单向纤维增强聚合物复合材料压缩渐进破坏
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摘要
复合材料结构在承压时破坏如何演化,是其强度破坏分析的基础和核心任务。本文提出了基于连续介质损伤力学(CDM)的单向纤维增强聚合物复合材料压缩破坏渐进损伤分析(PDA)模型。建模中考虑了材料非线性行为、失效判断及损伤演化中材料性能退化等基本问题,分别对应于拉压不对称弹塑性本构关系、Puck准则、LaRC05准则及考虑破坏面方向的刚度退化方法。该模型通过用户材料子程序接口VUMAT引入到有限元软件ABAQUS中实现了有限元求解。对文献中提供的纵向、横向及偏轴压缩案例进行了数值计算并与试验数据对比。数值分析结果与试验数据吻合较好,证明了该方法的合理性和有效性,对开展多向层合板压缩破坏分析富有参考价值。
Failure evolution in composite structures under compression is a fundamental topic and plays a key role in the strength prediction of composites.Herein,aprogressive damage analysis(PDA)model based on continuum damage mechanics(CDM)was proposed to analyze the compression failure of unidirectional fiber reinforced polymer composites.Some essential issues such as the nonlinear behavior of composites,failure judgement,and the degradation of material properties during damage evolution were considered,corresponding respectively to the tension-compression asymmetric elasto-plastic constitutive model,Puck criteria,LaRC05 criteria and a stiffness degradation model considering the direction of fracture plane.The proposed PDA model was implemented in finite element analysis(FEA)by using the interface of user defined materials subroutine(VUMAT)provided by ABAQUS.The result of FEA is in good agreement with the experiment data reported by literatures in the cases of longitudinal,transverse and off-axis compression,which proves the reasonability and effectiveness of this PDA model.This work is of great reference value for compression failure analysis of multidirectional laminates.
Failure evolution in composite structures under compression is a fundamental topic and plays a key role in the strength prediction of composites.Herein,aprogressive damage analysis(PDA)model based on continuum damage mechanics(CDM)was proposed to analyze the compression failure of unidirectional fiber reinforced polymer composites.Some essential issues such as the nonlinear behavior of composites,failure judgement,and the degradation of material properties during damage evolution were considered,corresponding respectively to the tension-compression asymmetric elasto-plastic constitutive model,Puck criteria,LaRC05 criteria and a stiffness degradation model considering the direction of fracture plane.The proposed PDA model was implemented in finite element analysis(FEA)by using the interface of user defined materials subroutine(VUMAT)provided by ABAQUS.The result of FEA is in good agreement with the experiment data reported by literatures in the cases of longitudinal,transverse and off-axis compression,which proves the reasonability and effectiveness of this PDA model.This work is of great reference value for compression failure analysis of multidirectional laminates.
引文
[1]MARTIN Knops.Analysis of failure in fiber polymer laminates:The theory of Alfred Puck[M].Berlin:Springer Science&Business Media,2008.
[2]TSAMPAS S A,GREENHALGH E S,ANKERSEN J,et al.On compressive failure of multidirectional fibre-reinforced composites:A fractographic study[J].Composites Part A:Applied Science&Manufacturing,2012,43(3):454-468.
[3]ZOBEIRY N,VAZIRI R,POURSARTIP A.Characterization of strain-softening behavior and failure mechanisms of composites under tension and compression[J].Composites Part A:Applied Science&Manufacturing,2015,68:29-41.
[4]KAWAI M,SAITO S.Off-axis strength differential effects in unidirectional carbon/epoxy laminates at different strain rates and predictions of associated failure envelopes[J].Composites Part A:Applied Science&Manufacturing,2009,40(10):1632-1649.
[5]KOERBER H,XAVIER J,CAMANHO P P.High strain rate characterisation of unidirectional carbon-epoxy IM7-8552in transverse compression and in-plane shear using digital image correlation[J].Mechanics of Materials,2010,42(11):1004-1019.
[6]PUCK A,SCHURMANN H.Failure analysis of FRP laminates by means of physically based phenomenological models[J].Composites Science&Technology,2002,62(12-13):1633-1662.
[7]ROSEN B W.Mechanics of composite strengthening[C].Fiber Composite Materials,Seminar of the American Society for Materials US:Metals Powk,Ohio,1964.
[8]ARGON A S.Fracture of composites[J].Treatise on Materials Science&Technology,1972,1:79-114.
[9]薛元德,王征颖.璃玻钢压缩强度的分析[J].力学季刊,1981,4:40-49.XUE Yuande,WANG Zhengying.Analysis of GRP compressive strength[J].Chinese Quarterly Mechanics,1981,4:40-49(in Chinese).
[10]BUDIANSKY B.Micromechanics[J].Computers&Structures,1983,16(1):3-12.
[11]魏悦广,杨卫.单向纤维增强复合材料的压缩弹塑性微屈曲[J].航空学报,1992,13(7):388-393.WEI Yueguang,YANG Wei.Elastoplastic compressive microbuckling of unidirectional fiber reinforced composites[J].Acta Aeronautica et Astronautica Sinica,1992,13(7):388-393(in Chinese).
[12]NAYA F,HERRAEZ M,LOPES C S,et al.Computational micromechanics of fiber kinking in unidirectional FRP under different environmental conditions[J].Composites Science&Technology,2017,144:26-35.
[13]BISHARA M,ROLFES R,ALLIX O.Revealing complex aspects of compressive failure of polymer composites:Part I-Fiber kinking at microscale[J].Composite Structures,2017,169:105-115.
[14]PRABHAKAR P,WAAS A M.Interaction between kinking and splitting in the compressive failure of unidirectional fiber reinforced laminated composites[J].Composite Structures,2013,98:85-92.
[15]张弥,关志东,黎增山,et al.考虑纤维初始位错的复合材料轴向压缩性能[J].复合材料学报,2017,34(8):1754-1763.ZHANG Mi,GUAN Zhidong,LI Zengshan,et al.Longitudinal compressive properties of composites considering fiber initial misalignment[J].Acta Materiae Compositae Sinica,2017,34(8):1754-1763(in Chinese).
[16]GONZALEZ C,LLORCA J.Mechanical behavior of unidirectional fiber-reinforced polymers under transverse compression:Microscopic mechanisms and modeling[J].International Journal of Solids&Structures,2007,67(13):2795-2806.
[17]黄争鸣,张若京.复合材料结构受横向载荷作用的强度问题[J].复合材料学报,2005,22(2):148-159.HUANG Zhengming,ZHANG Ruojing.On the ultimate strength of a fiber reinforced composite laminate subjected to lateral loads[J].Acta Materiae Compositae Sinica,2005,22(2):148-159(in Chinese).
[18]彭湃,赵美英,王文智.细观力学模型预测复合材料横向强度性能研究[J].机械科学与技术,2017,36(10):1611-1618.PENG Pai,ZHAO Meiying,WANG Wenzhi.Transverse strength prediction of composite materials via micromechanics model[J].Mechanical Science and Technology for Aerospace Engineering,2017,36(10):1611-1618(in Chinese).
[19]MAIMI P,CAMANHO P P,MAYUGO J A,et al.A continuum damage model for composite laminates:Part II-Computational implementation and validation[J].Mechanics of Materials,2007,39(10):909-919.
[20]CAMANHO P P,BESSA M A,CATALANOTTI G,et al.Modeling the inelastic deformation and fracture of polymer composites:Part II-Smeared crack model[J].Mechanics of Materials,2013,59(6):36-49.
[21]PINHO S,IANNUCCI L,ROBINSON P.Physically based failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking.Part II:FE implementation[J].Composites Part A:Applied Science and Manufacturing,2006,37(5):766-777.
[22]BOGENFELD R,KREIKEMEIER J.A tensorial based progressive damage model for fiber reinforced polymers[J].Composite Structures,2017,168:608-618.
[23]BERGAN A,HERRAEZ M,GONZALEZ C,et al.Development of a mesoscale finite element constitutive model for fiber kinking[J].Proceedings of the Aiaa/asce/ahs/asc Structures,Structural Dynamics,and Materials Conference,2018:1221.
[24]ZHANG D,WAAS A M,YEN C F.Progressive damage and failure response of hybrid 3Dtextile composites subjected to flexural loading.Part II:Mechanics based multiscale computational modeling of progressive damage and failure[J].International Journal of Solids&Structures,2015,75:321-335.
[25]WANG J,XIAO Y.Some improvements on Sun-Chens oneparameter plasticity model for fibrous composites:Part I-Constitutive modelling for tension-compression asymmetry response[J].Journal of Composite Materials,2016,51(3):405-418.
[26]WANG J,XIAO Y,KAWAI M.Parameter identification problem in one-parameter plasticity model for fibrous composites[J].Advanced Composite Materials,2019,28(S2):29-51.
[27]DAVILA C,JAUNKY N,GOSWAMI S.Failure criteria for FRP laminates in plane stress[J].Journal of Composite Materials,2005,39(5):404-408.
[28]PINHO S T,DAVILLA C G,CAMANHO P P,et al.Failure models and criteria for FRP Under in-plane or three-dimensional stress states including shear non-linearity:NASA/TM-2005-213530[R].US:NASA Technical Memorandum,2005.
[29]PINHO S,VYAS G,ROBINSON P.Response and damage propagation of polymer-matrix fibre-reinforced compositesPredictions for WWFE-III:Part A[J].Journal of Composite Materials,2013,47(20-21):2595-2612.
[30]PINHO S T,IANNUCCI L,ROBINSON P.Physicallybased failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking:Part I-Development[J].Composites Part A:Applied Science&Manufacturing,2006,37(1):63-73.
[31]KYRIAKIDES S,ARSECULERATNE R,PERRY E J,et al.On the compressive failure of fiber reinforced composites[J].International Journal of Solids&Structures,1995,32(6-7):689-738.
[32]GUTKIN R,PINHO S T,ROBINSON P,et al.On the transition from shear-driven fibre compressive failure to fibre kinking in notched CFRP laminates under longitudinal compression[J].Composites Science&Technology,2010,70(8):1223-1231.
[33]XIAO Y,ISHIKAWA T.Bearing strength and failure behavior of bolted composite joints:Part I-Experimental investigation[J].Composites Science&Technology,2005,65(7):1022-1031.
[34]WRONSKI A S,PARRY T V.Compressive failure and kinking in uniaxially aligned glass-resin composite under superposed hydrostatic pressure[J].Journal of Materials Science,1982,17(12):3656-3662.
[35]CHABOCHE J L.Le concept de contrainte effective appliquéàl’élasticitéetàla viscoplasticitéen présence d’un endommagement anisotrope[M].Berlin:Springer Netherlands,1982.
[36]PINHO S,VYAS G,ROBINSON P.Material and structural response of polymer-matrix fibre-reinforced composites:Part B[J].Journal of Composite Materials,2013,47(6-7):679-696.
[37]YUN K,WANG Z,RONALD S,et al.An advanced continuum damage mechanics model for predicting the crack progress process based on the consideration of the influence of crack direction under quasi-static load[J].International Journal of Mechanical Sciences,2017,130:487-496.
[38]MATZENMILLER A,LUBLINER J,TAYLOR R L.Aconstitutive model for anisotropic damage in fiber-composites[J].Mechanics of Materials,1995,20(2):125-152.
[39]ABAQUS V.6.14 Documentation[J].Dassault Systemes Simulia Corporation,Providence,2014.
[40]KOERBER H,CAMANHO P P.High strain rate characterisation of unidirectional carbon-epoxy IM7-8552in longitudinal compression[J].Composites Part A:Applied Science&Manufacturing,2011,42(5):462-470.
[41]MORAN P M,LIU X H,SHIH C F.Kink band formation and band broadening in fiber composites under compressive loading[J].Acta Metallurgica et Materialia,1995,43(8):2943-2958.
[42]KADDOUR A,HINTON M.Input data for test cases used in benchmarking triaxial failure theories of composites[J].Journal of Composite Materials,2012,46(19-20):2295-2312.
[43]SHUART M J.Failure of compression-loaded multidirectional composite laminates[J].AIAA Journal,1989,27(9):1274-1279.
[44]LEE J,SOUTIS C.A study on the compressive strength of thick carbon fibre-epoxy laminates[J].Composites Science&Technology,2007,67(10):2015-2026.
[45]MATSUO T,KAGEYAMA K.Compressive failure mechanism and strength of unidirectional thermoplastic composites based on modified kink band model[J].Composites Part A:Applied Science&Manufacturing,2017,93:117-125.
[46]PINHO S T,ROBINSON P,IANNUCCI L.Fracture toughness of the tensile and compressive fibre failure modes in laminated composites[J].Composites Science and Technology,2006,66(13):2069-2079.
[2]TSAMPAS S A,GREENHALGH E S,ANKERSEN J,et al.On compressive failure of multidirectional fibre-reinforced composites:A fractographic study[J].Composites Part A:Applied Science&Manufacturing,2012,43(3):454-468.
[3]ZOBEIRY N,VAZIRI R,POURSARTIP A.Characterization of strain-softening behavior and failure mechanisms of composites under tension and compression[J].Composites Part A:Applied Science&Manufacturing,2015,68:29-41.
[4]KAWAI M,SAITO S.Off-axis strength differential effects in unidirectional carbon/epoxy laminates at different strain rates and predictions of associated failure envelopes[J].Composites Part A:Applied Science&Manufacturing,2009,40(10):1632-1649.
[5]KOERBER H,XAVIER J,CAMANHO P P.High strain rate characterisation of unidirectional carbon-epoxy IM7-8552in transverse compression and in-plane shear using digital image correlation[J].Mechanics of Materials,2010,42(11):1004-1019.
[6]PUCK A,SCHURMANN H.Failure analysis of FRP laminates by means of physically based phenomenological models[J].Composites Science&Technology,2002,62(12-13):1633-1662.
[7]ROSEN B W.Mechanics of composite strengthening[C].Fiber Composite Materials,Seminar of the American Society for Materials US:Metals Powk,Ohio,1964.
[8]ARGON A S.Fracture of composites[J].Treatise on Materials Science&Technology,1972,1:79-114.
[9]薛元德,王征颖.璃玻钢压缩强度的分析[J].力学季刊,1981,4:40-49.XUE Yuande,WANG Zhengying.Analysis of GRP compressive strength[J].Chinese Quarterly Mechanics,1981,4:40-49(in Chinese).
[10]BUDIANSKY B.Micromechanics[J].Computers&Structures,1983,16(1):3-12.
[11]魏悦广,杨卫.单向纤维增强复合材料的压缩弹塑性微屈曲[J].航空学报,1992,13(7):388-393.WEI Yueguang,YANG Wei.Elastoplastic compressive microbuckling of unidirectional fiber reinforced composites[J].Acta Aeronautica et Astronautica Sinica,1992,13(7):388-393(in Chinese).
[12]NAYA F,HERRAEZ M,LOPES C S,et al.Computational micromechanics of fiber kinking in unidirectional FRP under different environmental conditions[J].Composites Science&Technology,2017,144:26-35.
[13]BISHARA M,ROLFES R,ALLIX O.Revealing complex aspects of compressive failure of polymer composites:Part I-Fiber kinking at microscale[J].Composite Structures,2017,169:105-115.
[14]PRABHAKAR P,WAAS A M.Interaction between kinking and splitting in the compressive failure of unidirectional fiber reinforced laminated composites[J].Composite Structures,2013,98:85-92.
[15]张弥,关志东,黎增山,et al.考虑纤维初始位错的复合材料轴向压缩性能[J].复合材料学报,2017,34(8):1754-1763.ZHANG Mi,GUAN Zhidong,LI Zengshan,et al.Longitudinal compressive properties of composites considering fiber initial misalignment[J].Acta Materiae Compositae Sinica,2017,34(8):1754-1763(in Chinese).
[16]GONZALEZ C,LLORCA J.Mechanical behavior of unidirectional fiber-reinforced polymers under transverse compression:Microscopic mechanisms and modeling[J].International Journal of Solids&Structures,2007,67(13):2795-2806.
[17]黄争鸣,张若京.复合材料结构受横向载荷作用的强度问题[J].复合材料学报,2005,22(2):148-159.HUANG Zhengming,ZHANG Ruojing.On the ultimate strength of a fiber reinforced composite laminate subjected to lateral loads[J].Acta Materiae Compositae Sinica,2005,22(2):148-159(in Chinese).
[18]彭湃,赵美英,王文智.细观力学模型预测复合材料横向强度性能研究[J].机械科学与技术,2017,36(10):1611-1618.PENG Pai,ZHAO Meiying,WANG Wenzhi.Transverse strength prediction of composite materials via micromechanics model[J].Mechanical Science and Technology for Aerospace Engineering,2017,36(10):1611-1618(in Chinese).
[19]MAIMI P,CAMANHO P P,MAYUGO J A,et al.A continuum damage model for composite laminates:Part II-Computational implementation and validation[J].Mechanics of Materials,2007,39(10):909-919.
[20]CAMANHO P P,BESSA M A,CATALANOTTI G,et al.Modeling the inelastic deformation and fracture of polymer composites:Part II-Smeared crack model[J].Mechanics of Materials,2013,59(6):36-49.
[21]PINHO S,IANNUCCI L,ROBINSON P.Physically based failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking.Part II:FE implementation[J].Composites Part A:Applied Science and Manufacturing,2006,37(5):766-777.
[22]BOGENFELD R,KREIKEMEIER J.A tensorial based progressive damage model for fiber reinforced polymers[J].Composite Structures,2017,168:608-618.
[23]BERGAN A,HERRAEZ M,GONZALEZ C,et al.Development of a mesoscale finite element constitutive model for fiber kinking[J].Proceedings of the Aiaa/asce/ahs/asc Structures,Structural Dynamics,and Materials Conference,2018:1221.
[24]ZHANG D,WAAS A M,YEN C F.Progressive damage and failure response of hybrid 3Dtextile composites subjected to flexural loading.Part II:Mechanics based multiscale computational modeling of progressive damage and failure[J].International Journal of Solids&Structures,2015,75:321-335.
[25]WANG J,XIAO Y.Some improvements on Sun-Chens oneparameter plasticity model for fibrous composites:Part I-Constitutive modelling for tension-compression asymmetry response[J].Journal of Composite Materials,2016,51(3):405-418.
[26]WANG J,XIAO Y,KAWAI M.Parameter identification problem in one-parameter plasticity model for fibrous composites[J].Advanced Composite Materials,2019,28(S2):29-51.
[27]DAVILA C,JAUNKY N,GOSWAMI S.Failure criteria for FRP laminates in plane stress[J].Journal of Composite Materials,2005,39(5):404-408.
[28]PINHO S T,DAVILLA C G,CAMANHO P P,et al.Failure models and criteria for FRP Under in-plane or three-dimensional stress states including shear non-linearity:NASA/TM-2005-213530[R].US:NASA Technical Memorandum,2005.
[29]PINHO S,VYAS G,ROBINSON P.Response and damage propagation of polymer-matrix fibre-reinforced compositesPredictions for WWFE-III:Part A[J].Journal of Composite Materials,2013,47(20-21):2595-2612.
[30]PINHO S T,IANNUCCI L,ROBINSON P.Physicallybased failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking:Part I-Development[J].Composites Part A:Applied Science&Manufacturing,2006,37(1):63-73.
[31]KYRIAKIDES S,ARSECULERATNE R,PERRY E J,et al.On the compressive failure of fiber reinforced composites[J].International Journal of Solids&Structures,1995,32(6-7):689-738.
[32]GUTKIN R,PINHO S T,ROBINSON P,et al.On the transition from shear-driven fibre compressive failure to fibre kinking in notched CFRP laminates under longitudinal compression[J].Composites Science&Technology,2010,70(8):1223-1231.
[33]XIAO Y,ISHIKAWA T.Bearing strength and failure behavior of bolted composite joints:Part I-Experimental investigation[J].Composites Science&Technology,2005,65(7):1022-1031.
[34]WRONSKI A S,PARRY T V.Compressive failure and kinking in uniaxially aligned glass-resin composite under superposed hydrostatic pressure[J].Journal of Materials Science,1982,17(12):3656-3662.
[35]CHABOCHE J L.Le concept de contrainte effective appliquéàl’élasticitéetàla viscoplasticitéen présence d’un endommagement anisotrope[M].Berlin:Springer Netherlands,1982.
[36]PINHO S,VYAS G,ROBINSON P.Material and structural response of polymer-matrix fibre-reinforced composites:Part B[J].Journal of Composite Materials,2013,47(6-7):679-696.
[37]YUN K,WANG Z,RONALD S,et al.An advanced continuum damage mechanics model for predicting the crack progress process based on the consideration of the influence of crack direction under quasi-static load[J].International Journal of Mechanical Sciences,2017,130:487-496.
[38]MATZENMILLER A,LUBLINER J,TAYLOR R L.Aconstitutive model for anisotropic damage in fiber-composites[J].Mechanics of Materials,1995,20(2):125-152.
[39]ABAQUS V.6.14 Documentation[J].Dassault Systemes Simulia Corporation,Providence,2014.
[40]KOERBER H,CAMANHO P P.High strain rate characterisation of unidirectional carbon-epoxy IM7-8552in longitudinal compression[J].Composites Part A:Applied Science&Manufacturing,2011,42(5):462-470.
[41]MORAN P M,LIU X H,SHIH C F.Kink band formation and band broadening in fiber composites under compressive loading[J].Acta Metallurgica et Materialia,1995,43(8):2943-2958.
[42]KADDOUR A,HINTON M.Input data for test cases used in benchmarking triaxial failure theories of composites[J].Journal of Composite Materials,2012,46(19-20):2295-2312.
[43]SHUART M J.Failure of compression-loaded multidirectional composite laminates[J].AIAA Journal,1989,27(9):1274-1279.
[44]LEE J,SOUTIS C.A study on the compressive strength of thick carbon fibre-epoxy laminates[J].Composites Science&Technology,2007,67(10):2015-2026.
[45]MATSUO T,KAGEYAMA K.Compressive failure mechanism and strength of unidirectional thermoplastic composites based on modified kink band model[J].Composites Part A:Applied Science&Manufacturing,2017,93:117-125.
[46]PINHO S T,ROBINSON P,IANNUCCI L.Fracture toughness of the tensile and compressive fibre failure modes in laminated composites[J].Composites Science and Technology,2006,66(13):2069-2079.