journal article·2026-04Open access

Fatigue Crack Growth Curves for Material Selection, Design and Service-Life Studies of Carbon-Fibre Reinforced-Plastic Composites: Effect of Test Temperature and R-ratio

A. J. Brunner, R. Jones, Anthony J. Kinloch

Applied Composite Materials· Volume 33· Issue 2

Abstract

Abstract The growth of cracks between plies, i.e. delaminations, in continuous fibre polymer matrix composites under cyclic-fatigue loading in operational aircraft structures has always been a very important factor, which has the potential to significantly decrease the service life of such structures. Whilst current designs are based on a ‘no growth’ design philosophy, delamination growth can nevertheless arise in operational aircraft and compromise structural integrity. Therefore, the present paper addresses the problem of fatigue crack growth in composite structures, with special relevance to composite airframes. An immediate challenge facing the composites community is to extend the ‘no-growth’ design philosophy to allow for the nucleation and growth of small, naturally-occurring delaminations in composite structures. The main aim of the present paper is, therefore, to investigate the robustness of the Hartman-Schijve methodology to meet this challenge when the effects of test temperature, together with the R -ratio, on the fatigue behaviour are considered.
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Research context

OpenAlex topics: Mechanical Behavior of Composites · Fatigue and fracture mechanics · Fiber-reinforced polymer composites

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References (36)

Show source-provided references
1. Polymer Matrix composites materials usage, design and analysis. In Composite Materials Handbook; CMH-17-3G. SAE International, 2012, Volume 3, Wichita, Kansas, USA
2. Transportation safety board of Canada: Loss of rudder in flight air transat airbus A310-308 C-GPAT, Miami, Florida, 90 nm S, 6 March 2005. Report Number A05F0047. https://www.tsb.gc.ca/eng/rapports-reports/aviation/2005/a05f0047/a05f0047.html (accessed on 19/12/23)
3. Mueller, E.M., Starnes, S., Strickland, N., Kenny, P., William, C.: The detection, inspection, and failure analysis of a composite wing skin defect on a tactical aircraft. Compos. Struct. 145, 186–193 (2016)10.1016/j.compstruct.2016.02.046 ↗
4. MIL-STD-1530D. Department of Defense Standard Practice, Washington, DC, USA: (2016). http://everyspec.com/MIL-STD/MIL-STD-1500-1599/MIL-STD-1530D_55392/#:~:text=%2DAUG%2D2016)-,MIL%2DSTD%2D1530D%2C%20DEPARTMENT%20OF%20DEFENSE%20STANDARD%20PRACTICE%3A,while%20managing%20cost%20and%20schedule (accessed on 05/12/2023)
5. NASA-HDBK-5010. Fracture control handbook for payloads, experiments, and similar hardware: Revalidated 2012. Available online at (2005). https://standards.nasa.gov/standard/nasa/nasa-hdbk-5010 (accessed on 26/12/2023)
6. Jones, R., Hu, W., Kinloch, A.J.: A convenient way to represent fatigue crack growth in structural adhesives. Fatigue Fract. Eng. Mater. Struct. 38, 379–391 (2015)10.1111/ffe.12241 ↗
7. Jones, R., Kinloch, A.J., Michopoulos, J.G., Brunner, A.J., Phan, N.: Delamination growth in polymer-matrix fibre composites and the use of fracture mechanics data for material characterisation and life prediction. Compos. Struct. 180, 316–333 (2017)10.1016/j.compstruct.2017.07.097 ↗
8. Brunner, A.J.: Scatter, scope and structures: What fatigue fracture testing of fiber polymer composites is all about. IOP Conf. Series: Mater. Sci. Eng. 388, 012003 (2018)10.1088/1757-899X/388/1/012003 ↗
9. Brunner, A.J., Alderliesten, R., Pascoe, J.-A.: In-service delaminations in FRP structures under operational loading conditions: are current fracture testing and analysis on coupons sufficient for capturing the essential effects for reliable predictions? Materials. 16, 248 (2023)10.3390/ma16010248 ↗
10. ASTM E647-24: Measurement of Fatigue Crack Growth Rates. ASTM, West Conshohocken, PA, USA (2024)
11. Venkateswara Rao, K.T., Yu, W., Ritchie, R.O.: On the behavior of small fatigue cracks in commercial aluminum-lithium alloys. Eng. Fract. Mech. 31, 623–635 (1988)10.1016/0013-7944(88)90105-1 ↗
12. Alderliesten, R., Brunner, A.J.: Determination of Mode I Fatigue Delamination Propagation in Unidirectional Fibre-Reinforced Polymer Composites, ESIS TC4 Round Robin Protocol (Version 3.1, pp. 1–14). Available on request from r. ) c.alderliesten@tudelft.nl (2020)
13. Michel, S., Murphy, N., Kinloch, A.J., Jones, R.: On cyclic-fatigue crack growth in carbon-fibre-reinforced epoxy-polymer composites. Polymers. 16, 435 (2024)10.3390/polym16030435 ↗
14. Michel, S., Kinloch, A.J., Jones, R.: Cyclic-fatigue crack growth in polymer composites: Data interpretation via the Hartman-Schijve Methodology. Eng. Fract. Mech. 314, 110743 (2025)10.1016/j.engfracmech.2024.110743 ↗
15. Hartman, A., Schijve, J.: The effects of environment and load frequency on the crack propagation law for macro FCG in aluminum alloys. Eng. Fract. Mech. 1, 615–631 (1970)10.1016/0013-7944(70)90003-2 ↗
16. Schwalbe, K.H.: On the beauty of analytical models for fatigue crack propagation and fracture. A personal historical review. J. ASTM Int. 7, 3–73 (2010)10.1520/JAI102713 ↗
17. Yao, L., Chuai, M., Liu, J., Guo, L., Chen, X., Alderliesten, R.C., Beyens, M.: Fatigue delamination behavior in composite laminates at different stress ratios and temperatures. Int. J. Fatigue. 175, 107830 (2023)10.1016/j.ijfatigue.2023.107830 ↗
18. Yao, L., Chuai, M., Li, H., Chen, X., Quan, D., Alderliesten, R.C., Beyens, M.: Temperature effects on fatigue delamination behavior in thermoset composite laminates. Eng. Fract. Mech. 295, 109799 (2024)10.1016/j.engfracmech.2023.109799 ↗
19. Paris, P.C., Gomez, R.E., Anderson, W.E.: A rational analytic theory of fatigue. Trends Eng. 13(1), 9–14 (1961)
20. Paris, P.C., Erdogan, F.: Critical analysis of crack growth propagation laws. ASME Trans. J. Basic. Eng. 85D, 528–534 (1963)10.1115/1.3656900 ↗
21. Paris, P.C.: A brief history of the crack tip stress intensity factor and its applications. Meccanica. 49, 759–764 (2014)10.1007/s11012-014-9896-y ↗
22. Sih, G.C., Paris, P.C., Irwin, G.R.: On cracks in rectilinearly anisotropic bodies. Int. J. Fract.Mech. 1, 189–203 (1965)10.1007/BF00186854 ↗
23. Jones, R., Kinloch, A.J., Hu, W.: Cyclic-FCG in composite and adhesively-bonded structures: The FAA slow crack growth approach to certification and the problem of similitude. Int. J. Fatigue. 88, 10–18 (2016)10.1016/j.ijfatigue.2016.03.008 ↗
24. Yao, L., Alderliesten, R.C., Jones, R., Kinloch, A.J.: Delamination fatigue growth in polymer-matrix fibre composites: a methodology for determining the design and lifing allowables. Compos. Struct. 96, 8–20 (2018)10.1016/j.compstruct.2018.04.069 ↗
25. Simon, I., Banks-Sills, L., Fourman, V.: Mode I delamination propagation and R-ratio effects in woven DCB specimens for a multi-directional layup. Int. J. Fatigue. 96, 237–251 (2017)10.1016/j.ijfatigue.2016.12.005 ↗
26. Alderliesten, R.C.: Fatigue delamination of composite materials - approach to exclude large scale fibre bridging. IOP Conf. Series: Mater. Sci. Eng. 388, 012002 (2018)10.1088/1757-899X/388/1/012002 ↗
27. ISO Standard 15024: Fibre-reinforced plastic composites - Determination of mode I interlaminar fracture toughness, GIc, for unidirectionally reinforced materials. International Standards Organisation, Geneva, Switzerland (2023)
28. Ping, J., De Wang, X.T.: Review of hygrothermal effects on carbon fiber-reinforced composite materials reinforced composite materials. Adv. Mater. Res., 490–495, 3611–3615. (2012)10.4028/www.scientific.net/AMR.490-495.3611 ↗
29. Shettar, M., Chaudhary, A., Hussain, Z., Achutha Kini, U., Sharma, U.: S., Hygrothermal studies on GFRP Composites: A Review. MATEC Web of Conferences, 144, 02026. (2018)10.1051/matecconf/201814402026 ↗
30. Hussnain, S.M., Shah, S.Z.H., Megat-Yusoff, P.S.M., Hussain, M.Z.: Degradation and mechanical performance of fibre-reinforced polymer-composites under marine environments: A review of recent advancements. Polym. Degrad. Stab. 215, 110452 (2023)10.1016/j.polymdegradstab.2023.110452 ↗
31. Fernandes, O., Dutta, J., Pai, Y.: Effect of various factors and hygrothermal ageing environment on the low velocity impact response of fibre reinforced polymer composites - a comprehensive review. Cogent Eng. 10, 2247228 (2023)10.1080/23311916.2023.2247228 ↗
32. ISO Standard 291: Plastics - Standard atmosphere for conditioning and testing. International Standards Organisation, Geneva, Switzerland, (2008)
33. Iliopoulos, A.P., Michopoulos, J.G., Jones, R., Kinloch, A.J., Peng, D.: A framework for automating the parameter determination of crack growth models. Int. J. Fatigue. 169, 107490 (2023)10.1016/j.ijfatigue.2022.107490 ↗
34. Niu, M.C.Y.: Composite Airframe Structures: Practical Design Information and Data. Conmilit, Hong Kong (1992)
35. Rouchon, J.,: Fatigue, and damage tolerance evaluation of structures: : The composite materials response. 22nd Plantema Memorial Lecture, 25th ICAF Symposium, Hamburg, Germany, Rotterdam, The Netherlands, National Aerospace Laboratory NLR, NLR-TP-2009-221, (2009)
36. Lincoln, J.W., Melliere, R.A.: Economic life determination for a military aircraft. AIAA J. Aircr. 36, 737–742 (1999)10.2514/2.2512 ↗