A CRITICAL ASSESSMENT OF KASSAPOGLOU'S STATISTICAL MODEL FOR COMPOSITES FATIGUE

Michele Ciavarella, Giuseppe Carbone, Vladimir Vinogradov

DOI Number
https://doi.org/10.22190/FUME180321014C
First page
115
Last page
126

Abstract


Kassapoglou has recently proposed a model for fatigue of composite materials which seems to suggest that the fatigue SN curve can be fully predicted on the basis of the statistical distribution of static strengths. The original abstract writes expressions for the cycles to failure as a function of R ratio are derived. These expressions do not require any curve fitting and do not involve any experimentally determined parameters. The fatigue predictions do not require any fatigue tests for calibration". These surprisingly ambitious claims and attractive results deserve careful scrutiny. We contend that the result, which originates from the reliability theory where exponential distributions is sometimes used to model distribution of failures when age (or wearout) has no influence on the probability of failure, does not conform to a fatigue testing with the resulting SN curve distribution. Despite Kassapoglou's attempt to use a wearout law which seems to confirm this result even with wearout, we contend that a proper statistical treatment of the fatigue process should not make wear-out constants disappear, and hence the SN curves would depend on them, and not just on scatter of static data. These concerns explain the large discrepancies found by 3 independent studies which have tried to apply Kassapoglou's model to composite fatigue data.


Keywords

Composite Materials, Fatigue, Wearout Models, Kassapoglou Model, Strength-life Equal Rank, Statistics

Full Text:

PDF

References


Hahn, H.T., Kim, R.Y., 1975, Proof testing of composite materials. J Composite Materials, 9, pp. 297-311.

Sendeckyj, G.P., 1981, Fitting models to composite materials fatigue data. test methods and design allowables for fibrous composites, In: Chamis, C.C. (ed), ASTM STP 734. Philadelphia, PA: American Society for Testing and Materials, pp. 245-260.

Kassapoglou, C., 2007, Fatigue life prediction of composite structures under constant amplitude loading, J of Composite Materials, 41, pp. 2737-2754.

Kassapoglou, C., 2011, fatigue model for composites based on the cycle-by-cycle probability of failure: implications and applications, J of Composite Materials, 45, pp. 261-277.

Kassapoglou, C., 2012, Predicting the structural performance of composite structures under cyclic loading, PhD Thesis, Delft Univ of Technology, Netherlands

Juvinall, R.C., Marshek, K.M., 2011, Fundamentals of machine component design, 5th ed. John Wiley & Sons Inc, USA.

Lee, J-W., Daniel, I.M., Yaniv, G., 1989, Fatigue life prediction of cross-ply composite laminates. In: Lagace, P.A. (ed), Composite Materials: Fatigue and Fracture, Second Volume. ASTM STP 1012, Philadelphia, PA: American Society for Testing and Materials, pp. 19-28.

Gathercole, N., Reiter, H., Adam, T., Harris, B., 1994, Life prediction for fatigue of T800/5245 carbon-fibre composites: I. Constant amplitude loading, Fatigue, 16, pp. 523-532.

Amijima, S., Fujii, T., Hamaguchi, M., 1991, Static and fatigue tests of a woven glass fabric composite under biaxial tension-torsion, Composites, 22, pp. 281-289.

Cvitkovich, M.K., O'Brien, T.K., Minguet, P.J., 1998, Fatigue debonding characterization in composite skin/stringer configurations, In: Cucinell, R.B. (ed.), ASTM STP 1330, Philadelphia, PA: American Society for Testing and Materials, pp. 97--121.

O'Brien, T.K., 1988, Fatigue delamination behavior of peek thermoplastic composite laminates, J. Reinforced Plastics and Composites, 7, pp. 341-359.

O'Brien, T.K., Rigamonti, M., Zanotti, C., 1988, Tension fatigue analysis and life prediction for composite laminates, Hampton, VA: National Aeronautics and Space Administration. Technical Memorandum 100549

Maier, G., Ott, H, Protzner, A., Protz, B., 1986, Damage development in carbon fibre-reinforced polyimides in fatigue loading as a function of stress ratio, Composites, 17, pp. 111--120.

Gerharz, J.J., Rott, D., Schuetz, D., 1979, Schwingfestigkeitsuntersuchungen an Fuegungen in Faserbauweise, BMVg-FBWT, pp. 79-23.

Tomblin, J., Seneviratne, W., 2011, Determining the fatigue life of composite aircraft structures using life and load-enhancement factors, Report DOT/FAA/AR-10/6. Federal Aviation Administration, National Technical Information Service, Springfield, USA, www.tc.faa.gov/its/worldpac/techrpt/ar10-6.pdf (last access: 12.03.2018)

Vassilopoulos, A.P., Keller, T., 2011, Fatigue of fiber-reinforced composites, London: Springer-Verlag, UK

Andersons, J., Paramonov, Yu., 2011, Applicability of empirical models for evaluation of stress ratio effect on the dura.bility of fiber-reinforced creep rupture-susceptible composites, J Mater Sci, 46, pp. 1705-1713.

Fleck, N.A, Kang, K.J., Ashby, M.F., 1994, Overview no. 112: The cyclic properties of engineering materials, Acta Metallurgica et Materialia, 42, pp. 365-381.

Whitehead, R.S., Kan, H.P., Cordero, R., Saether, E.S., 1986, Certification Testing Methodology for Composite Structures, Vol I and II. Naval Air Development Centre Report No. 87042-60 (DOT/FAA/CT-86-39), http://www.dtic.mil/dtic/tr/fulltext/u2/b112288.pdf (last access: 15.03.2018)

Kassapoglou, C., Kaminski, M., 2011, Modeling damage and load redistribution in composites under tension-tension fatigue loading, Composites: A, 42, pp. 1783-1792.

D'Amore, A., Caprino, G., Stupak, P., Zhou, J., Nicolais, L., 1996, Effect of stress ratio on the flexural fatigue behaviour of continuous strand mat reinforced plastics, Science and Engineering of Composite Materials, 5, pp. 1-8.

Caprino, G., D'Amore, A., 1998, Flexural fatigue behaviour of random continuous fibre reinforced thermoplastic composites, Composite Science and Technology, 58, pp. 957-965.

D'Amore, A., Caprino, G., Nicolais, L., Marino, G., 1999, Long-term behaviour of PEI and PEI-based composites subjected to physical aging. Composites Science and Technology, 59, 1993-200.

Post, N.L., 2005, Modeling the Residual Strength Distribution of Structural GFRP Composite Materials Subjected to Constant and Variable Amplitude Tension-Tension Fatigue Loading, PhD Thesis, University of Virginia. Blacksburg, Virginia, USA




DOI: https://doi.org/10.22190/FUME180321014C

Refbacks

  • There are currently no refbacks.


ISSN: 0354-2025 (Print)

ISSN: 2335-0164 (Online)

COBISS.SR-ID 98732551

ZDB-ID: 2766459-4