,李亚智,刘向东,等.紧固件连接柔度的解析与试验研究[J].工程力学,2013,30(3):470-475.Shu Huai,Li Yazhi,Liu Xiangdong,et al.Investigations on the fastener flexibility in mechanically fastened joints[J].Engineering Mechnics,2013,30(3):470-475.(in Chinese)
[7] Olmedo A,Santiuste C,Barbero E.An analytical model for predicting the stiffness and strength of pinned-joint composite laminates[J].Composites Science and Technology,2014,90(1):67-73.
[8] 谢宗蕻,李想,杨淋雅,等.基于弹簧质量模型的复合材料螺接修理载荷传递计算方法[J].航空学报,2016,37(12):3742-3751.Xie Zonghong,Li Xiang,Yang Linya,et al.A calculation method for load transfer in bolted repair of composite laminates based on spring-mass model[J].Acta Aeronautica et Astronautica Sinica,2016,37(12):3742-3751.(in Chinese)
[9] 谢宗蕻,李想,郭家平,等.考虑间隙配合的复合材料钉载分配均匀化方法[J].复合材料学报,2016,33(4):806-813.Xie Zonghong,Li Xiang,Guo Jiaping,et al.Load distribution homogenization method of multi-bolt composite joint with consideration of bolt-hole clearance[J].Acta Materiae Compositae Sinica,2016,33(4):806-813.(in Chinese)
[10] 侯赤,万小朋,黄河源,等.复合材料层合板多钉连接的紧固件连接柔度[J].航空学报,2018,39(3):225193.Hou Chi,Wan Xiaopeng,Huang Heyuan,et al.Fastener connection flexibility of multi-bolted joint of composite laminate[J].Acta Aeronautica et Astronautica Sinica,2018,39(3):225193.(in Chinese)
[11] 黄河源,赵美英,万小朋,等.一种复合材料螺栓连接结构非线性刚度模型及应用[J].西北工业大学学报,2018,36(1):66-73.Huang Heyuan,Zhao Meiying,Wan Xiaopeng,et al.A composite bolted joints non-linear stiffness model and its application[J].Journal of Northwestern Polytechnical University,2018,36(1):66-73.(in Chinese)
[12] Padhi G S,McCarthy M A,McCarthy C T.BOLJAT:a tool for designing composite bolted joints using three-dimensional finite element analysis[J].Composites Part A:Applied Science & Manufacturing,2002,33(11):1573-84.
[13] McCarthy C T,McCarthy M A,Lawlor V P.Progressive damage analysis of multibolt composite joints with variable bolt-hole clearances[J].Composites Part B:Engineering,2005,36(4):290-305.
[14] Huhne C,Zerbst A K,Kuhlmann G,et al.Progressive da-mage analysis of composite bolted joints with liquid shim layer using constant degradation models[J].Composite Structures,2010,92(4):189-200.
[15] Olmedo A,Santiuste C.On the prediction of bolted single-lap joints[J].Composite Structures,2012,94(6):2110-2117.
[16] Camanho P P,Bowron S,Matthews F L.Failure mechanisms in bolted FRP[J].Journal of Reinforced Plastics and Composites,1998,17(3):205-233.
[17] 王跃全,童明波,朱书华.基于CDM的复合材料层合板三维非线性渐进损伤分析[J].南京航空航天大学学报,2009,41(6):709-714.Wang Yuequan,Tong Mingbo,Zhu Shuhua.Three-dimensional nonlinear progressive damage analysis on composite laminates based on continuum damage mechanics[J].Journal of Nanjing University of Aeronautics & Astronautics,2009,41(6):709-714.(in Chinese)
[18] Hashin Z.Failure criteria for unidirectional fiber composites[J].Journal of Applied Mechanics,1980,47(3):29-34.
[19] Peter Linde,Jurgen Pleitner,Henk de Boer,et al.Modelling and simulation of fibre metal laminates[C].2004 ABAQUS Users’ Conference.Boston Massachusetts:ABAQUS Inc.2004:412-439.
[20] Hai Qing,Leon Mishnaevsky Jr.3D constitutive model of anisotropic damage for unidirectional ply based on physical failure mechanisms[J].Computational Materials Science,2010,50:479-486.
[21] Lemaitre J,Desmorat R.Engineering damage mechanics:ductile,creep,fatigue and brittle failure[M].Berlin:Springer,2010.
[22] Carlos G Davila,Pedro P Camanho,Cheryl A Rose.Failure criteria for FRP Laminates[J].Journal of Composite Materials,2005,39(5):323-345.
[23] Pinho S T.Modelling failure of laminated composites using physically-based failure models[D].London:Imperial College London,2005.
[24] Egan B,McCarthy M A,Frizzell R M,et al.Modelling bearing failure in countersunk composite joints under quasi-static loading using 3D explicit finite element analysis[J].Composite Structures,2014,108(2):963-977.
[25] 黄河源.基于多尺度方法的ZT7H/5429复合材料结构力学性能研究[D].西安:西北工业大学,2018.Huang Heyuan.A study of mechanical properties of ZT7H/5429 composite structures based on the multiscale method[D].Xi’an:Northwestern Polytechnical University,2018.(in Chinese)