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

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.

[1]  Their Composites,et al.  Test methods and design allowables for fibrous composites , 1981 .

[2]  T. Fujii,et al.  Static and fatigue tests of a woven glass fabric composite under biaxial tension-torsion loading , 1991 .

[3]  Anastasios P. Vassilopoulos,et al.  Fatigue of Fiber-reinforced Composites , 2011 .

[4]  G. Sendeckyj,et al.  Fitting Models to Composite Materials Fatigue Data , 1981 .

[5]  Alberto D'Amore,et al.  Flexural fatigue behaviour of random continuous-fibre-reinforced thermoplastic composites , 1998 .

[6]  Michael F. Ashby,et al.  Overview no. 112: The cyclic properties of engineering materials , 1994 .

[7]  Robert C. Juvinall,et al.  Fundamentals of machine component design , 1983 .

[8]  L. Nicolais,et al.  Effect of Stress Ratio on the Flexural Fatigue Behaviour of Continuous Strand Mat Reinforced Plastics , 1996 .

[9]  M.Ciavarella,et al.  A critical assessment on Kassapoglou's statistical model for composites fatigue , 2013, 1310.1455.

[10]  J. Andersons,et al.  Applicability of empirical models for evaluation of stress ratio effect on the durability of fiber-reinforced creep rupture–susceptible composites , 2011 .

[11]  T. Adam,et al.  Life prediction for fatigue of T800/5245 carbon-fibre composites: I. Constant-amplitude loading , 1994 .

[12]  C. Kassapoglou Fatigue Life Prediction of Composite Structures Under Constant Amplitude Loading , 2007 .

[13]  G. Maier,et al.  Damage development in carbon fibre-reinforced polyimides in fatigue loading as a function of stress ratio , 1986 .

[14]  H. Hahn,et al.  Proof Testing of Composite Materials , 1975 .

[15]  R S Whitehead CERTIFICATION TESTING METHODOLOGY FOR COMPOSITE STRUCTURE , 1986 .

[16]  T. O'brien,et al.  Fatigue Delamination Behavior of PEEK Thermoplastic Composite Laminates , 1988 .

[17]  M. Rigamonti,et al.  Tension fatigue analysis and life prediction for composite laminates , 1989 .

[18]  Kurt M. Marshek,et al.  Fundamentals of Machine Component Design , 1991 .

[19]  T. Adam,et al.  Life prediction for fatigue of T800/5245 carbon-fibre composites: I. Constant-amplitude loading , 1994 .

[20]  Pierre J. A. Minguet,et al.  Fatigue Debonding Characterization in Composite Skin/Stringer Configurations , 1998 .

[21]  C. Kassapoglou Fatigue Model for Composites Based on the Cycle-by-cycle Probability of Failure: Implications and Applications , 2011 .

[22]  C. Kassapoglou,et al.  Modeling damage and load redistribution in composites under tension–tension fatigue loading , 2011 .

[23]  C. Kassapoglou,et al.  Predicting the Structural Performance of Composite Structures Under Cyclic Loading , 2012 .

[24]  L. Nicolais,et al.  Long-term behaviour of PEI and PEI-based composites subjected to physical aging , 1999 .