Abstract
In an earlier research, experimental evidence was given on the ability to use Piezo Wafer Active Sensors and acousto-ultrasonics to monitor the accumulation of fatigue damage in a thick composite structure. As a next step, numerical models are investigated as they aid in the further understanding of the governing phenomena and a quantification of the accumulated damage. However, they suffer from high computational demands, due to a high mesh density, the stochastic nature of crack initiation and the combination of initiation and propagation of cracks.
The Polynomial Chaos Expansion (PCE) method is employed to efficiently make meta models and, with these models, account for the stochastic behaviour of crack initiation and formation of delaminations. The meta models thus allow predicting the overall effect of damage accumulations within certain bounds of uncertainty. This aids in the quantification of damage accumulation, hence allowing for a damage severity estimation based on the experimental results.
The input for the PCE method is a 2D Finite Element (FE) model. Cracks and delaminations are generated using Random Variables (RV) describing the geometrical position and length and orientation. Moreover, the number of cracks and delaminations is randomized as well. The necessary remeshing is done automatically, allowing for a completely automated simulation for a large number of FE simulations to feed the PCE model.
Several Quantities of Interests (QoI) are defined and tested against their sensitivity to the increasing amount of damage accumulation. A global sensitivity analysis is used to identify the importance of each of the Random Variables. Random variables with a low sensitivity can be eliminated from the analysis, improving the efficiency.
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References
Bakhtiari-Nejad, F., Sepehry, N., Shamshirsaz, M.: Polynomial chaos expansion sensitivity analysis for electromechanical impedance of plate. In: International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, vol. 50206. American Society of Mechanical Engineers (2016)
Berveiller, M., Sudret, B., Lemaire, M.: Stochastic finite element: a non intrusive approach by regression. Eur. J. Comput. Mech. 15(1–3), 81–92 (2006)
Boller, C.: Structural Health Monitoring – its association and use. In: New Trends in Structural Health Monitoring. CISM – International Centre for Mechanical Sciences, vol. 542. Springer (2013)
Giurgiutiu, V.: SHM of fatigue degradation and other in-service damage of aerospace composites. In: Giurgiutiu, V. (ed.) Structural Health Monitoring of Aerospace Composites, pp. 395–434. Academic Press, Oxford (2016)
Just, G., Koch, I., Brod, M., Jansen, E., Gude, M., Rolfes, R.: Influence of reversed fatigue loading on damage evolution of cross-ply carbon fibre composites. Materials 12(7), 1153 (2019)
Keshtgar, A., Sauerbrunn, C.M., Modarres, M.: Structural reliability prediction using acousticemission-based modeling of fatigue crack growth. Appl. Sci. 8(1225), 1–15 (2018)
Konakli, K., Sudret, B.: Global sensitivity analysis using low-rank tensor approximations. Reliab. Eng. Syst. Saf. 156, 64–83 (2016)
Konakli, K., Sudret, B.: Polynomial meta-models with canonical low-rank approximations: numerical insights and comparison to sparse polynomial chaos expansions. J. Comput. Phys. 321, 1144–1169 (2016)
Lahuearta, F.: Identification of typical failures in composite rotor blades and structural health monitoring. Technical report project SLOWIND, Knowledge center WMC (2016)
Liu, Z., Lesselier, D., Sudret, B., Wiart, J.: Surrogate modeling based on resampled polynomial chaos expansions. Reliab. Eng. Syst. Saf. 202, 107008 (2020)
Loendersloot, R., Buethe, I., Michaelides, P., Bonet, M.M., Lampeas, G.: Damage identification in composite panels - methodology and visualisation. In: Smart Intelligent Aircraft Structures (SARISTU): Proceedings of the Final Project Conference, pp. 579–604. Springer (2015)
Loendersloot, R., Venterink, M., Krause, A., Lahuerta, F.: Acousto-ultrasonic damage monitoring in a thick composite beam for wind turbine applications. In: 9th European Workshop on Structural Health Monitoring, EWSHM 2018 (2018)
Moix-Bonet, M., Eckstein, B., Loendersloot, R., Wierach, P.: Identification of barely visible impact damages on a stiffened composite panel wit a probability-based approach. In: Proceedings of the International Workshop on Structural Health Monitoring, Stanford, USA (accepted for oral presentation). DEStech Inc. (2015)
Moix-Bonet, M., Wierach, P., Loendersloot, R., Bach, M.: Damage assessment in composite structures based on acousto ultrasonics - evaluation of performance. In: Smart Intelligent Aircraft Structures (SARISTU): Proceedings of the Final Project Conference, pp. 617–629. Springer (2015)
Ono, K., Mizutani, Y., Takemoto, M.: Analysis of acoustic emission from impact and fracture of CFRP laminates. J. Acoust. Emission 25, 179–186 (2007)
Putić, S., Uskoković, P., Aleksić, R.: Analysis of fatigue and crack growth in carbon-fiber epoxy matrix composite laminates. Strength Mater. 35, 500–507 (2003)
Sepehry, N., Shamshirsaz, M., Bakhtiari-Nejad, F.: Low-cost simulation using model order reduction in structural health monitoring: application of balanced proper orthogonal decomposition. Struct. Control Health Monit. 24(11), 10 (2017)
Su, Z., Ye, L.: Identification of Damage Using Lamb Waves - From Fundamentals to Applications. Lecture Notes in Applied and Computational Mechanics, vol. 48. Springer (2009)
Su, Z., Ye, L., Bu, X.: A damage identification technique for CF/EP compositelaminates using distributed piezoelectric transducers. Compos. Struct. 57, 465–471 (2002)
Su, Z., Ye, L., Lu, Y.: Guided lamb waves for identification of damage in composite structures: a review. J. Sound Vibr. 295(3–5), 753–780 (2006)
Sudret, B.: Polynomial chaos expansions and stochastic finite element methods. In: Risk and Reliability in Geotechnical Engineering, pp. 265–300. CRC Press (2015)
Worden, K., Farrar, C., Manson, G., Park, G.: The fundamental axioms of structural health monitoring. Proc. Roy. Soc. A 463, 1639–1664 (2007)
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Loendersloot, R., Ehsani, M., Sepehry, N., Shamshirsaz, M. (2021). Numerical Modelling of Stochastic Fatigue Damage Accumulation in Thick Composites. In: Rizzo, P., Milazzo, A. (eds) European Workshop on Structural Health Monitoring. EWSHM 2020. Lecture Notes in Civil Engineering, vol 128. Springer, Cham. https://doi.org/10.1007/978-3-030-64908-1_72
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