基于失效机制的单向纤维增强树脂复合材料退化模型
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摘要
基于复合材料力学理论和失效机制,建立了一种新的适用于单向纤维增强树脂基复合材料的突降退化模型,用于描述复合材料基本材料性能在不同模式失效发生后的衰减行为。在模型中不仅考虑了复合材料拉伸和压缩弹性模量的差别,还考虑了损伤后材料拉伸和压缩性能退化的不同,以及裂纹闭合效应和侧向约束对压缩失效后性能的影响。另外,该模型只需要基本材料参数作为输入,便于应用。为了验证所提出的模型,建立了T800碳纤维增强X850环氧树脂基复合材料的退化模型,并对典型复合材料螺栓连接结构的拉伸失效行为进行渐进损伤分析。数值模拟获得的结构破坏载荷、破坏形式及载荷位移曲线与试验结果有较好的一致性,验证了所提出模型的计算精度和有效性。
Based on the failure mechanisms and mechanics of composite,a new degradation model for unidirectional fiber reinforced polymer composites was established to describe the degradation behavior of different failure modes.The difference between the tensile and compressive modulus,the different degradation of damage on the tensile and compressive modulus,the crack closure and the influence of the lateral supports were considered in the proposed model.The proposed model is convenient to use because only fundamental material properties are required.The degradation model for T800/X850 carbon fiber/epoxy composite was established and the progressive failure analyses of typical bolted composite joints were performed.The numerical predictions of failure load,failure patterns,and load-displacement curve were compared with results obtained from static tests.Good agreements between numerical failure predictions and experimental outcomes indicate the effectiveness and suitability of the proposed model.
Based on the failure mechanisms and mechanics of composite,a new degradation model for unidirectional fiber reinforced polymer composites was established to describe the degradation behavior of different failure modes.The difference between the tensile and compressive modulus,the different degradation of damage on the tensile and compressive modulus,the crack closure and the influence of the lateral supports were considered in the proposed model.The proposed model is convenient to use because only fundamental material properties are required.The degradation model for T800/X850 carbon fiber/epoxy composite was established and the progressive failure analyses of typical bolted composite joints were performed.The numerical predictions of failure load,failure patterns,and load-displacement curve were compared with results obtained from static tests.Good agreements between numerical failure predictions and experimental outcomes indicate the effectiveness and suitability of the proposed model.
引文
[1]陈静芬.基于弹塑性损伤本构模型的复合材料层合板破坏荷载预测[J].复合材料学报,2017,34(4):773-785.CHEN Jingfen.Failure loads prediction of composite laminates using a combined elastoplastic damage model[J].Acta Materiae Compositae Sinica,2017,34(5):773-785(in Chinese).
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[9]ZHANG J Y,QI D X,ZHOU L W,et al.A progressive failure analysis model for composite structures in hygrothermal environments[J].Composite Structures,2015,133:331-342.
[10]赵丽滨,徐吉峰.先进复合材料连接结构分析方法[M].北京:北京航空航天大学出版社,2015,9-13.ZHAO Libin,XU Jifeng.Analysis method for advanced composite joints[M].Beijing:Beihang University Press,2015:9-13(in Chinese).
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[12]李伟东,张金栋,刘刚,等.国产T800碳纤维/双马来酰亚胺复合材料的界面及力学性能[J].复合材料学报,2016,33(7):1484-1491.LI Weidong,ZHANG Jindong,LIU Gang,et al.Interfacial and mechanical properties of domestic T800carbon fiber/bismaleimide composites[J].Acta Materiae Compositae Sinica,2016,33(7):1484-1491(in Chinese).
[13]SCHAPERY R A.Prediction of compressive strength and kink bands in composites using a work potential[J].International Journal of Solids Structures,1995,32(6/7):739-765.
[14]BARAL N,GUEZENOC H,DAVIES P,et al.High modulus carbon fibre composites:Correlation between transverse tensile and model I interlamianr fracture properties[J].Materials Latters,2008,62:1096-1099.
[15]GONZLEZ C,LLORCA J.Mechanical behavior of unidirectional fiber-reinforced polymers under transverse compression:Microscopic mechanisms and modeling[J].Composites Science and Technology,2007,67:2795-2806.
[16]TANG Z W,WANG C C,YU Y L.Failure response of fiber-epoxy unidirectional laminate under transverse tensile/compressive loading using finite-volume micromechanics[J].Composites Part B:Engineering,2015,79:331-341.
[17]Standard test method for bearing response of polymer matrix composite lamiantes:ASTM D5961-17[S].West Conshohocken:ASTM International,2017.
[18]YANG Y X,LIU X S,WANG Y Q,et al.A progressive damage model for predicting damage evolution of laminated composites subjected to three-point bending[J].Composites Science and Technology,2017,151:85-93.
[19]MCCARTHY C T,MCCARTHY M A,STANLEY W F,et al.Experiences with modeling friction in composite bolted joints[J].Journal of Composite Materials,2005,39:1881-1908.
[20]CHRISTENSEN R M.Tensor transformations and failure criteria for the analysis of fiber composite materials[J],Journal of Composite Materials,1998,22:874-897.
[21]HASHIN Z.Failure criteria for unidirectional fiber composites[J].Journal of Applied Mechanics,1980,47:329-335.
[22]李晨,徐欢欢,古兴瑾.层间混杂复合材料板的拉伸强度预报[J].复合材料学报,2017,34(4):795-800.LI Chen,XU Huanhuan,GU Xingjin.Prediction on tensile strength of inter-ply hybrid composite laminates[J].Acta Materiae Compositae Sinica,2017,34(4):795-800(in Chinese).
[23]SODEN P D,HINTON M J,KADDOUR A S.Biaxial test results for strength and deformation of a range of e-glass and carbon fibre reinforced composite laminates:Failure exercise benchmark data[J].Composite Science and Technology,2002,62:1489-1514.
[2]GARNICH M R,AKULA V M K.Review of degradation models for progressive failure analysis of fiber reinforced polymer composites[J].Applied Mechanics Reviews,2009,62:1-33.
[3]PHILIPPIDIS T P,ANTONIOU A E.A progressive damage FEA model for glass/epoxy shell structures[J].Journal of Composite Materials,2012,47(5):623-637.
[4]关志东,黎增山,刘德博,等.复合材料层板开孔压缩损伤分析[J].复合材料学报,2012,29(3):167-172.GUAN Zhidong,LI Zengshan,LIU Debo,et al.Damage analysis of open-hole compression laminates[J].Acta Materiae Compositae Sinica,2012,29(3):167-172(in Chinese).
[5]黄文俊,程小全,武鹏飞,等.复合材料混合连接结构拉伸性能与影响因素分析[J].北京航空航天大学学报,2013,39(10):1408-1413.HUANG Wenjun,CHENG Xiaoquan,WU Pengfei,et al.Analysis on tensile properties and influence factors of composite hybrid joints[J].Journal of Beijing University of Aeronautics and Astronautics,2013,39(10):1408-1413(in Chinese).
[6]FAN J F,CHENG X Q,WANG S W,et al.Experimental and numerical investigation of composite boltedπ-joint subjected to bending load[J].Composites Part B:Engineering,2015,78:324-330.
[7]陈滨琦,曾建江,王玉青,等.三向受压下单向复合材料层板破坏的细观力学分析[J].复合材料学报,2017,34(4):801-811.CHEN Binqi,ZENG Jianjiang,WANG Yuqing,etal.Micromechanics analysis of damage for unidirectional composite laminates under tri-axial compression[J].Acta Materiae Compositae Sinica,2017,34(4):801-811(inChinese).
[8]ZHANG J Y,ZHOU L W,CHEN Y L,et al.A micromechanics-based degradation model for composite progressive damage analysis[J].Journal of Composite Materials,2016,50(16):2271-2287.
[9]ZHANG J Y,QI D X,ZHOU L W,et al.A progressive failure analysis model for composite structures in hygrothermal environments[J].Composite Structures,2015,133:331-342.
[10]赵丽滨,徐吉峰.先进复合材料连接结构分析方法[M].北京:北京航空航天大学出版社,2015,9-13.ZHAO Libin,XU Jifeng.Analysis method for advanced composite joints[M].Beijing:Beihang University Press,2015:9-13(in Chinese).
[11]KOLLR L P,SPRINGER G S.Mechanics of composite structure[M].London:Cambridge University Press,2003:8-22.
[12]李伟东,张金栋,刘刚,等.国产T800碳纤维/双马来酰亚胺复合材料的界面及力学性能[J].复合材料学报,2016,33(7):1484-1491.LI Weidong,ZHANG Jindong,LIU Gang,et al.Interfacial and mechanical properties of domestic T800carbon fiber/bismaleimide composites[J].Acta Materiae Compositae Sinica,2016,33(7):1484-1491(in Chinese).
[13]SCHAPERY R A.Prediction of compressive strength and kink bands in composites using a work potential[J].International Journal of Solids Structures,1995,32(6/7):739-765.
[14]BARAL N,GUEZENOC H,DAVIES P,et al.High modulus carbon fibre composites:Correlation between transverse tensile and model I interlamianr fracture properties[J].Materials Latters,2008,62:1096-1099.
[15]GONZLEZ C,LLORCA J.Mechanical behavior of unidirectional fiber-reinforced polymers under transverse compression:Microscopic mechanisms and modeling[J].Composites Science and Technology,2007,67:2795-2806.
[16]TANG Z W,WANG C C,YU Y L.Failure response of fiber-epoxy unidirectional laminate under transverse tensile/compressive loading using finite-volume micromechanics[J].Composites Part B:Engineering,2015,79:331-341.
[17]Standard test method for bearing response of polymer matrix composite lamiantes:ASTM D5961-17[S].West Conshohocken:ASTM International,2017.
[18]YANG Y X,LIU X S,WANG Y Q,et al.A progressive damage model for predicting damage evolution of laminated composites subjected to three-point bending[J].Composites Science and Technology,2017,151:85-93.
[19]MCCARTHY C T,MCCARTHY M A,STANLEY W F,et al.Experiences with modeling friction in composite bolted joints[J].Journal of Composite Materials,2005,39:1881-1908.
[20]CHRISTENSEN R M.Tensor transformations and failure criteria for the analysis of fiber composite materials[J],Journal of Composite Materials,1998,22:874-897.
[21]HASHIN Z.Failure criteria for unidirectional fiber composites[J].Journal of Applied Mechanics,1980,47:329-335.
[22]李晨,徐欢欢,古兴瑾.层间混杂复合材料板的拉伸强度预报[J].复合材料学报,2017,34(4):795-800.LI Chen,XU Huanhuan,GU Xingjin.Prediction on tensile strength of inter-ply hybrid composite laminates[J].Acta Materiae Compositae Sinica,2017,34(4):795-800(in Chinese).
[23]SODEN P D,HINTON M J,KADDOUR A S.Biaxial test results for strength and deformation of a range of e-glass and carbon fibre reinforced composite laminates:Failure exercise benchmark data[J].Composite Science and Technology,2002,62:1489-1514.
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