Effect of strength dispersion on fatigue life prediction of composites under two-stage loading

Abstract Proper prediction of fatigue life is essential for safe design and operation of structures, and optimum maintenance planning. Many of the existing fatigue life models have not considered the degradation of stiffness and strength simultaneously. In this paper, a modified model is developed based on a residual stiffness and strength model. Using the proposed model, remaining fatigue life is predicted for fiber reinforced polymeric composites for two sets of experimental data under two-stage tension–tension loading. The results demonstrate that combining strength and stiffness models and considering the load sequence effect leads to the improvement of accuracy in fatigue life prediction. For better evaluation of the developed model, some existing models are compared with the present study. It is observed that, the predicted values by the proposed model are closer to experimental values in comparison with other models in most cases. To determine the variations of the predicted fatigue lives due to strength scattering, probabilistic assessment is done by Monte-Carlo simulation. This enables the designer to manage the capacity of composite structure for various design loads during the operational life of the structure.

[1]  W. Van Paepegem,et al.  Effects of Load Sequence and Block Loading on the Fatigue Response of Fiber-Reinforced Composites , 2002 .

[2]  Hiroyuki Kawada,et al.  Fatigue characteristics of quasi-isotropic CFRP laminates subjected to variable amplitude cyclic two-stage loading , 2006 .

[3]  J. N. Yang,et al.  Prediction of fatigue damage and life for composite laminates under service loading spectra , 1996 .

[4]  A. Varvani-Farahani,et al.  A Stiffness Degradation Based Fatigue Damage Model for FRP Composites of (0/θ) Laminate Systems , 2010 .

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

[6]  Mohammad Modarres,et al.  Reliability engineering and risk analysis : a practical guide , 2016 .

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

[8]  Sankaran Mahadevan,et al.  Probabilistic fatigue life prediction of multidirectional composite laminates , 2005 .

[9]  John J. Lesko,et al.  Residual strength prediction of composite materials: Random spectrum loading , 2008 .

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

[11]  W. Van Paepegem,et al.  A new coupled approach of residual stiffness and strength for fatigue of fibre-reinforced composites , 2002 .

[12]  John J. Lesko,et al.  Modeling the variable amplitude fatigue of composite materials: A review and evaluation of the state of the art for spectrum loading , 2008 .

[13]  Ki-Weon Kang,et al.  Probabilistic analysis for the fatigue life of carbon/epoxy laminates , 2008 .

[14]  Tai-Yan Kam,et al.  Fatigue reliability analysis of composite laminates under spectrum stress , 1997 .

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

[16]  W. Weibull A Statistical Distribution Function of Wide Applicability , 1951 .

[17]  S. Mahadevan,et al.  Fatigue damage modelling of composite materials , 2002 .

[18]  J. A. Mohandesi,et al.  Fatigue damage accumulation in carbon/epoxy laminated composites , 2009 .

[19]  Ali Mosleh,et al.  Methodology for the use of experimental data to enhance model output uncertainty assessment in thermal hydraulics codes , 2010, Reliab. Eng. Syst. Saf..

[20]  Theodore P. Philippidis,et al.  Strength Degradation due to Fatigue in Fiber Dominated Glass/Epoxy Composites: A Statistical Approach , 2009 .

[21]  Y. Weixing,et al.  A Model of the Fatigue Life Distribution of Composite Laminates Based on Their Static Strength Distribution , 2008 .

[22]  W. Hwang,et al.  Statistical study of strength and fatigue life of composite materials , 1987 .

[23]  H. Whitworth,et al.  Modeling Stiffness Reduction of Graphite/Epoxy Composite Laminates , 1987 .

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

[25]  John J. Lesko,et al.  Modeling the remaining strength of structural composite materials subjected to fatigue , 2006 .

[26]  Ali Mosleh,et al.  Structured treatment of model uncertainty in complex thermal-hydraulics codes: Technical challenges, prospective and characterization , 2011 .

[27]  Theodore P. Philippidis,et al.  Residual strength after fatigue in composites: Theory vs. experiment , 2007 .

[28]  Fuqiang Wu,et al.  A fatigue damage model of composite materials , 2010 .

[29]  N. Himmel,et al.  A new cumulative fatigue damage model for fibre-reinforced plastics , 2000 .