层合板厚度对桥接和层间断裂韧性影响的研究

兰州理工大学学报 ›› 2022, Vol. 48 ›› Issue (4): 43-48.

层合板厚度对桥接和层间断裂韧性影响的研究

张永贵^*, 马启文, 刘俭辉

兰州理工大学机电工程学院, 甘肃兰州 730050

收稿日期:2021-07-15 出版日期:2022-08-28 发布日期:2022-10-09
通讯作者: 张永贵(1966-),男,甘肃兰州人,博士,研究员.Email:zhyglut@126.com
基金资助:
国家自然科学基金青年基金(51605212);甘肃省自然科学基金(20JR10RA161)

Study on effect of laminate thickness on bridging and interlaminar fracture toughness

ZHANG Yong-gui, MA Qi-wen, LIU Jian-hui

School of Mechanical and Electrical Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2021-07-15 Online:2022-08-28 Published:2022-10-09

摘要/Abstract

摘要： 复合材料层合板分层扩展行为的准确模拟与分析对层合板结构设计十分重要.针对现有研究未定量描述Ⅰ型层间断裂韧性与层合板厚度之间关系这点不足,借助ABAQUS有限元软件建立平面应变模型,通过对厚度与层数比例的控制,采用迭代方法来确定试样厚度对桥接区牵引分离行为的影响. 同时,考虑内聚力本构关系,利用有限元方法研究厚度为2、4、8 mm的单向碳/环氧复合材料试样层间分层扩展行为.结果表明,层间的稳态断裂韧性随着试样厚度的增加而增加,但初始断裂韧性与厚度无关,进而验证试样厚度对层合板层间断裂韧性的影响,分析结果与实验值有较好的一致性.

关键词: 厚度, 纤维桥接, 复合材料, R曲线, 断裂韧性

Abstract: Accurate simulation and analysis of delamination propagation behavior of composite laminates is extremely significant for the structural design of laminates. In view of the deficiency that the existing research does not quantitatively describe the relationship between mode Ⅰ interlaminar fracture toughness and laminate thickness, a plane strain model was established with the help of ABAQUS finite element software. The iterative method was used to determine the influence of specimen thickness on the traction separation behavior in the bridging zone by controlling the ratio of the thickness to the layer number. At the same time, considering the cohesive constitutive relationship,when the thickness was 2, 4 and 8 mm,the delamination propagation behavior of unidirectional carbon/epoxy composites was studied by finite element method. The results show that the steady-state fracture toughness become higher with the increase of specimen thickness. However, the initial fracture toughness is independent of specimen thickness. The effect of specimen thickness on interlaminar fracture toughness of laminates is further verified, and the analytical results are in good agreement with the experimental values.

Key words: thickness, fiber bridging, composite materials, R-curve, fracture tenacit

中图分类号:

TH114
TB332

张永贵, 马启文, 刘俭辉. 层合板厚度对桥接和层间断裂韧性影响的研究[J]. 兰州理工大学学报, 2022, 48(4): 43-48.

ZHANG Yong-gui, MA Qi-wen, LIU Jian-hui. Study on effect of laminate thickness on bridging and interlaminar fracture toughness[J]. Journal of Lanzhou University of Technology, 2022, 48(4): 43-48.

参考文献

[1] ZHAO L B,YU G,QIN T L,et al.Failure prediction of out-of-plane woven composite joints using cohesive element [J].Composite Structures,2013,106:407-416.
[2] 田达,傅宏俊,吴利伟,等.增韧复合材料的G_Ⅰ断裂韧性有限元模拟 [J].玻璃钢/复合材料,2018(1):18-22.
[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):141-146.
[4] SUO Z,BAO G,FAN B.Delamination R-curve phenomena due to damage [J].Journal of the Mechanics and Physics of Solids,1992,40(1):1-16.
[5] 赵玉卿,姜峰,黄争鸣.纤维复合材料层合板在四点弯曲载荷下的损伤分析 [J].复合材料科学与工程,2020,313(2):10-18.
[6] 尹世豪,张建宇,龚愉,等.新型三线性本构内聚力模型的界面参数研究 [J].重庆大学学报,2020,43(2):91-99.
[7] PENG L,ZHANG J Y,ZHAO L B,et al.Mode Ⅰ delamination growth of multidirectional composite laminates under fatigue loading [J].Journal of Composite Materials,2011,45(10):1077-1090.
[8] BIN MOHAMED REHAN M S,ROUSSEAU J,FONTAINE S,et al.Experimental study of the influence of ply orientation on DCB mode-Ⅰ delamination behavior by using multidirectional fully isotropic carbon/epoxy laminates [J].Composite Structures,2017,161:1-7.
[9] TAMUZS V,TARASOVS S,VILKS U.Progressive delamination and fiber bridging modeling in double cantilever beam composite specimens [J].Engineering Fracture Mechanics,2001,68(5):513-525.
[10] FROSSARD G,CUGNONI J,GMUR T,et al.Mode Ⅰ interlaminar fracture of carbon epoxy laminates:Effects of ply thickness [J].Composites Part A Applied science and manufacturing,2016,91:1-8.
[11] SORENSEN L,BOTSIS J,GMUER T,et al.Bridging tractions in mode I delamination:Measurements and simulations [J].Composites Science and Technology,2008,68(12):2350-2358.
[12] STUTZ S,CUGNONI J,BOTSIS J.Crack-fiber sensor interaction and characterization of the bridging tractions in mode I delamination [J].Engineering Fracture Mechanics,2011,78(6):890-900.
[13] 于志成,矫桂琼,寇长河,等.碳纤维复合材料层合板Ⅰ型层间断裂韧性G_ⅠC试验方法:HB 7402-1996 [S].北京:中国航空工业总公司,1997.
[14] MOHAMED REHAN M S,ROUSSEAU J,GONG X J,et al.Effects of fiber orientation of adjacent plies on the mode I crack propagation in a carbon-epoxy laminates [J].Procedia Engineering,2011,10:3179-3184.
[15] 赵丽滨,徐吉峰.先进复合材料连接结构分析方法 [M].北京:航空航天大学出版社,2015.
[16] 赵丽滨,龚愉,张建宇.纤维增强复合材料层合板分层扩展行为研究进展 [J].航空学报,2019,40(1):166-194.
[17] SHOKRIEH M M,ZEINEDINI A,GHOREISHI S M.On the mixed mode Ⅰ/Ⅱ delamination R-curve of E-glass/epoxy laminated composites [J].Composite Structures,2017,171:19-31.
[18] FARMAND-ASHTIANI E,CUGNONI J,BOTSIS J.Specimen thickness dependence of large scale fiber bridging in mode I interlaminar fracture of carbon epoxy composite [J].International Journal of Solids and Structures,2015,55:58-65.