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Image of Vibration Testing and System Dynamics
ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Power Density — An Alternative Approach to Quantifying Fatigue Failure

Journal of Vcibration Testing and System Dynamics 2(4) (2018) 307--326 | DOI:10.5890/JVTSD.2018.12.002

Zachary T. Branigan, C. Steve Suh

Nonlinear Engineering and Control Lab, Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123, USA

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Abstract

The power density theory is an alternate description of fatigue failure. It is derived from the concept of power density, which is physically equivalent to the amount of power deposited into a unit volume of the material experiencing dynamic loading. Power density results from changes in stress magnitude over time. All the stress alterna- tions that occur across a broad bandwidth of frequencies contribute to the accumulation of power density. Higher frequencies coupledwith faster changes in stress contribute more power density. Once this accumulation reaches a threshold – a fundamental property of the material – it is expected to fail by fatigue. The power density based methodology is applied to properly interpret the multiaxial vi- bration fatigue test results reported by Mršnik, Slavič and Boltežar [15] using computer simulations. This serves as a feasibility study for the approach, as well as an example of how to apply it. The power density response of the system is analyzed, and the failure locations are predicted for each of the ten load cases that are considered. The predicted failure locations are in excellent agreement with the exper- imental results. Further examination of the approach would result in a better understanding of fatigue failure, thus improving engineering work across many industries.

References

  1. [1]  Arutyunyan, R.A. (1985), Frequency dependence of the fatigue strength criterion, Strength of Materials, 17(12), 1717-1720.
  2. [2]  Makhlouf, K. and Jones, J.W. (1993), Effects of temperature and frequency on fatigue crack growth in 18% Cr ferritic stainless Steel, International Journal of Fatigue, 15(3), 163-171.
  3. [3]  Fatemi, A. and Yang, L. (1998), Cumulative fatigue damage and life prediction theories: a survey of the state of the art for homogeneous materials, International Journal of Fatigue, 20(1), 9-34.
  4. [4]  Holmes, J.W., Wu, X., and S?rensen, B.F. (1994), Frequency dependence of fatigue life and internal heating of a fiber-reinforced/ceramic-matrix composite, Journal of the American Ceramic Society, 77(12), 3284-3286.
  5. [5]  Bhat, S. and Patibandla, R. (2011), Metal fatigue and basic theoretical models: a review, Alloy Steel - Properties and Use, Eduardo Valencia Morales (Ed.), InTech.
  6. [6]  Maktouf, W., Ammar, A., Naceur, I.B., and Sai, K. (2016), Multiaxial high-cycle fatigue criteria and life prediction: application to gas turbine blade, International Journal of Fatigue, 92(1), 25-35.
  7. [7]  Budynas, R.G. and Nisbett, J.K. (2015), Shigley's Mechanical Engineering Design, 10th ed., McGraw-Hill.
  8. [8]  Mršnik, M., Slavič, J., and Boltežar, M. (2013), Frequency-domain methods for a vibration-fatigue-life estimation - application to real data, International Journal of Fatigue, 47(1), 8-17.
  9. [9]  Dirlik, T. (1985), Application of computers in fatigue analysis, Diss. U of Warwick, University of Warwick Publications Service & WRAP.
  10. [10]  Benasciutti, D. and Tovo, R. (2005), Spectral methods for lifetime prediction under wideband stationary random processes, International Journal of Fatigue, 27(8), 867-877.
  11. [11]  Abdullah, S., Nuawi, M.Z., Nizwan, C.K.E., Zaharim, A., and Nopiah, Z.M. (2008), Fatigue life assessment using signal processing techniques, Proc. of 7th WSEAS International Conference on Signal Processing, Robotics and Automation, University of Cambridge, Cambridge, England, 221-225.
  12. [12]  Ricker, D.W. (2003), Echo Signal Processing, Norwell, Massachusetts: Kluwer Academic.
  13. [13]  Marsh, G., Wignall, C., Thies, P.R., Barltrop, N., Incecik, A., Venugopal, V., and Johanning, L. (2016), Review and application of rainflow residue processing techniques for accurate fatigue damage estimation, International Journal of Fatigue, 82(3), 757-765.
  14. [14]  Batsoulas, N.D. (2016), Cumulative fatigue damage: CDM-based engineering rule and life prediction aspect, Steel Research International, 87, 9999.
  15. [15]  Mršnik, M., Slavič, J., and Boltežar, M. (2016), Multiaxial vibration fatigue - a theoretical and experimental comparison, Mechanical Systems and Signal Processing, 76-77, 409-423.
  16. [16]  Lin, Y., Liu, S., Zhao, X., Mao, E., Cao, C., and Suh, C.S. (2017), Fatigue life prediction of engag- ing spur gears using power density, Proc. IMechE Part C: Journal of Mechanical Engineering Science, DOI:10.1177/0954406217751557.
  17. [17]  Qi, X. and Suh, C.S. (2010), Generalized thermo-elastodynamics for semiconductor materials subject to ultrafast heating - part II: near-field response and damage evaluation, International J. of Heat and Mass Transfer, 53, 744-752.
  18. [18]  Oh, Y., Suh, C.S., and Sue, H.J. (2008), On failure mechanisms in flip chip assembly - part 1: short-time scale wave motion, ASME Transactions Journal of Electronic Packaging, 130, 021008-1-11.
  19. [19]  Oh, Y., Suh, C.S., and Sue, H.J. (2008), On failure mechanisms in flip chip assembly - part 2: optimal underfill and interconnecting materials, ASME Transactions Journal of Electronic Packaging, 130, 021009-1-9.
  20. [20]  Inoue, H., Kishimoto, K., and Shibuya, T. (1996), Experimental wavelet analysis of flexural waves in beams, Experimental Mechanics, 36(3), 212-217.
  21. [21]  Nieslony, A. and Macha, E. (2007), Spectral Method in Multiaxial Random Fatigue, New York City, New York: Springer.
  22. [22]  Pitoiset, X. and Preumont, A. (2000), Spectral methods for multiaxial random fatigue analysis of metallic structures, International Journal of Fatigue, 22(7), 541-550.
  23. [23]  Carpinteri, A., Spagnoli, A., and Vantadori, S. (2014), Reformulation in the frequency domain of a critical plane-based multiaxial fatigue criterion, International Journal of Fatigue, 67(1), 55-61.
  24. [24]  Cristofori, A., Benasciutti, D., and Tovo, R. (2011), A stress invariant based spectral method to estimate fatigue life under multiaxial random loading, International Journal of Fatigue, 33(7), 887-899.

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