基于损伤分形维数的树脂基复合材料冲击后压缩强度预测方法

doi:10.19936/j.cnki.2096-8000.20220428.031

复合材料科学与工程 ›› 2023, Vol. 0 ›› Issue (3): 11-17.DOI: 10.19936/j.cnki.2096-8000.20220428.031

基于损伤分形维数的树脂基复合材料冲击后压缩强度预测方法

姜文¹, 樊红星², 姚卫星^3,4, 陈方⁵, 马铭泽⁴

1.航空工业南京机电液压工程研究中心航空机电系统综合航空科技重点实验室,南京 211106;
2.空军装备部驻上海地区军事代表局驻南京地区第三军事代表室,南京 211106;
3.南京航空航天大学飞行器先进设计技术国防重点学科实验室,南京 210016;
4.南京航空航天大学机械结构力学及控制国家重点实验室,南京 210016;
5.上海飞机设计研究院结构强度工程研究所,上海 200120

收稿日期:2022-02-25 出版日期:2023-03-28 发布日期:2023-04-28
作者简介:姜文(1992—),男,博士,工程师,主要从事金属及树脂基复合材料强度和疲劳性能评估方法方面的研究,jiangwen@nuaa.edu.cn。
基金资助:
国家自然科学基金项目(52075244);国家自然科学基金项目(11202098)

Prediction method of compressive strength after impact for fiber reinforced plastic composite based on the fractal dimension of impact damage

JIANG Wen¹, FAN Hongxing², YAO Weixing^3,4, CHEN Fang⁵, MA Mingze⁴

1. Aviation Key Laboratory of Science and Technology on Aero Electromechanical System Integration, Nanjing Engineering Institute of Aircraft Systems, AVIC, Nanjing 211106, China;
2. The Third Military Representative Office in Nanjing, the Military Representative Bereau of the Air Force Equipment Department in Shanghai, Nanjing 210016, China;
3. Key Laboratory of Fundamental Science for National Defense-Advanced Design Technology of Flight Vehicle, NUAA, Nanjing 210016, China;
4. State Key Laboratory of Mechanics and Control of Mechanical Structures, NUAA, Nanjing 210016, China;
5. Institute of Structural Strength, Shanghai Aircraft Design and Research Institute, Shanghai 200120, China

Received:2022-02-25 Online:2023-03-28 Published:2023-04-28

摘要/Abstract

摘要： 复合材料的承载能力对于低速冲击损伤非常敏感,复合材料冲击后压缩强度的预测对其工程应用至关重要。为此本文进行了三种不同铺层的碳纤维/环氧树脂5284RTM/U3160层合板目视可检损伤状态下剩余压缩强度试验。压缩试验前通过C扫获得了不同铺层层合板冲击损伤形貌,并基于分形维数研究了冲击损伤形貌。研究结果表明损伤分形维数越大的试验件冲击后压缩强度越低,据此提出了一种基于冲击损伤形貌分形维数的复合材料冲击后压缩性能预测模型。该方法将冲击损伤形貌等效成分形几何图形——Sierpinski地毯,通过损伤分形维数获得层合板损伤后不再参与承载的面积,进而获得层合板剩余压缩强度。模型预测结果与试验结果吻合较好,且无须冲击能量作为输入参数,工程应用方便。

关键词: 树脂基纤维增强复合材料, 低速冲击, 剩余压缩强度, 分形维数

Abstract: The bearing capacity of fiber reinforced plastic (FRP) composite is very sensitive to low-speed impact damage, so the prediction model of compression after impact (CAI) for FRP composite is vital to its engineering application. Therefore, the residual compressive strength tests of three different kinds of carbon fiber reinforced plastic (CFRP)/5284RTM/U3160 laminates under BVID state were carried out in this paper. The C-scan was used to obtain the impact damage morphologies of different CFRP laminates before compression test, and the impact damage morphologies were studied by the fractal dimension. The results show that the larger the fractal dimension of impact damage morphology, the lower the compression after impact. Based on this discovery, a prediction method of compressive strength after low-speed impact for fiber reinforced plastic composite based on the fractal dimension of impact damage was proposed. In this method, the impact damage morphology was equivalent to the basic fractal geometry (Sierpinski carpet), the non-bearing area of CFRP laminate could be obtained by the fractal theory. Then the residual compressive strength can be calculated by the normalized non-bearing area. The impact energy was not used as input parameter in this method, and the prediction results of the method were in good agreement with the experimental results. Therefore, the CAI prediction method proposed in this paper is convenient for engineering application.

Key words: fiber reinforced plastic composite, low-speed impact, residual compressive strength, fractal dimension

中图分类号:

TB332

姜文, 樊红星, 姚卫星, 陈方, 马铭泽. 基于损伤分形维数的树脂基复合材料冲击后压缩强度预测方法[J]. 复合材料科学与工程, 2023, 0(3): 11-17.

JIANG Wen, FAN Hongxing, YAO Weixing, CHEN Fang, MA Mingze. Prediction method of compressive strength after impact for fiber reinforced plastic composite based on the fractal dimension of impact damage[J]. COMPOSITES SCIENCE AND ENGINEERING, 2023, 0(3): 11-17.

参考文献

[1] 张代军, 邢宇, 包建文, 等. 环氧树脂交联结构对固化动力学的影响[J]. 复合材料科学与工程, 2021(7): 93-98.
[2] 肖剑雄, 周向, 申政. 高速永磁电机转子碳纤维护套张力缠绕仿真分析[J]. 复合材料科学与工程, 2022(1): 68-72.
[3] 梁恒亮, 周洪飞, 陈静. 耐高温聚酰亚胺树脂复合材料固化封装技术研究[J]. 复合材料科学与工程, 2022(1): 112-116.
[4] 葛恩德, 尚艳伟, 刘学术, 等. 装配间隙对复合材料构件弯曲疲劳性能的影响研究[J]. 复合材料科学与工程, 2021(9): 99-106.
[5] TAN W, FALZON B G, CHIU L N S, et al. Predicting low velocity impact damage and Compression-After-Impact (CAI) behaviour of composite laminates[J]. Composites Part A, 2015, 71(4): 212-226.
[6] ABRATE S. Impact on laminated composite materials[J]. Applied Mechanics Reviews, 1991, 44(4): 155-190.
[7] 欧阳俊杰, 王付胜, 孔繁淇, 等. 湿/热环境对环氧树脂复合材料冲击后压缩剩余强度的影响[J]. 复合材料科学与工程, 2021(9): 31-37.
[8] THORSSON S I, SRINGERI S P, WAAS A M, et al. Experimental investigation of composite laminates subject to low-velocity edge-on impact and compression after impact[J]. Composite Structures, 2018, 186(2): 335-346.
[9] RIVALLANT S, BOUVET C, ABDALLAH E A, et al. Experimental analysis of CFRP laminates subjected to compression after impact: The role of impact-induced cracks in failure[J]. Composite Structures, 2014, 111(5): 147-157.
[10] TOPAC O T, GOZLUKLU B, GURSES E, et al. Experimental and computational study of the damage process in CFRP composite beams under low-velocity impact[J]. Composites Part A: Applied Science and Manufacturing, 2017, 92(1): 167-182.
[11] GLISZCZYNSKI A. Numerical and experimental investigations of the low velocity impact in GFRP plates[J]. Composites Part B: Engineering, 2018, 138(1): 181-193.
[12] SUN X C, HALLETT S R. Barely visible impact damage in scaled composite laminates: Experiments and numerical simulations[J]. International Journal of Impact Engineering, 2017, 109(11): 178-195.
[13] ARUMUGAM V, SARAVANAKUMAR K, SANTULLI C. Damage characterization of stiffened glass-epoxy laminates under tensile loading with acoustic emission monitoring[J]. Composites Part B: Engineering, 2018, 147(8): 22-32.
[14] AVVA V S, PADMANABHA H L. Compressive residual strength prediction in fiber-reinforced laminated composites subjected to impact loads[C]//Proceedings of the 6th International Conference on Fracture (ICF6). New Delhi: Elsevier, 1984: 2897-2907.
[15] XIONG Y, POON C, STRAZNICKY P V, et al. A prediction method for the compressive strength of impact damaged composite laminates[J]. Composite Structures, 1995, 30(4): 357-367.
[16] HORTON R, WHITEHEAD R. Damage tolerance of composites: AFWAL-TR-87-3030[S]. Washington: FAA, 1998.
[17] HOSUR M, MURTHY C R, RAMURTHY T. Compression after impact testing of carbon fibre reinforced plastic laminates[J]. Journal of Composites Technology & Research, 1999, 21(2): 51-64.
[18] MAIO L, MONACO E, RICCI F, et al. Simulation of low velocity impact on composite laminates with progressive failure analysis[J]. Composite Structures, 2013, 103(9): 75-85.
[19] LI N, CHEN P. Failure prediction of T-stiffened composite panels subjected to compression after edge impact[J]. Composite Structures, 2017, 162(2): 210-226.
[20] SOTO A, GONZÁLEZ E V, MAIMÍ P, et al. Low velocity impact and compression after impact simulation of thin ply laminates[J]. Composites Part A: Applied Science and Manufacturing, 2018, 109(6): 413-427.
[21] TAN W, FALZON B G, CHIU L N S, et al. Predicting low velocity impact damage and Compression-After-Impact (CAI) behaviour of composite laminates[J]. Composites Part A: Applied Science and Manufacturing, 2015, 71(4): 212-226.
[22] 刘晓军, 战丽, 邹爱玲, 等. 纤维增强复合材料层间增韧技术研究进展[J]. 复合材料科学与工程, 2022(1): 117-128.
[23] FU Y, XIONG J, LUO C, et al. Static mechanical properties of hybrid RTM-made composite Ⅰ-and Π-beams under three-point flexure[J]. Chinese Journal of Aeronautics, 2015, 28(3): 903-913.
[24] CMH-17协调委员会, 汪海, 沈真. 复合材料手册[M]. 上海: 上海交通大学出版社, 2015: 537.
[25] CHEN F, YAO W, JIANG W. Experimental and simulation investigation on BVID and CAI behaviors of CFRP laminates manufactured by RTM technology[J]. Engineering Computations, 2020, 38(5): 2252-2273.
[26] MANDELBROT B B. The fractal geometry of nature[M]. New York: W.H. Freeman and Company, 1983: 109.
[27] ZHANG C, CHEN Y, YAO W. The use of fractal dimensions in the prediction of residual fatigue life of pre-corroded aluminum alloy specimens[J]. International Journal of Fatigue, 2014, 59(3): 282-291.
[28] KOTOWSKI P. Fractal dimension of metallic fracture surface[J]. International Journal of Fracture, 2006, 141(1-2): 269-286.
[29] CHANG Q, CHEN D L, RU H Q, et al. Three-dimensional fractal analysis of fracture surfaces in titanium-iron particulate reinforced hydroxyapatite composites: Relationship between fracture toughness and fractal dimension[J]. Journal of Materials Science, 2011, 46(18): 6118-6123.
[30] MOLENT L, SPAGNOLI A, CARPINTERI A, et al. Using the lead crack concept and fractal geometry for fatigue lifing of metallic structural components[J]. International Journal of Fatigue, 2017, 102(1): 214-220.
[31] JIANG W, YAO W, QI W, et al. Study on the fractal dimension and evolution of matrix crack in cross-ply GFRP laminates[J]. Theoretical and Applied Fracture Mechanics, 2020, 107(6): 102478.
[32] ZHOU A, FAN Y, CHENG W, et al. A fractal model to interpret porosity-dependent hydraulic properties for unsaturated soils[J]. Advances in Civil Engineering, 2019, 2019(1): 1-13.

基于损伤分形维数的树脂基复合材料冲击后压缩强度预测方法

Prediction method of compressive strength after impact for fiber reinforced plastic composite based on the fractal dimension of impact damage

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	冯振宇, 李玲玲, 邹君, 解江, 王计真, 郭亚周. 复合材料加筋板高能量低速冲击损伤特性数值研究[J]. 复合材料科学与工程, 2024, 0(2): 13-19.
[2]	林逸, 刘玲. 不同冲击角度对复合材料层合板低速冲击损伤特点的影响[J]. 复合材料科学与工程, 2024, 0(1): 30-37.
[3]	郭静静, 张芝芳, 罗子微, 刘文迪. 含分层CFRP层合板结构的振动频率与剩余压缩强度的关联性研究[J]. 复合材料科学与工程, 2024, 0(1): 38-44.
[4]	赵静, 李晓峰, 郭力. 玄武岩-聚丙烯纤维混凝土孔隙结构分形维数及力学性能研究[J]. 复合材料科学与工程, 2023, 0(8): 78-84.
[5]	程振锋, 贾康康, 李成. 碳纤维平纹机织复合材料低速冲击损伤的非线性超声检测研究[J]. 复合材料科学与工程, 2023, 0(5): 94-101.
[6]	许良, 胡鸿铭, 周松, 宋万万. 两次冲击距离对CFRP层合板冲击损伤和剩余压缩强度的影响[J]. 复合材料科学与工程, 2023, 0(12): 12-18.
[7]	张邵峰, 魏金辉, 唐新春, 许家婧, 刘心语, 姚潞. 低速冲击损伤后FML的剩余拉伸强度数值模拟研究[J]. 复合材料科学与工程, 2023, 0(11): 28-36.
[8]	刘乐, 时建纬, 杨晶晶, 李成. 碳纤维平纹与斜纹编织复合材料低速冲击多尺度分析与对比[J]. 复合材料科学与工程, 2023, 0(1): 16-25.
[9]	杨文栋, 徐世伟, 齐业雄. 复合材料夹芯板低速冲击研究进展[J]. 复合材料科学与工程, 2022, 0(5): 120-128.
[10]	王涛, 杨勇新. 低速冲击下复合材料组合板新型耗能模式研究[J]. 复合材料科学与工程, 2022, 0(2): 75-81.
[11]	周春苹, 王轩, 张世秋, 冮庆庸. 平纹编织面板泡沫夹芯结构修补后低速冲击性能[J]. 复合材料科学与工程, 2022, 0(11): 54-62.
[12]	崔为运, 陈广思, 熊信发, 彭锦峰, 蔡登安, 周光明. 起圈织物泡沫夹芯复合材料低速冲击性能研究[J]. 复合材料科学与工程, 2021, 0(8): 50-59.
[13]	李磊, 宋贵宾, 郑华勇, 程鹏飞, 赵剑. 基于Puck准则的复合材料层压板低速冲击数值分析与试验验证[J]. 复合材料科学与工程, 2021, 0(6): 20-25.
[14]	王海雷, 段跃新, 王维维, 蒋金隆. 玻璃纤维与碳纤维混杂复合材料的拉伸及低速冲击性能研究[J]. 复合材料科学与工程, 2021, 0(2): 102-109.
[15]	张晨曦, 娄源峰, 铁瑛, 丛世凡, 李要磊. 基于渐进均匀化多尺度方法的CFR平纹机织材料冲击后压缩损伤研究[J]. 复合材料科学与工程, 2021, 0(10): 5-12.