纤维桥联作用下的复合材料Ⅰ型疲劳分层扩展
收稿日期: 2023-11-27
修回日期: 2024-02-21
录用日期: 2024-05-23
网络出版日期: 2024-05-31
基金资助
强度与结构完整性全国重点实验室开放基金(ASSIKFJJ202302003);国家自然科学基金(12272110);航空科学基金(2022Z055077004)
Critical discussions on mode I fatigue delamination with large⁃scale fibre bridging in composite laminates
Received date: 2023-11-27
Revised date: 2024-02-21
Accepted date: 2024-05-23
Online published: 2024-05-31
Supported by
National Key Laboratory of Strength and Structural Integrity Science Foundation(ASSIKFJJ202302003);National Natural Science Foundation of China(12272110);Aeronautical Science Foundation of China(2022Z055077004)
先进复合材料以其优异的力学性能及在结构减重方面的巨大潜力已经广泛应用于航空航天领域,其用量多少已经成为衡量一个国家高端装备技术发展水平的重要标志之一。疲劳分层是导致航空航天复合材料结构失效的重要原因,纤维桥联对疲劳分层扩展存在显著影响。同时,不同断裂模式下,复合材料抵抗Ⅰ型疲劳分层扩展的能力最低。因此,针对纤维桥联作用下的复合材料Ⅰ型疲劳分层扩展问题开展研究,具有十分重要的意义。本文对作者课题组近年来开展的相关研究工作进行了系统总结和介绍,重点对以下问题进行了分析讨论:纤维桥联对疲劳分层扩展的影响规律及机理;纤维桥联作用下的疲劳分层扩展模型和分析方法;疲劳分层扩展分析模型的应用和验证。研究表明,纤维桥联对疲劳分层扩展存在显著的抑制作用,将导致疲劳分层扩展速率随分层扩展长度的增加而显著下降;纤维桥联在疲劳分层扩展中的作用机理与静态分层扩展存在不同,疲劳分层扩展主要的能量耗散集中于分层前缘附近,桥联纤维中的能量耗散相对有限;并且纤维桥联强弱对疲劳分层前缘的损伤失效机制无显著影响。因此,采用作用于分层前缘处的应变能释放率作为疲劳裂纹扩展相似性参数,能够对纤维桥联作用下的复合材料Ⅰ型疲劳分层扩展进行有效的分析和表征,满足疲劳裂纹扩展相似性假设的基本要求;以此为基础,采用双参数形式的疲劳分层扩展准则,能够有效考虑应力比的影响,实现不同载荷工况下复合材料Ⅰ型疲劳分层扩展行为的有效分析和表征。
姚辽军 , 魏景超 , 陈向明 , 啜明月 , 李含月 , 果立成 . 纤维桥联作用下的复合材料Ⅰ型疲劳分层扩展[J]. 航空学报, 2024 , 45(18) : 229919 -229919 . DOI: 10.7527/S1000-6893.2024.29919
Advanced carbon fibre reinforced polymer composites have been widely used in aerospace industry, because of their excellent mechanical properties and great weight-saving potential. Fatigue delamination has been demonstrated the main reason for the failure of composite structures in their long-term operations. Fiber bridging, as an important and unique shielding mechanism, has significant effects on fatigue delamination behavior. And it has been demonstrated that composite laminates have even lower mode I fatigue delamination resistance. As a result, it is really important to have thorough investigations on mode I fatigue delamination with large-scale fibre bridging in composite laminates, to guarantee the integrity of composite structures. This paper therefore provides critical reviews and discussions on the research work carried out by the author’s research group in this field in the past several years. And the main contents of this paper can be organized as following aspects: the effects of fibre bridging on fatigue delamination behavior, and bridging mechanism in fatigue delamination; the similarity for fatigue delamination with large-scale fibre bridging, and Paris type correlations for fibre-bridged mode I fatigue delamination characterization; the application and verification of the proposed Paris type correlations in fibre-bridged fatigue delamination interpretations. The results clearly demonstrated that the presence of fiber bridging has significant retardation effects on mode I fatigue delamination behavior. Particularly, fatigue delamination growth can decrease significantly with the development of fibre bridging, using the basic Paris law in fatigue data reduction. The mechanism of fiber bridging in fatigue delamination is different from that in static delamination in the perspective of energy dissipation. Particularly, fibre bridging has negligible contribution to permanent energy dissipation in fatigue delamination, unless there is failure in them. Bridging fibres in most cases only periodically store and release strain energy under cyclic loading, making the most energy dissipation still concentrate around the crack front (regardless of fibre bridging) in fatigue delamination. And the fractographic examinations on fatigue fracture surfaces indicate that the presence of fibre bridging indeed has little influence on the damage mechanism in mode I fatigue delamination. According to the energy dissipation and fractographic examinations, it is therefore reasonable to use the strain energy release rate that applied around the crack front as the similitude parameter to appropriately represent fatigue delamination behavior with significant fibre bridging at a given stress ratio, which can well obey the similitude principles. A two-parameter Paris type correlation was proposed to account for stress ratio. And the results clearly indicated that the use of this two-parameter model can appropriately determine fibre-bridged fatigue delamination behavior at different stress ratios and temperatures.
1 | 邢丽英, 李亚锋, 陈祥宝. 先进复合材料在航空装备发展中的地位与作用[J]. 复合材料学报, 2022, 39(9): 4179-4186. |
XING L Y, LI Y F, CHEN X B. Status and role of the advanced composite materials in the development of aviation equipment[J]. Acta Materiae Compositae Sinica, 2022, 39(9): 4179-4186 (in Chinese). | |
2 | 杜善义, 关志东. 我国大型客机先进复合材料技术应对策略思考[J]. 复合材料学报, 2008, 25(1): 1-10. |
DU S Y, GUAN Z D. Strategic considerations for development of advanced composite technology for large commercial aircraft in China[J]. Acta Materiae Compositae Sinica, 2008, 25(1): 1-10 (in Chinese). | |
3 | KHAN R. Delamination growth in composites under fatigue loading[D]. Delft: TU Delft, 2013. |
4 | 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): 522509. |
ZHAO L B, GONG Y, ZHANG J Y. A survey on delamination growth behavior in fiber reinforced composite laminates[J]. Acta Aeronautica et Astronautica Sinica, 2019, 40(1): 522509 (in Chinese). | |
5 | PASCOE J A, ALDERLIESTEN R C, BENEDICTUS R. Methods for the prediction of fatigue delamination growth in composites and adhesive bonds-A critical review[J]. Engineering Fracture Mechanics, 2013, 112-113: 72-96. |
6 | BRIAN L V BAK, CARLOS S, ALBERT T, et al. Delamination under fatigue loads in composite laminates: A review on the observed phenomenology and computational methods[J]. Applied Mechanics Reviews, 2014, 66(6): 060803. |
7 | Federal Aviation Administration. Composite aircraft structure : No: 20-107B [S].Washington,D.C.:FAA, 2009. |
8 | BRUNNER A J, MURPHY N, PINTER G. Development of a standardized procedure for the characterization of interlaminar delamination propagation in advanced composites under fatigue mode I loading conditions[J]. Engineering Fracture Mechanics, 2009, 76(18): 2678-2689. |
9 | STELZER S, BRUNNER A J, ARGüELLES A, et al. Mode I delamination fatigue crack growth in unidirectional fiber reinforced composites: Development of a standardized test procedure[J]. Composites Science and Technology, 2012, 72(10): 1102-1107. |
10 | STELZER S, BRUNNER A J, ARGüELLES A, et al. Mode I delamination fatigue crack growth in unidirectional fiber reinforced composites: Results from ESIS TC4 round-robins[J]. Engineering Fracture Mechanics, 2014, 116: 92-107. |
11 | MURRI G B. Effect of data reduction and fiber-bridging on Mode I delamination characterization of unidirectional composites[J]. Journal of Composite Materials, 2014, 48(19): 2413-2424. |
12 | BLANCO N, GAMSTEDT E K, ASP L E, et al. Mixed-mode delamination growth in carbon-fibre composite laminates under cyclic loading[J]. International Journal of Solids and Structures, 2004, 41(15): 4219-4235. |
13 | KHAN R, ALDERLIESTEN R, BADSHAH S, et al. Effect of stress ratio or mean stress on fatigue delamination growth in composites: Critical review[J]. Composite Structures, 2015, 124: 214-227. |
14 | JONES R, KINLOCH A J, HU W. Cyclic-fatigue crack growth in composite and adhesively-bonded structures: The FAA slow crack growth approach to certification and the problem of similitude[J]. International Journal of Fatigue, 2016, 88: 10-18. |
15 | CANO A J, SALAZAR A, RODRíGUEZ J. Evaluation of different crack driving forces for describing the fatigue crack growth behaviour of PET-G[J]. International Journal of Fatigue, 2018, 107: 27-32. |
16 | RANS C, ALDERLIESTEN R, BENEDICTUS R. Misinterpreting the results: How similitude can improve our understanding of fatigue delamination growth[J]. Composites Science and Technology, 2011, 71(2): 230-238. |
17 | DONOUGH M J, GUNNION A J, ORIFICI A C, et al. Scaling parameter for fatigue delamination growth in composites under varying load ratios[J]. Composites Science and Technology, 2015, 120: 39-48. |
18 | ALDERLIESTEN R C. How proper similitude can improve our understanding of crack closure and plasticity in fatigue[J]. International Journal of Fatigue, 2016, 82(P2): 263-273. |
19 | PASCOE J A, ALDERLIESTEN R C, BENEDICTUS R. On the physical interpretation of the R-ratio effect and the LEFM parameters used for fatigue crack growth in adhesive bonds[J]. International Journal of Fatigue, 2017, 97: 162-176. |
20 | YAO L J, ALDERLIESTEN R C, BENEDICTUS R. Interpreting the stress ratio effect on delamination growth in composite laminates using the concept of fatigue fracture toughness[J]. Composites Part A Applied Science and Manufacturing, 2015, 78: 135-142. |
21 | YAO L J, ALDERLIESTEN R C, BENEDICTUS R. The effect of fibre bridging on the Paris relation for mode I fatigue delamination growth in composites[J]. Composite Structures, 2016, 140: 125-135. |
22 | 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. |
23 | KHAN R. Fiber bridging in composite laminates: A literature review[J]. Composite Structures, 2019, 229: 111418. |
24 | AIROLDI A, DáVILA C G. Identification of material parameters for modelling delamination in the presence of fibre bridging[J]. Composite Structures, 2012, 94(11): 3240-3249. |
25 | YAO L J, LIU J R, LYU Z M, et al. Damage mechanism investigation and a prediction model for delamination with fibre bridging in composites[J]. Engineering Fracture Mechanics, 2023, 281: 109079. |
26 | 姚辽军. 复合材料层间Ⅰ型静态及疲劳断裂机理研究[D]. 西安: 西北工业大学, 2016. |
YAO L J. Mode Ⅰ quasi-static and fatigue delamination growth in composite laminates[D].Xi’an: Northwestern Polytechnical University, 2016 (in Chinese). | |
27 | HOJO M, ANDO T, TANAKA M, et al. Modes I and II interlaminar fracture toughness and fatigue delamination of CF/epoxy laminates with self-same epoxy interleaf[J]. International Journal of Fatigue, 2006, 28(10): 1154-1165. |
28 | KHAN R, ALDERLIESTEN R, YAO L J, et al. Crack closure and fibre bridging during delamination growth in carbon fibre/epoxy laminates under mode I fatigue loading[J]. Composites Part A: Applied Science and Manufacturing, 2014, 67: 201-211. |
29 | YAO L J, ALDERLIESTEN R C, JONES R, et al. Delamination fatigue growth in polymer-matrix fibre composites: A methodology for determining the design and lifing allowables[J]. Composite Structures, 2018, 196: 8-20. |
30 | YAO L J, CHUAI M Y, LYU Z M, et al. A proposal for similitude in characterizing fatigue delamination behavior with fibre bridging of carbon-fibre reinforced polymer composites[J]. Engineering Fracture Mechanics, 2024, 295: 109756. |
31 | MICHEL S, MURPHY N, KINLOCH A J, et al. On cyclic-fatigue crack growth in carbon-fibre-reinforced epoxy–polymer composites[J]. Polymers, 2024, 16(3): 435. |
32 | ZHAO L B, GONG Y, ZHANG J Y, et al. A novel interpretation of fatigue delamination growth behavior in CFRP multidirectional laminates[J]. Composites Science and Technology, 2016, 133: 79-88. |
33 | FARMAND-ASHTIANI E, CUGNONI J, BOTSIS J. Effects of large scale bridging in load controlled fatigue delamination of unidirectional carbon-epoxy specimens[J]. Composites Science and Technology, 2016, 137: 52-59. |
34 | GREGORY J R, SPEARING S M. A fiber bridging model for fatigue delamination in composite materials[J]. Acta Materialia, 2004, 52(19): 5493-5502. |
35 | JONES R, KINLOCH A J, MICHOPOULOS J G, et al. Delamination growth in polymer-matrix fibre composites and the use of fracture mechanics data for material characterisation and life prediction[J]. Composite Structures, 2017, 180: 316-333. |
36 | JENSEN S M, BAK B L V, BENDER J J, et al. Transient delamination growth in GFRP laminates with fibre bridging under variable amplitude loading in G-control[J]. Composites Part B, 2021, 225: 109296. |
37 | JENSEN S M, BAK B L V, BENDER J J, et al. Transition-behaviours in fatigue-driven delamination of GFRP laminates following step changes in block amplitude loading[J]. International Journal of Fatigue, 2021, 144: 106045. |
38 | YAO L J, ALDERLIESTEN R, ZHAO M Y, et al. Bridging effect on mode I fatigue delamination behavior in composite laminates[J]. Composites Part A: Applied Science and Manufacturing, 2014, 63: 103-109. |
39 | YAO L J, ALDERLIESTEN R C, ZHAO M Y, et al. Discussion on the use of the strain energy release rate for fatigue delamination characterization[J]. Composites Part A: Applied Science and Manufacturing, 2014, 66: 65-72. |
40 | YAO L J, CUI H, ALDERLIESTEN R C, et al. Thickness effects on fibre-bridged fatigue delamination growth in composites[J]. Composites Part A: Applied Science and Manufacturing, 2018, 110: 21-28. |
41 | YAO L J, SUN Y, GUO L C, et al. A modified Paris relation for fatigue delamination with fibre bridging in composite laminates[J]. Composite Structures, 2017, 176: 556-564. |
42 | YAO L J, SUN Y, GUO L C, et al. A validation of a modified Paris relation for fatigue delamination growth in unidirectional composite laminates[J]. Composites Part B: Engineering, 2018, 132: 97-106. |
43 | YAO L J, CUI H, SUN Y, et al. Fibre-bridged fatigue delamination in multidirectional composite laminates[J]. Composites Part A: Applied Science and Manufacturing, 2018, 115: 175-186. |
44 | ALDERLIESTEN R C, BRUNNER A J, PASCOE J A. Cyclic fatigue fracture of composites: What has testing revealed about the physics of the processes so far?[J]. Engineering Fracture Mechanics, 2018, 203: 186-196. |
45 | BRUNNER A J. Fracture mechanics testing of fiber-reinforced polymer composites: The effects of the “human factor” on repeatability and reproducibility of test data[J]. Engineering Fracture Mechanics, 2022, 264: 108340. |
46 | MUJTABA A, STELZER S, BRUNNER A J, et al. Thoughts on the scatter seen in cyclic Mode I fatigue delamination growth in DCB tests[J]. Composite Structures, 2017, 160: 1329-1338. |
47 | JONES R, PENG D, SINGH RAMAN R K, et al. Thoughts on two approaches for accounting for the scatter in fatigue delamination growth curves[J]. Composite Structures, 2021, 258: 113175. |
48 | YAO L J, CHUAI M Y, LI H Y, et al. Temperature effects on fatigue delamination behavior in thermoset composite laminates[J]. Engineering Fracture Mechanics, 2023, 295: 109799. |
49 | HOJO M, TANAKA K, GUSTAFSON C G, et al. Effect of stress ratio on near-threshold propagation of delimination fatigue cracks in unidirectional CFRP[J]. Composites Science and Technology, 1987, 29(4): 273-292. |
50 | ATODARIA D R, PUTATUNDA S K, MALLICK P K. Fatigue crack growth model and mechanism of a random fiber SMC composite[J]. Polymer Composites, 1999, 20(2): 240-249. |
51 | KHAN R, ALDERLIESTEN R, BENEDICTUS R. Two-parameter model for delamination growth under mode I fatigue loading (Part B: Model development)[J]. Composites Part A: Applied Science and Manufacturing, 2014, 65: 201-210. |
52 | YAO L J, CUI H, GUO L C, et al. A novel total fatigue life model for delamination growth in composite laminates under generic loading[J]. Composite Structures, 2021, 258: 113402. |
53 | YAO L J, CHUAI M Y, LIU J R, et al. Fatigue delamination behavior in composite laminates at different stress ratios and temperatures[J]. International Journal of Fatigue, 2023, 175: 107830. |
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