基于桥联模型预测层合板分层萌生载荷
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摘要
层合板本质上由基体树脂将单层板粘在一起,其分层萌生必然从基体树脂破坏开始。基于此,通过分析基体树脂的破坏来预测层合板的分层萌生载荷,通过有限元计算出轴向拉伸载荷下层合板的应力场,沿厚度方向平均来消除自由边缘处层间应力的奇异性,之后根据桥联模型计算纤维和基体树脂应力,并用Mohr判据来判断基体树脂是否破坏。预测了T800/914层合板[±θn]s的分层萌生载荷,与实验结果吻合良好;本工作的最大优点是只需组分材料的性能即可预测层合板的分层萌生载荷。
The laminate is essentially bonded together to form the individual laminate by the matrix, any delamination of the laminate must be initiated from a matrix failure. Based on this viewpoint, the initiation of laminate delamination was predicted through analyzing the stresses of the matrix. A three-dimensional finite element method is used to calculate the stress field of a symmetrically laminated plate under an axial load. A convergence study was performed and an average stress method was proposed to solve the singularity problem. Then the internal stresses in the fiber and matrix were determined in terms of the bridging micromechanics model. Finally, a Mohr criterion was used to detect the failure of matrix. T800/914 angle-plied laminates were considered. The results show that this approach is able to correlate reasonably with the available experimental data.
The laminate is essentially bonded together to form the individual laminate by the matrix, any delamination of the laminate must be initiated from a matrix failure. Based on this viewpoint, the initiation of laminate delamination was predicted through analyzing the stresses of the matrix. A three-dimensional finite element method is used to calculate the stress field of a symmetrically laminated plate under an axial load. A convergence study was performed and an average stress method was proposed to solve the singularity problem. Then the internal stresses in the fiber and matrix were determined in terms of the bridging micromechanics model. Finally, a Mohr criterion was used to detect the failure of matrix. T800/914 angle-plied laminates were considered. The results show that this approach is able to correlate reasonably with the available experimental data.
引文
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[20]LIN Y.Role of matrix resin in delamination onset and growth in composite laminates[J].Composites Science&Technology,1988,33(4):257-277.
[21]HUANG Z M,XIN L M.In situ strengths of matrix in a composite[J].Chinese Journal of Theoretical Applied Mechanics,2017,33(1):1-12.
[22]DIAZ A D,CARON J F.Prediction of the onset of mode III delamination in carbon-epoxy laminates[J].Composite Structures,2006,72(4):438-445.
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[24]WANG Y,HUANG Z.A new approach to a bridging tensor[J].Polymer Composites,2015,36(8):1417-1431.
[25]孙训方.材料力学Ⅱ[M].北京:高等教育出版社.2009.
[26]DIAZ A D,CARON J F.Interface plasticity and delamination onset prediction[J].Mechanics of Materials,2006,38(7):648-663.
[2]王雅娜,陈新文,龚愉.复合材料0°/45°层间界面I型、II型和I/II混合型分层实验研究[J].航空材料学报,2018,38(6):83-88.(WANG Y N,CHEN X Y,GONG Y.Experimental Study on Delamination of Composite Laminates with0°/45°Interface under Mode I,Mode II and Mixed-mode I/II Loading[J].Journal of Aeronautical Materials,2018,38(6):83-88.)
[3]谢宗蕻,蔡书杰,郭奇,等.碳纤维增强复合材料层间断裂韧度[J].航空材料学报,2018,38(4):137-142.(XIE Z H,CAI S J,GUO Q,et al.Interfacial fracture toughness of carbon fiber reinforced composites[J].Journal of Aeronautical Materials,2018,38(4):137-142.)
[4]黄啸,黄颐,刘建中.先进铝锂合金层板疲劳裂纹扩展分层行为[J].航空材料学报,2018,38(4):130-136.(HUANG X,HUANG Y,LIU J Z.Delamination behavior of an advanced Al-Li alloy laminate during fatigue crack growth[J].Journal of Aeronautical Materials,2018,38(4):130-136.)
[5]PIPES R B,PAGANO N J.Interlaminar stresses in composite laminates under uniform axial extension[J].Journal of Composite Materials,1970,34(4):234-245.
[6]WISNOM M R,KHAN B,HALLETT S R.Size effects in unnotched tensile strength of unidirectional and quasi-isotropic carbon/epoxy composites[J].Composite Structures,2008,84(1):21-28.
[7]KIM R Y,SONI S R.Experimental and analytical studies on the onset of delamination in laminated composites[J].Journal of Composite Materials,1984,18(1):70-80.
[8]RAMTEKKAR G S,DESAI Y M.On free-edge effect and onset of delamination in FRPC laminates using mixed finite element model[J].Journal of Reinforced Plastics&Composites,2008,28(3):317-341.
[9]SUN C T,ZHOU S G.Failure of quasi-isotropic composite laminates with free edges[J].Journal of Reinforced Plastics&Composites,1988,7(7):515-557.
[10]BREWER J C,LAGACE P A.Quadratic stress criterion for initiation of delamination[J].Journal of Composite Materials,1988,22(12):1141-1155.
[11]LORRIOT T,MARION G,HARRYR,et al.Onset of free-edge delamination in composite laminates under tensile loading[J].Composites Part B:Engineering,2003,34(5):459-471.
[12]LAGUNEGRAND L,LORRIOT T,HARRY R,et al.Initiation of free-edge delamination in composite laminates[J].Composites Science&Technology,2006,37(10):103-136.
[13]WANG A S D.Fracture analysis of interlaminar cracking[M]//Composite Materials Series.[S.l]:Elsevier,1989:69-109.
[14]MARTIN E,LEGUILLON D,CARRERE N.A twofold strength and toughness criterion for the onset of freeedge shear delamination in angle-ply laminates[J].International Journal of Solids&Structures,2010,47(9):1297-1305.
[15]TURON A,DAVILA C G,CAMANHO P P,et al.An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models[J].Engineering Fracture Mechanics,2007,74(10):1665-1682.
[16]UGEN A,ZUBILLAGA L,TURON A,et al.Comparison of cohesive zone models used to predict delamination initiated from free-edges:Validation against experimental results[C]∥Eccm-16TH European Conference on Composite Materials.At Seville,Spain:[s.n.],2014:22-26.
[17]MOHAMMADI B,SALIMI-MAJD D.Investigation of delamination and damage due to free edge effects in composite laminates using cohesive interface elements[J].Engineering Solid Mechanics,2014,2(2):101-118.
[18]VACHON P L,BRAILOVSKI V,TERRIAULT P.Modeling of delamination initiation and propagation in composite laminates under monotonie tensile loading using the progressive damage modeling technique:science and engineering of composite materials[J].Science&Engineering of Composite Materials,2009,16(2):99-114.
[19]RAJUI S,CREWS Jr J H.Interlaminar stress singularities at a straight free edge in composite laminates[J].Computers&Structures,1981,14(1/2):21-28.
[20]LIN Y.Role of matrix resin in delamination onset and growth in composite laminates[J].Composites Science&Technology,1988,33(4):257-277.
[21]HUANG Z M,XIN L M.In situ strengths of matrix in a composite[J].Chinese Journal of Theoretical Applied Mechanics,2017,33(1):1-12.
[22]DIAZ A D,CARON J F.Prediction of the onset of mode III delamination in carbon-epoxy laminates[J].Composite Structures,2006,72(4):438-445.
[23]HUANG Z M,ZHOU Y X.Strength of fibrous composites[M].Hangzhou:Zhejiang University Press,2011.
[24]WANG Y,HUANG Z.A new approach to a bridging tensor[J].Polymer Composites,2015,36(8):1417-1431.
[25]孙训方.材料力学Ⅱ[M].北京:高等教育出版社.2009.
[26]DIAZ A D,CARON J F.Interface plasticity and delamination onset prediction[J].Mechanics of Materials,2006,38(7):648-663.