二维三轴编织复合材料压缩失效行为的细观有限元模拟
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摘要
为研究典型二维三轴编织复合材料(2DTBC)的压缩破坏机理,建立了细观有限元模拟方法体系。提出了反映编织复合材料真实几何特性的单胞模型建模策略,根据Murakami-Ohno损伤理论建立了各向异性损伤模型来模拟纤维束中的损伤起始和扩展行为,通过引入波动系数描述了纤维束的起伏状态,并采用内聚力单元来模拟界面分层。在此基础上,分析得到了二维三轴编织复合材料在压缩载荷下的破坏过程,研究了压缩载荷下纤维束和界面层的损伤演化,探讨了纤维束波动对压缩性能的影响规律。通过与相关试验结果对比,该模型能够准确预测二维三轴编织复合材料在面内压缩载荷下的力学响应和主要失效行为,以及自由边效应。细观失效过程分析结果表明,二维三轴编织复合材料轴向压缩的破坏是由轴向纤维束的纤维压缩失效主导的;横向压缩破坏则是由偏轴纤维束的纤维压缩失效引起的。
A meso-scale finite element model is developed to predict the progressive damage behavior of the two-Dimensional Triaxially Braided Composite(2DTBC)subjected to compressive loading conditions.A unit cell model that reflects the realistic geometrical properties of the braided composite is established.Based on Murakami-Ohno damage theory,an anisotropic damage model is established to simulate the damage initiation and the propagation process in fiber bundles.Undulation coefficient is introduced to describe the extent of undulation.The interfaces are simulated using the cohesive element model.The compressive damage process of 2DTBC is systematically illustrated and analyzed using the meso-scale finite element model,with special focus on the damage evolution process of fiber bundles and interfaces,and the effect of fiber bundle undulation on the effective compressive properties.The proposed model shows excellent correlation with the experimental results,not only capturing the global stress-strain responses,but also capturing the progressive damage behavior and the freeedge effect of the composite.The results indicate that the axial compression failure of the 2DTBC is dominated by the fibercompression failure of axial fiber bundles,and the transverse compression failure is caused by the fiber-compression failure of bias fiber bundles.
A meso-scale finite element model is developed to predict the progressive damage behavior of the two-Dimensional Triaxially Braided Composite(2DTBC)subjected to compressive loading conditions.A unit cell model that reflects the realistic geometrical properties of the braided composite is established.Based on Murakami-Ohno damage theory,an anisotropic damage model is established to simulate the damage initiation and the propagation process in fiber bundles.Undulation coefficient is introduced to describe the extent of undulation.The interfaces are simulated using the cohesive element model.The compressive damage process of 2DTBC is systematically illustrated and analyzed using the meso-scale finite element model,with special focus on the damage evolution process of fiber bundles and interfaces,and the effect of fiber bundle undulation on the effective compressive properties.The proposed model shows excellent correlation with the experimental results,not only capturing the global stress-strain responses,but also capturing the progressive damage behavior and the freeedge effect of the composite.The results indicate that the axial compression failure of the 2DTBC is dominated by the fibercompression failure of axial fiber bundles,and the transverse compression failure is caused by the fiber-compression failure of bias fiber bundles.
引文
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[27]芦冠达,黄争鸣.应用桥联理论与有限元模型的航空复合材料结构失效分析[J].航空学报,2018,39(6):221646.LU G D,HUANG Z M.Failure analysis of aeronautic composite structures incorporated with bridging model and FE model[J].Acta Aeronautica et Astronautica Sinica,2018,39(6):221646.
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[2]MCGREGOR C,VAZIRI R,XIAO X R.Finite element modelling of the progressive crushing of braided composite tubes under axial impact[J].International Journal of Impact Engineering,2010,37(6):662-672.
[3]SHI D H,XIAO X R.A new shell-beam element modeling method and its use in crash simulation of triaxial braided composites[J].Composite Structures,2017,160:792-803.
[4]LITTELL J.The experimental and analytical characterization of the macromechanical response for triaxial braided composite materials[D].Akron,OH:The University of Akron,2008:7-174.
[5]KOHLMAN L W.Evaluation of test methods for triaxial braid composites and the development of a large multiaxial test frame for validation using braided tube specimens[D].Akron,OH:The University of Akron,2012:18-123.
[6]WEHRKAMP-RICHTER T,DE CARVALHO N V,PINHO S T.A meso-scale simulation framework for predicting the mechanical response of triaxial braided composites[J].Composites Part A:Applied Science and Manufacturing,2018,107:489-506.
[7]QUEK S C,WAAS A M,SHAHWAN K W,et al.Compressive response and failure of braided textile composites:Part 1-Experiments[J].International Journal of NonLinear Mechanics,2004,39(4):635-648.
[8]CHENG J.Material modeling of strain rate dependent polymer and 2Dtri-axially braided composites[D].Akron,OH:The University of Akron,2006:45-62.
[9]LI X T,BINIENDA W K,LITTELL J D.Methodology for impact modeling of triaxial braided composites using shell elements[J].Journal of Aerospace Engineering,2009,22(3):310-317.
[10]GOLDBERG R K,BLINZLER B J,BINIENDA W K.Investigation of a macromechanical approach to analyzing triaxially-braided polymer composites[J].AIAA Journal,2011,49(1):205-215.
[11]GOLDBERG R K,BLINZLER B J,BINIENDA W K.Modification of a macromechanical finite element-based model for impact analysis of triaxially braided composites[J].Journal of Aerospace Engineering,2011,25(3):383-394.
[12]QUEK S C,WAAS A,SHAHWAN K W,et al.Compressive response and failure of braided textile composites:Part 2-Computations[J].International Journal of NonLinear Mechanics,2004,39(4):649-663.
[13]SONG S,WAAS A M,SHAHWAN K W,et al.Braided textile composites under compressive loads:Modeling the response,strength and degradation[J].Composites Science and Technology,2007,67(15-16):3059-3070.
[14]SONG S,WAAS A M,SHAHWAN K W,et al.Compression response of 2Dbraided textile composites:Single cell and multiple cell micromechanics based strength predictions[J].Journal of Composite Materials,2008,42(23):2461-2482.
[15]ZHANG C,LI N,WANG W Z,et al.Progressive damage simulation of triaxially braided composite using a 3Dmeso-scale finite element model[J].Composite Structures,2015,125:104-116.
[16]ZHAO Z Q,DANG H Y,ZHANG C,et al.A multiscale modeling framework for impact damage simulation of triaxially braided composites[J].Composites Part A:Applied Science and Manufacturing,2018,110:113-125.
[17]LI X T,BINIENDA W K,GOLDBERG R K.Finite-element model for failure study of two-dimensional triaxially braided composite[J].Journal of Aerospace Engineering,2010,24(2):170-180.
[18]ZHANG C,BINIENDA W K,GOLDBERG R K.Freeedge effect on the effective stiffness of single-layer triaxially braided composite[J].Composites Science and Technology,2015,107:145-153.
[19]ZHAO Z Q,LIU P,CHEN C Y,et al.Modeling the transverse tensile and compressive failure behavior of triaxially braided composites[J].Composites Science and Technology,2019,172:96-107.
[20]LOMOV S V,IVANOV D S,VERPOEST I,et al.Meso-FE modelling of textile composites:Road map,data flow and algorithms[J].Composites Science and Technology,2007,67(9):1870-1891.
[21]LITTELL J D,RUGGERI C R,GOLDBERG R K,et al.Measurement of epoxy resin tension,compression,and shear stress-strain curves over a wide range of strain rates using small test specimens[J].Journal of Aerospace Engineering,2008,21(3):162-173.
[22]HASHIN Z.Failure criteria for unidirectional fiber composites[J].Journal of Applied Mechanics,1980,47(2):329-334.
[23]HOU J P,PETRINIC N,RUIZ C,et al.Prediction of impact damage in composite plates[J].Composites Science and Technology,2000,60(2):273-281.
[24]BLACKKETTER D M,WALRATH D E,HANSEN AC.Modeling damage in a plain weave fabric-reinforced composite material[J].Journal of Composites,Technology and Research,1993,15(2):136-142.
[25]CHAMIS C C.Simplified composite micromechanics equations for strength,fracture toughness,impact resistance and environmental effects[J].Sampe Quarterly,1984,15:41-55.
[26]HUANG Z M.The mechanical properties of composites reinforced with woven and braided fabrics[J].Composites Science and Technology,2000,60(4):479-498.
[27]芦冠达,黄争鸣.应用桥联理论与有限元模型的航空复合材料结构失效分析[J].航空学报,2018,39(6):221646.LU G D,HUANG Z M.Failure analysis of aeronautic composite structures incorporated with bridging model and FE model[J].Acta Aeronautica et Astronautica Sinica,2018,39(6):221646.
[28]黄争鸣.桥联理论研究的最新进展[J].应用数学和力学,2015,36(6):563-581.HUANG Z M.Latest advancements of the bridging model theory[J].Applied Mathematics and Mechanics,2015,36(6):563-581.
[29]ZHANG C.Multi-scale characterization and failure modeling of carbon/epoxy triaxially braided composite[D].Akron,OH:The University of Akron,2013:101-139.
[30]Dassault Systèmes Simulia Corporation.ABAQUS analysis user’s manual[M].Providence,RI:Dassault Systèmes Simulia Corporation,2014.
[31]CAO Y,FENG Y W,XUE X F,et al.Evaluation of interlaminar stresses in composite laminates with a boltfilled hole using a linear elastic traction-separation description[J].Applied Sciences,2017,7(1):1-15.
[32]SUN W,GUAN Z D,LI Z S,et al.Compressive failure analysis of unidirectional carbon/epoxy composite based on micro-mechanical models[J].Chinese Journal of Aeronautics,2017,30(6):1907-1918.