Residual strength after fatigue in composites: Theory vs. experiment

State-of-the-art phenomenological residual strength models are discussed in this paper. The presentation focus is on probabilistic and deterministic theories that predict strength degradation under various loading conditions. In an effort to improve the predictions, simple modifications on existing models as well as a new one are implemented in computational schemes and predictions are compared to experimental data from C/Ep and Gl/Ep laminates. Theoretical aspects either as deterministic degradation curves or probability distributions are evaluated. The results show that no model is consistent in accurately predicting residual strength degradation behaviour of the different composite laminates, even though some models appear to be more fit to purpose. Statistical predictions at various stress levels and life fractions are also poor. The main conclusion is that the use of complicated phenomenological models requiring large experimental data sets for implementation does not necessarily pay back in terms of accurate predictions and consequently simple models requiring limited experimental effort should be preferred.

[1]  T. Philippidis,et al.  Probabilistic failure prediction for FRP composites , 1998 .

[2]  Larry Lessard,et al.  Multiaxial fatigue behaviour of unidirectional plies based on uniaxial fatigue experiments — I. Modelling , 1997 .

[3]  Barry D. Davidson,et al.  Life Prediction Methodology for Composite Structures. Part I—Constant Amplitude and Two-Stress Level Fatigue , 1997 .

[4]  J. Whitney,et al.  Fatigue Characterization of Composite Materials , 1979 .

[5]  K. Reifsnider,et al.  Fatigue Damage Evaluation through Stiffness Measurements in Boron-Epoxy Laminates , 1981 .

[6]  Shanyi Du,et al.  An Exploratory Study Into the Fatigue of Composites Under Spectrum Loading , 1983 .

[7]  Isaac M Daniel,et al.  Damage Mechanisms and Accumulation in Graphite/Epoxy Laminates, , 1986 .

[8]  J. Halpin,et al.  Kinetic fracture models and structural reliability , 1972 .

[9]  Robert Croman,et al.  Residual Strength in Fatigue Based on the Strength-Life Equal Rank Assumption , 1978 .

[10]  Kenneth Reifsnider,et al.  A Critical-Element Model of the Residual Strength and Life of Fatigue-Loaded Composite Coupons , 1986 .

[11]  J. N. Yang,et al.  Fatigue and Residual Strength Degradation for Graphite/Epoxy Composites Under Tension-Compression Cyclic Loadings , 1978 .

[12]  J. N. Yang,et al.  Statistical fatigue of unnotched composite laminates , 1980 .

[13]  Larry Lessard,et al.  Multiaxial fatigue behaviour of unidirectional plies based on uniaxial fatigue experiments—II. Experimental evaluation , 1997 .

[14]  Kenneth Reifsnider,et al.  The mechanics of composite strength evolution , 2000 .

[15]  E. K. Gamstedt,et al.  An experimental investigation of the sequence effect in block amplitude loading of cross-ply composite laminates , 2002 .

[16]  J.N. Yang,et al.  Residual Strength Degradation Model and Theory of Periodic Proof Tests for Graphite/Epoxy Laminates* , 1977 .

[17]  Jn Yang,et al.  Fatigue of graphite/epoxy /0/90/45/-45/s laminates under dual stress levels , 1982 .

[18]  Lj Broutman,et al.  A New Theory to Predict Cumulative Fatigue Damage in Fiberglass Reinforced Plastics , 1972 .

[19]  J. N. Yang,et al.  Proof Test and Fatigue of Unnotched Composite Laminates , 1980 .

[20]  John F. Mandell,et al.  Spectrum Fatigue Lifetime and Residual Strength for Fiberglass Laminates , 2002 .

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

[22]  Marino Quaresimin,et al.  Two‐stage fatigue loading of woven carbon fibre reinforced laminates , 2003 .

[23]  Douglas L. Jones,et al.  Statistical Fatigue of Graphite/Epoxy Angle-Ply Laminates in Shear1 , 1978 .

[24]  Kenneth Reifsnider,et al.  An Investigation of Cumulative Damage Development in Quasi-Isotropic Graphite/Epoxy Laminates , 1982 .

[25]  K. Radhakrishnan,et al.  Fatigue and Reliability Evaluation of Unnotched Carbon Epoxy Laminates , 1984 .

[26]  Barry D. Davidson,et al.  Life Prediction Methodology for Composite Structures. Part II—Spectrum Fatigue , 1997 .

[27]  J. N. Yang,et al.  Effect of Load Sequence on the Statistical Fatigue of Composites , 1980 .

[28]  R. K. Miller,et al.  Effect of High Load on Statistical Fatigue of Unnotched Graphite/Epoxy Laminates* , 1980 .

[29]  Kenneth Reifsnider,et al.  Fatigue life of individual composite specimens based on intrinsic fatigue behavior , 1997 .

[30]  Kenneth Reifsnider,et al.  The critical element model: A modeling philosophy , 1986 .

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

[32]  Pc Chou,et al.  Degradation and Sudden-Death Models of Fatigue of Graphite/Epoxy Composites , 1979 .

[33]  Jayantha Ananda Epaarachchi,et al.  A new cumulative fatigue damage model for glass fibre reinforced plastic composites under step/discrete loading , 2005 .

[34]  J. N. Yang Reliability Prediction for Composites Under Periodic Proof Tests in Service , 1977 .

[35]  Larry Lessard,et al.  Statistical model for multiaxial fatigue behavior of unidirectional plies , 1999 .

[36]  G. Sendeckyj,et al.  Life Prediction for Resin-Matrix Composite Materials , 1991 .