Composites Research

The Korean Society for Composite Materials (한국복합재료학회)
권호 표지
DOI QR코드

DOI QR Code

Cumulative Damage Theory in Fatigue of Graphite/Epoxy [±45]s Composites

  • An, Deuk Man (Mechanical Engineering Department Pusan National University)
  • Received : 2015.05.06
  • Accepted : 2015.08.27
  • Published : 2015.08.31
Download PDF
⟨ Previous Next ⟩

Abstract

The phenomenological evolution laws of damage can be defined either based on residual life or residual strength. The failure of a specimen can be defined immediately after or before fracture. The former is called in this paper by "failure defined by approach I" and the latter "failure defined by approach II." Usually at failure there is a discontinuity of loading variables and, because of this, damage at failure is discontinuous. Therefore the values of damage at failure by two different approaches are not the same. Based on this idea the sequence effects of the phenomenological evolution law of damage given by $dD/dN=g(D)f({\Phi})$ were studied. Thin-walled graphite/epoxy tubes consisting of four of $[{\pm}45]_s$ laminates were used for the experimental study of sequence effects and the effects of mean stress on fatigue life. It was found that the sequence effects in two step uniaxial fatigue for $[{\pm}45]_s$ graphite/epoxy tubular specimen showed that a high-low block loading sequence was less damaging than a low-high one.

Keywords

References

  1. Stephens, R.I., Fatemi, A., Stephens, R.R., and Fuchs, O., "Metal Fatigue in Engineering", 2nd Edition, John Wiley & Sons, Inc., New York, 2001.
  2. Krajcinovic, D. and Srinivasan, M.G., "Observations on Damage and Plasticity," Workshop on a Continuum Mechanics Approach to Damage and Life Prediction, edited by Stouffer, D.C. et al., May 4-7, 1980, General Butler State Lodge, Carrollton, Kentucky, pp. 88-89.
  3. Lemaitre, J., "How to Use Damage Mechanics," Nuclear Engineering and Design, Vol. 80, 1984, pp. 233-245. https://doi.org/10.1016/0029-5493(84)90169-9
  4. Palmgren, A.Z., Die Lebensdauer von Kugellagern, Z. ver. Deutch. Ing. Vol. 68, 1924, pp. 339-341.
  5. Miner, M.A., "Cumulative Damage in Fatigue", Journal of Applied Mechanics, Vol. 12, 1945, pp. A159-A164.
  6. Ben-Amoz, M. and Bui-Quoc, T., "Discussion of a Reinterpretation of the Palmgren-Miner Rule for Fatigue Life Prediction," Journal of Applied Mechanics, Vol. 48, 1981, pp. 446-448. https://doi.org/10.1115/1.3157644
  7. Yang, J.N. and Jones, D.L., "Effect of Load Sequence on the Statistical Fatigue of Composites, AIAA, 18, No. 12, Dec. 1980, pp. 1525-1531. https://doi.org/10.2514/3.50912
  8. Hashin, Z. and Rotem, A., "A Cumulative Damage Theory of Fatigue Failure," Materials Science and Engineering, Vol. 34, 1978, pp. 147-160. https://doi.org/10.1016/0025-5416(78)90045-9
  9. Hashin, Z., "A Reinterpretation of the Palmgren-Miner Rule for Fatigue Life Prediction," ASME Journal of Applied Mechanics, Vol. 47, 1980, pp. 324-328. https://doi.org/10.1115/1.3153663
  10. Subramanyan, S., "A Cumulative Damage Rule Based on the Knee Point of the S-N Curve," ASME Journal of Engineering Materials and Technology, Vol. 98, 1976, pp. 316-321. https://doi.org/10.1115/1.3443383
  11. Broutman, L.J. and Sahu, S., "A New Theory to Predict Cumulative Fatigue Damage in Fbierglass Reinforced Plastics," ASTM STP 497, 1972, pp. 170-188.
  12. Bogganoff, J.L., "A New Cumulative Damage Model, Part 1," ASME Journal of Applied Mechanics, Vol. 45, 1978, pp. 246-250. https://doi.org/10.1115/1.3424282
  13. Hashin, Z., "Statistical Cumulative Damage Theory for Fatigue Life Prediction," ASME Journal of Applied Mechanics, Vol. 50, 1983, pp. 571-579. https://doi.org/10.1115/1.3167093
  14. Yang, J.N. and Jones, D.L., "Load Sequence Effects on the Fatigue of Unnotched Composite Materials," Fatigue of Fibrous Composite Materials, ASTM STP 723, 1981, pp. 213-232.
  15. Chou, P.C., "A Cumulative Damage Rule for Fatigue Composite Materials," Modern Development in Composite Materials and Structure, ed. by J. R. Vinson, ASME, 1984, pp. 343-356.
  16. Bengtsson, A. and Rychlik, I., "Uncertainty in Fatigue Life Prediction of Structures Suject to Gaussian Loads," Probabilistic Engineering Mechanics, Vol. 24, 2009, pp.224-235. https://doi.org/10.1016/j.probengmech.2008.06.004
  17. Rychlik, I. and Gupta, S., "Rain-flow fatigue Damage for Transformed Gaussian Loads," International Journal of Fatigue, Vol. 29, 2007, pp. 406-420. https://doi.org/10.1016/j.ijfatigue.2006.05.006
  18. Bui, H.D., Dang Van, K., and de Langre, E., "A Simplified Analysis of Creep Crack Growth Using Local Approach," International Seminar on Local Approach of Fracture, Moret-sur-Loing, France, June 3-5, 1986, pp. 373-388.
  19. Bui-Quoc, T., "An Engineering Approach for Cumulative Damage in Metals under Creep Loading," Journal of Engineering Materials and Technology, Vol. 101, 1979, pp. 337-343. https://doi.org/10.1115/1.3443699
  20. Paris, P.C. and Erodogan, F., "A Critical Analysis of Crack Propagation Laws," ASME Journal of Basic Engineering, Ser. D, 85, No. 3, 1963, pp. 528. https://doi.org/10.1115/1.3656900
  21. Ostergren, W.J. and Krempl, E., "A Uniaxial Damage Accumulation Law for Time-Varying Loading Including Creep-Fatigue Interaction," ASME Journal of Pressure Vessel Technology, Vol. 101, 1979, pp. 118-124. https://doi.org/10.1115/1.3454610
  22. Niu, T.-M., "Biaxial Fatigue of Graphite/Epoxy $[{\pm}45]_s$ Tubes," Ph.D. thesis, Rensselaer Polytechnic Institute, 1983.
  23. Ayar, Tahir, "Biaxial Fatigue of Graphite/Epoxy $[0/{\pm}45]_s$ Tubes," Master's Thesis, Rensselaer Polytechnic Institute, 1984.

Cited by

  1. Interlaminar Normal Stress Effects in Cylindrical Tubular Specimens of Graphite/Epoxy [±45]s Composites vol.30, pp.6, 2015, https://doi.org/10.7234/composres.2017.30.6.406