Abstract
Estimating and tracking crack growth dynamics is essential for fatigue failure prediction. A new experimental system—coupling structural and crack growth dynamics—is used to show fatigue damage accumulation is different under chaotic and stochastic loading, even when both excitations possess same spectral and statistical signatures. Furthermore, the conventional rain-flow counting method considerably overestimates damage in case of chaotic forcing. Important nonlinear loading characteristics, which can explain the observed discrepancies, are identified and suggested to be included as loading parameters in new fatigue models.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
\(R =\sigma _{\min }/\sigma _{\max }\), where σ min is the minimum peak stress and σ max is the maximum peak stress
References
ASTM E1820-08a (2008) Standard test methods for measurement of fracture toughness. In: Annual book of ASTM standards. American Society for Testing and Materials, Philadelphia
Chee-Hoe Foong, Wiercigroch M, Deans WF (2006) Novel dynamic fatigue-testing device: design and measurements. Meas Sci Technol 17:2218–2226
Downing SD, Socie DF (1982) Simple rainflow counting algorithms. Int J Fatigue 4(1):31–40
Falco M, Liu M, Chelidze D (2010) A new fatigue testing apparatus model and parameter identification. In: ASME 2010 international design engineering technical conferences and computers and information in engineering conference, Montreal, vol 5(44137), pp 1007–1012
Fraser AM, Swinney HL (1986) Independent coordinates for strange attractors from mutual information. Phys Rev A 33:1134–1140
Jakšić N, Chee-Hoe Foong, Wiercigroch M, Boltežar M (2008) Parameter identification and modelling of the fatigue-testing rig. Int J Mech Sci 50(7):1142–1152
Kantz H, Schreiber S (2004) Nonlinear time series analysis. Cambridge University Press, Cambridge
Kennel MB, Brown R, Abarbanel HDI (1992) Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys Rev A 45:3403–3411
Miner M (1945) Cumulative damage in fatigue. J Appl Mech 67:A159–A164
Rosenstein MT, Collins JJ, De Luca CJ (1993) A practical method for calculating largest lyapunov exponents from small data sets. Phys D 65:117–134
Schreiber T, Schmitz A (1996) Improved surrogate data for nonlinearity tests. Phys Rev Lett 77:635–638
Skorupa M (1999) Load interaction effects during fatigue crack growth under variable amplitude loading – a literature review. part i: Empirical trends. Fatigue Fract Eng Mater Struct 21:987–1006
Skorupa M (1999) Load interaction effects during fatigue crack growth under variable amplitude loading – a literature review. part ii: Qualitative interpretations. Fatigue Fract Eng Mater Struct 22:905–926
Theiler J (1986) Spurious dimension from correlation algorithms applied to limited time-series data. Phys Rev A 34:2427–2432
Acknowledgements
This paper is based upon work supported by the National Science Foundation under Grant No. 1100031.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Nguyen, S.H., Falco, M., Liu, M., Chelidze, D. (2013). Fatigue Dynamics Under Statistically and Spectrally Similar Deterministic and Stochastic Excitations. In: Kerschen, G., Adams, D., Carrella, A. (eds) Topics in Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6570-6_11
Download citation
DOI: https://doi.org/10.1007/978-1-4614-6570-6_11
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-6569-0
Online ISBN: 978-1-4614-6570-6
eBook Packages: EngineeringEngineering (R0)