Complex Analysis of the Impact Damages Growth in the Composite Element Under Cyclic Compression

Aeronautical and Space-Rocket Engineering


Аuthors

Turbin N. V.*, Kononov N. O.**

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: turbinnv@mai.ru
**e-mail: kononovno@mai.ru

Abstract

The studies of damage growth caused by the falling load shock were conducted on the test samples from laminate reinforced by the carbon fiber under the impact of the cyclic compression. The basic principle of the composite structures design with account for the fault tolerance is a principle of the damage non-growth, which means that damage, appeared while operation or manufacturing should not grow after its occurrence under static or cyclic loads in the specified environmental conditions. The supportive tools for compliance ensuring with damage permissible standards suppose the structure testing with artificially introduced damage zones. The scope of such tests is obviously limited by the project budget and the capabilities of the methods for predicting the structure critical zones. The objective of the study consists in revealing regularities of the impact damages growth in the composite element at cyclic loads based on the tests, non-destructive control and theoretical model of the imbedded stratification. The test samples are made of unidirectional polymer composite material with rigid stacking and cut by high-speed milling tool. Theoretical model includes expressions for computing critical delamination strains of an elliptical shape, as well as expressions for the quasi-equilibrium growth computing of delamination under the biaxial compressive load. To illustrate the theoretical model operation, the article presents the qualitative results obtained with the equations for critical delamination strains, quasi-equilibrium growth of delamination, and the equations for the durations of delamination growth. The size and depths of internal delaminations prior and after testing employing ultrasonic control were determined. The results of the non-destructive control after 40,000 load cycles revealed the growth of one delamination in the transverse direction relative to the load. Such an orientation of growth is typical for the uniaxial cyclic compression test after the impact, which was noted in several studies. The delamination activated under the load was near the back side of the sample and was oriented by the major axis of the ellipse along the 90° direction of the laminate. Dynamics of the composite damaged state detected by the ultrasonic testing corresponds to the prediction by the theoretical model. The tests were conducted on the SUNS-890-500 servo-hydraulic mechanical testing machine, which allows both static and dynamic testing. Cyclic tests revealed several stages of delamination growth and growth stunt before the end of the fatigue testing cycle base. Although the compliance monotonically increases during cycling, no step changes are being observed during the period of delamination growth. Thus, the occurrence and growth of delamination are not recorded when monitoring the sample compliance during testing, hence additional methods for monitoring damage growth are required. It follows from the experimental results processing that the presented theoretical model is able to qualitatively predict the location of damage initiation in the material corresponding to the experimental results. The technique for the activated delamination location determining is based on the comparison of the delamination initiation coefficients and critical deformations of the delamination stability loss. Thus, the possibility of the damage resistance computing of a composite element under cyclic loads is confirmed.

Keywords:

composite structures, damage tolerance, progressive delamination, compression fatigue after impact, mechanical testing; fracture mechanics; ultrasonic inspection

References

  1.  Mitrofanov OV, Toropylina EY. The Wing Caisson Orthotropic Panels Thicknesses Determining at the Supercritical State with Regard to Membrane and Bending Stresses. Aerospace MAI Journal. 2024;31(1):82-92. (In Russ.).
  2.  Badrukhin YI, Terekhova ES. Rational design of thin-walled load-bearing laminated composite panels under combined loading. Aerospace MAI Journal. 2023;30(4):130–139. (In Russ.). URL: https://vestnikmai.ru/publications.php?ID=177614 
  3.  Davies G, Irving P. Impact, post-impact strength and post-impact fatigue behaviour of polymer composites. In book: Polymer Composites in the Aerospace Industry. Woodhead Publishing; 2015. p. 231-259. DOI: 10.1016/B978-0-85709-523-7.00009-8
  4.  ASTM D7137/D7137M Standard Test Method for Compressive Residual Strength Properties of Damaged Polymer Matrix Composite Plates. 2013. p. 513–529. 
  5.  Pascoe JA. Slow-growth damage tolerance for fatigue after impact in FRP composites: Why current research won’t get us there. Procedia Structural Integrity. 2020;28:726-733. DOI: 10.1016/j.prostr.2020.10.084
  6.  Cheng ZQ, Tan W, Xiong JJ. Progressive damage modelling and fatigue life prediction of plain-weave composite laminates with low-velocity impact damage. Composite Structures. 2021;273:114262. DOI: 10.48550/arXiv.2106.09096
  7.  Cheng ZQ, Tan W, Xiong JJ. Modelling Pre-fatigue, Low-velocity Impact and Fatigue behaviours of Composite Helicopter Tail Structures under Multipoint Coordinated Loading Spectrum. Composite Structures. 2022. DOI: 10.48550/arXiv.2205.02939
  8.  Harman AB, Webb L, Chang P, et al. Post-Impact Fatigue Durability Assessment of Composite Laminates for Enhanced Aircraft Sustainment. AIAA Journal. 2022;60(2):938-950. DOI: 10.2514/1.J060401
  9.  Butler R, Almond DP, Hunt GW, et al. Compressive fatigue limit of impact damaged composite laminates. Composites Part A: Applied Science and Manufacturing. 2007;38(4):1211-1215. DOI: 10.1016/j.compositesa.2006.04.010
  10.  Staroverov O, Mugatarov A, Yankin A, et al. Description of fatigue sensitivity curves and transition to critical states of polymer composites by cumulative distribution functions. Fracture and Structural Integrity. 2022;17(63):91-99. DOI: 10.3221/IGF-ESIS.63.09
  11.  Dávila CG, Rose C, Larve EV. Modeling fracture and complex crack networks in laminated composites. Mathematical Methods and Models in Composites. 2013;297-347. DOI: 10.1142/9781848167858_0008
  12.  Biagini D. Fatigue behavior of impacted carbon fiber reinforced plastics. Doctoral thesis. Delft University of Technology; 2024. 145 p. DOI: 10.4233/uuid:09ac860d-dbf7-4d02-a750-8267afbdb26a
  13.  Bogenfeld R, Gorsky C. An experimental study of the cyclic compression after impact behavior of CFRP composites. Journal of Composites Science. 2021;5(11):296. DOI: 10.3390/jcs5110296
  14.  Biagini D, Pascoe JA, Alderliesten RC. Experimental investigation of fatigue after impact damage growth in CFRP. Procedia Structural Integrity. 2022;42:343-350. DOI: 10.1016/j.prostr.2022.12.042
  15.  Tuo H, Wu T, Lu Z, et al. Evaluation of damage evolution of impacted composite laminates under fatigue loadings by infrared thermography and ultrasonic methods. Polymer Testing. 2021;93:106869. DOI: 10.1016/j.polymertesting.2020.106869
  16.  Staroverov OA, Strungar EM, Mugatarov AI, et al. Residual Strength and Fatigue life of Woven Composite under Compression after Impact Loading. PNRPU Mechanics Bulletin. 2024(5):106-119. (In Russ.). DOI: 10.15593/perm.mech/2024.5.09
  17.  Chen AS, Almond DP, Harris B. Impact damage growth in composites under fatigue conditions monitored by acoustography. International journal of fatigue. 2002;24(2-4):257-261.
  18.  Bolotin VV. Defects of the bundle type in structures made of composite materials. Mekhanika kompozitnykh materialov. 1984(2):239-255. (In Russ.).
  19.  Griffith A.A. VI. The phenomena of rupture and flow in solids. Philosophical transactions of the royal society of London. Series A, Containing Papers of a Mathematical or Physical Character. 1921;221(582-593):163-198. DOI: 10.1098/rsta.1921.0006 
  20.  Nageswaran C, Bird CR, Takahashi R. Phased array scanning of artificial and impact damage in carbon fibre reinforced plastic (CFRP). Insight: Non-destructive testing & condition monitoring. 2006;48(3):155-159. URL:  https://www.ndt.net/?id=3474

mai.ru — informational site of MAI

Copyright © 1994-2025 by MAI