2.5D浅交弯联机织复合材料压缩性能研究
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摘要
根据纤维单丝的分布假设建立了纤维束几何模型,通过观察2.5维(2.5D)浅交弯联织物成型后内部浸渍纤维束的截面和走向建立了织物结构几何模型。为了分析的便捷性,对纤维束几何模型和织物结构几何模型分别选取了可重复代表性单元。然后通过利用自定义程序(UMAT)定义了每个单元的材料属性和方向;嵌入周期性边界条件保证了单元边界面的应力连续和位移连续;基于改进的损伤准则和刚度折减模型进行了渐进损伤分析;通过实验研究和有限元分析深入了解了该材料的初始弹性模量和最终压缩强度、损伤机制等,并发现经向压缩并未明显表现出脆性破坏。
In this work,a fiber bundle geometry model was established on the basis of the distribution of fiber monofilament. The geometric model of fabric structure was also established by observing the cross section and orientation of the inner impregnated fiber bundle within 2.5 D shallow-crossing bending fabrics. For the convenience of analysis, some repeatable representative units were selected for the fiber bundle and fabric structure geometry models. The characteristic properties of material and the directions of each element were defined by using a custom program(UMAT), and the embedded periodic boundary conditions ensured the continuous stress and displacement at the boundary surface of the element. A damage analysis was conducted in the gradual progress based on an improved damage criterion and stiffness reduction model. The initial elastic modulus, final compressive strength and damage mechanism of the material were deeply understood through the experimental research and finite element analysis, and the warp compression was found to show no brittle failure.
In this work,a fiber bundle geometry model was established on the basis of the distribution of fiber monofilament. The geometric model of fabric structure was also established by observing the cross section and orientation of the inner impregnated fiber bundle within 2.5 D shallow-crossing bending fabrics. For the convenience of analysis, some repeatable representative units were selected for the fiber bundle and fabric structure geometry models. The characteristic properties of material and the directions of each element were defined by using a custom program(UMAT), and the embedded periodic boundary conditions ensured the continuous stress and displacement at the boundary surface of the element. A damage analysis was conducted in the gradual progress based on an improved damage criterion and stiffness reduction model. The initial elastic modulus, final compressive strength and damage mechanism of the material were deeply understood through the experimental research and finite element analysis, and the warp compression was found to show no brittle failure.
引文
[1] 郑君,温卫东,崔海涛,等.2.5维机织结构复合材料的几何模型[J].复合材料学报,2008,25(2):143-148.ZHENG J,WEN W D,CUI H T,et al.Geometric Model of 2.5-dimensional Woven Structural Composites[J].Journal of Composites,2008,25(2):143-148.
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[6] LU Z,ZHOU Y,YANG Z,et al.Multi-scale Finite Element Analysis of 2.5D Woven Fabric Composites Under On-axis and Off-axis Tension[J].Computational Materials Science,2013,79:485-494.
[7] 张芳芳,刘才.三维编织复合材料渐进损伤及拉伸强度数值预测[J].中国机械工程,2014,25(3):321-326.ZHANG F F,LIU C.Numerical Prediction of Progressive Damage and Tensile Strength of 3D Braided Composites[J].China Mechanical Engineering,2014,25(3):321-326.
[8] 邱睿,温卫东,崔海涛.基于细观结构的2.5维机织复合材料强度预测模型[J].复合材料学报,2014,31(3):788-796.QIU R,WEN W D,CUI H T.Strength Prediction Model of 2.5-dimensional Woven Composites Based on Microstructure[J].Journal of Composites,2014,31(3):788-796.
[9] 卢子兴,周原,冯志海,等.2.5D机织复合材料压缩性能实验与数值模拟[J].复合材料学报,2015,32(1):150-159.LU Z X,ZHOU Y,FENG Z H,et al.Compression Properties of 2.5D Woven Composites and Numerical Si-mulation[J].Journal of Composites,2015,32(1):150-159.
[10] 季乐,周光明,王新峰,等.基于Puck准则的2.5D机织复合材料压缩性能研究[J].航空计算技术,2016,46(1):23-26.JI L,ZHOU G M,WANG X F,et al.Study on Compression Properties of 2.5D Woven Composites Based on Puck Criterion[J].Aeronautical Computing Technology,2016,46(1):23-26.
[11] KIM J,SHIOYA M,KOBAYASHI H,et al.Mechanical Properties of Woven Laminates and Felt Composites Using Carbon Fibers.Part 2:Interlaminar Properties[J].Composites Science and Technology,2004,64(13/14):2 231-2 238.
[12] 高建辉.三维机织复合材料结构振动分析技术研究[D].南京:南京航空航天大学,2006.
[13] HALLAL A,YOUNES R,FARDOUN F,et al.Improved Analytical Model to Predict the Effective Elastic Properties of 2.5D Interlock Woven Fabrics Composite[J].Composite Structures,2012,94(10):3 009-3 028.
[14] 仲苏洋.三维机织复合材料损伤演化与失效行为研究[D].哈尔滨:哈尔滨工业大学,2015.
[15] KUSHCH V I,SHMEGERA S V,JR L M.Meso Cell Model of Fiber Reinforced Composite:Interface Stress Statistics and Debonding Paths[J].International Journal of Solids & Structures,2008,45(9):2 758-2 784.
[16] 王新峰,周光明,周储伟,等.基于周期性边界条件的机织复合材料多尺度分析[J].南京航空航天大学学报,2005,37(6):730-735.WANG X F,ZHOU G M,ZHOU C W,et al.Multi-scale Analysis of Woven Composites Based on Periodic Boundary Conditions[J].Journal of Nanjing University of Aeronautics and Astronautics,2005,37(6):730-735.
[17] VANDEURZEN P H,IVENS J,VERPOEST I.A Three-dimensional Microme-chanical Analysis of Woven-fabric Composites:I.Geometric Analysis[J].Composites Science and Technology,1996,56(11):913-925.
[18] Suquet P.Elements of Homogenization Theory for Inelastic Solid Mechanics[C]//Sanchez-Palencia E,Zaoui A.Homogenization Techniques for Composite Media.Berlin:Springer-Verlag,1985:194-275.
[19] JI X,KHATRI A M,CHIA E S,et al.Multi-scale Simu-lation and Finite-element-assisted Computation of Elastic Properties of Braided Textile Reinforced Compo-sites[J].Journal of Composite Materials,2014,48(8):931-949.
[20] 易洪雷,丁辛.多层机织物增强复合材料的拉伸与剪切性能研究[J].玻璃钢/复合材料,1997 (2):13-18.YI H L,DING X.Tensile and Shear Properties of Multilayer Woven Fabric Reinforced Composites[J].Fiber Reinforced Plastics/Composites,1997(2):13-18.
[21] GREEN S D,MATVEEV M Y,LONG A C,et al.Mechanical Modelling of 3D Woven Composites Considering Realistic Unit Cell Geometry[J].Composite Structures,2014,118(1):284-293.
[22] GREEN S D,LONG A C,SAID B S F E,et al.Numerical Modelling of 3D Woven Preform Deformations[J].Composite Structures,2014,108(1):747-756.
[23] 杨连贺,邱冠雄,黄故.任意结构三维机织复合材料弹性性能的计算机模拟[J].复合材料学报,2000,17(2):79-83.YANG L H,QIU G X,HUANG G.Computer Simulation of Elastic Properties of 3D Woven Composites with Arbitrary Structure[J].Journal of Composites,2000,17(2):79-83.
[24] ABAQUS Inc.ABAQUS/Explicit Version 6.10,Analysis User ’s Manual[M].Rhode Island:Hibbit,Karlsson and Sorensen Inc,2010.
[25] 庄茁,由小川,廖剑晖,等.基于 ABAQUS 的有限元分析和应用[M].北京:清华大学出版社,2009.
[26] 刘伟先,周光明,高军,等.考虑剪切非线性影响的复合材料连续损伤模型及损伤参数识别[J].复合材料学报,2013,30(6) :221-226.LIU W X,ZHOU G M,GAO J,et al.Continuous Damage Model and Damage Parameter Identification of Composite Materials Considering Shear Nonlinearity[J].Journal of Composites,2013,30(6) :221-226.
[2] 张立泉,朱梦蝶,戚晓强,等.层与层间浅交联2.5D结构对其复合材料经向拉伸强度的影响[J].玻璃纤维,2002(6):6-9.ZHANG L Q,ZHU M D,QI X Q,et al.Effect of 2.5D Structure of Shallow Cross-linking Between Layers on the Tensile Strength of Composites[J].Fiber Glass,2002(6):6-9.
[3] 董伟锋,肖军,李勇,等.2.5维编织复合材料弹性性能的理论研究[J].南京航空航天大学学报,2005,37(5):659-663.DONG W F,XIAO J,LI Y,et al.Theoretical Study on Elastic Properties of 2.5-dimensional Braided Composites[J].Journal of Nanjing University of Aeronautics and Astronautics,2005,37(5):659-663.
[4] 曹海建,钱坤,盛东晓.2.5维机织复合材料的几何结构模型与验证[J].纺织学报,2009,30(5):58-62.CAO H J,QIAN K,SHENG D X.Geometric Structure Model and Verification of 2.5D Woven Composites[J].Journal of Textile Science,2009,30(5):58-62.
[5] 杨彩云,李嘉禄.三维机织复合材料力学性能的各向异性[J].复合材料学报,2006,23(2):59-64.YANG C Y,LI J L.Anisotropy of Mechanical Properties of 3D Woven Composites[J].Journal of Composites,2006,23(2):59-64.
[6] LU Z,ZHOU Y,YANG Z,et al.Multi-scale Finite Element Analysis of 2.5D Woven Fabric Composites Under On-axis and Off-axis Tension[J].Computational Materials Science,2013,79:485-494.
[7] 张芳芳,刘才.三维编织复合材料渐进损伤及拉伸强度数值预测[J].中国机械工程,2014,25(3):321-326.ZHANG F F,LIU C.Numerical Prediction of Progressive Damage and Tensile Strength of 3D Braided Composites[J].China Mechanical Engineering,2014,25(3):321-326.
[8] 邱睿,温卫东,崔海涛.基于细观结构的2.5维机织复合材料强度预测模型[J].复合材料学报,2014,31(3):788-796.QIU R,WEN W D,CUI H T.Strength Prediction Model of 2.5-dimensional Woven Composites Based on Microstructure[J].Journal of Composites,2014,31(3):788-796.
[9] 卢子兴,周原,冯志海,等.2.5D机织复合材料压缩性能实验与数值模拟[J].复合材料学报,2015,32(1):150-159.LU Z X,ZHOU Y,FENG Z H,et al.Compression Properties of 2.5D Woven Composites and Numerical Si-mulation[J].Journal of Composites,2015,32(1):150-159.
[10] 季乐,周光明,王新峰,等.基于Puck准则的2.5D机织复合材料压缩性能研究[J].航空计算技术,2016,46(1):23-26.JI L,ZHOU G M,WANG X F,et al.Study on Compression Properties of 2.5D Woven Composites Based on Puck Criterion[J].Aeronautical Computing Technology,2016,46(1):23-26.
[11] KIM J,SHIOYA M,KOBAYASHI H,et al.Mechanical Properties of Woven Laminates and Felt Composites Using Carbon Fibers.Part 2:Interlaminar Properties[J].Composites Science and Technology,2004,64(13/14):2 231-2 238.
[12] 高建辉.三维机织复合材料结构振动分析技术研究[D].南京:南京航空航天大学,2006.
[13] HALLAL A,YOUNES R,FARDOUN F,et al.Improved Analytical Model to Predict the Effective Elastic Properties of 2.5D Interlock Woven Fabrics Composite[J].Composite Structures,2012,94(10):3 009-3 028.
[14] 仲苏洋.三维机织复合材料损伤演化与失效行为研究[D].哈尔滨:哈尔滨工业大学,2015.
[15] KUSHCH V I,SHMEGERA S V,JR L M.Meso Cell Model of Fiber Reinforced Composite:Interface Stress Statistics and Debonding Paths[J].International Journal of Solids & Structures,2008,45(9):2 758-2 784.
[16] 王新峰,周光明,周储伟,等.基于周期性边界条件的机织复合材料多尺度分析[J].南京航空航天大学学报,2005,37(6):730-735.WANG X F,ZHOU G M,ZHOU C W,et al.Multi-scale Analysis of Woven Composites Based on Periodic Boundary Conditions[J].Journal of Nanjing University of Aeronautics and Astronautics,2005,37(6):730-735.
[17] VANDEURZEN P H,IVENS J,VERPOEST I.A Three-dimensional Microme-chanical Analysis of Woven-fabric Composites:I.Geometric Analysis[J].Composites Science and Technology,1996,56(11):913-925.
[18] Suquet P.Elements of Homogenization Theory for Inelastic Solid Mechanics[C]//Sanchez-Palencia E,Zaoui A.Homogenization Techniques for Composite Media.Berlin:Springer-Verlag,1985:194-275.
[19] JI X,KHATRI A M,CHIA E S,et al.Multi-scale Simu-lation and Finite-element-assisted Computation of Elastic Properties of Braided Textile Reinforced Compo-sites[J].Journal of Composite Materials,2014,48(8):931-949.
[20] 易洪雷,丁辛.多层机织物增强复合材料的拉伸与剪切性能研究[J].玻璃钢/复合材料,1997 (2):13-18.YI H L,DING X.Tensile and Shear Properties of Multilayer Woven Fabric Reinforced Composites[J].Fiber Reinforced Plastics/Composites,1997(2):13-18.
[21] GREEN S D,MATVEEV M Y,LONG A C,et al.Mechanical Modelling of 3D Woven Composites Considering Realistic Unit Cell Geometry[J].Composite Structures,2014,118(1):284-293.
[22] GREEN S D,LONG A C,SAID B S F E,et al.Numerical Modelling of 3D Woven Preform Deformations[J].Composite Structures,2014,108(1):747-756.
[23] 杨连贺,邱冠雄,黄故.任意结构三维机织复合材料弹性性能的计算机模拟[J].复合材料学报,2000,17(2):79-83.YANG L H,QIU G X,HUANG G.Computer Simulation of Elastic Properties of 3D Woven Composites with Arbitrary Structure[J].Journal of Composites,2000,17(2):79-83.
[24] ABAQUS Inc.ABAQUS/Explicit Version 6.10,Analysis User ’s Manual[M].Rhode Island:Hibbit,Karlsson and Sorensen Inc,2010.
[25] 庄茁,由小川,廖剑晖,等.基于 ABAQUS 的有限元分析和应用[M].北京:清华大学出版社,2009.
[26] 刘伟先,周光明,高军,等.考虑剪切非线性影响的复合材料连续损伤模型及损伤参数识别[J].复合材料学报,2013,30(6) :221-226.LIU W X,ZHOU G M,GAO J,et al.Continuous Damage Model and Damage Parameter Identification of Composite Materials Considering Shear Nonlinearity[J].Journal of Composites,2013,30(6) :221-226.
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