Scaling parameter for fatigue delamination growth in composites under varying load ratios

Fatigue delamination growth in composite laminates is strongly influenced by mean loads or load ratios. Description of this behaviour currently relies on empirical curve fitting, which renders it difficult to predict fatigue lives of composite structures subjected to variable amplitude fatigue loading. This paper presents a new scaling parameter that is consistent with the similitude concept and incorporates the crack-tip shielding effects of fibre bridging under fatigue loading. Static and fatigue experiments were carried out on IM7/977-3 composite laminates under mode I and mode II. Large-scale fibre bridging was observed as a major toughening mechanism under both static and fatigue loading. To correctly account for the effect of fibre bridging, an inverse method was developed to determine the traction stresses acting in the crack wake. The new scaling parameter, accounting for the effect of bridging by cross-over fibres, is shown to unify the fatigue growth rates under different load ratios obtained in this study.

[1]  M. Wisnom,et al.  A new semi-empirical model for stress ratio effect on mode II fatigue delamination growth , 2011 .

[2]  M. Wisnom,et al.  A new semi-empirical law for variable stress-ratio and mixed-mode fatigue delamination growth , 2013 .

[3]  W. Johnson,et al.  Investigation of fiber bridging in double cantilever beam specimens , 1987 .

[4]  Go Matsubara,et al.  Mode II fatigue crack growth from delamination in unidirectional tape and satin-woven fabric laminates of high strength GFRP , 2006 .

[5]  Chun H. Wang Fracture of interface cracks under combined loading , 1997 .

[6]  Masaki Hojo,et al.  Effect of stress ratio on near-threshold propagation of delimination fatigue cracks in unidirectional CFRP , 1987 .

[7]  Tove Jacobsen,et al.  Large scale bridging in compos-ites: R-curve and bridging laws , 1998 .

[8]  David Hui,et al.  Application of the Hartman–Schijve equation to represent Mode I and Mode II fatigue delamination growth in composites , 2012 .

[9]  J. Botsis,et al.  Bridging tractions in mode I delamination: Measurements and simulations , 2008 .

[10]  T. Anderson,et al.  Fracture mechanics - Fundamentals and applications , 2017 .

[11]  Libin Zhao,et al.  Fatigue delamination growth rates and thresholds of composite laminates under mixed mode loading , 2012 .

[12]  C. Gustafson,et al.  Effect of matrix resin on delamination fatigue crack growth in CFRP laminates , 1994 .

[13]  I. Ashcroft,et al.  Fatigue crack growth acceleration due to intermittent overstressing in adhesively bonded CFRP joints , 2004 .

[14]  L. R. F. Rose,et al.  Self-similar analysis of plasticity-induced closure of small fatigue cracks , 2001 .

[15]  Ronald Krueger,et al.  The Virtual Crack Closure Technique : History , Approach and Applications , 2002 .

[16]  Zhigang Suo,et al.  Delamination R-curve phenomena due to damage , 1992 .

[17]  J. Botsis,et al.  Studies of mode I delamination in monotonic and fatigue loading using FBG wavelength multiplexing and numerical analysis , 2011 .

[18]  H. Hadavinia,et al.  Characterising mode I/mode II fatigue delamination growth in unidirectional fibre reinforced polymer laminates , 2015 .

[19]  R. Benedictus,et al.  EFFECT OF STRESS RATIO ON DELAMINATION GROWTH BEHAVIOR IN UNIDIRECTIONAL CARBON/EPOXY UNDER MODE I FATIGUE LOADING , 2009 .

[20]  Standard Test Method for Measurement of Fatigue Crack Growth Rates 1 , 2016 .

[21]  M. Donough,et al.  Load ratio effects in the fatigue crack propagation of composite laminates and bonded joints , 2014 .

[22]  Rinze Benedictus,et al.  Misinterpreting the Results: How Similitude can Improve our Understanding of Fatigue Delamination Growth , 2011 .

[23]  Wenchen Hu,et al.  A convenient way to represent fatigue crack growth in structural adhesives , 2015 .

[24]  Gretchen B. Murri,et al.  Effect of data reduction and fiber-bridging on Mode I delamination characterization of unidirectional composites , 2014 .

[25]  Rinze Benedictus,et al.  Bridging effect on mode I fatigue delamination behavior in composite laminates , 2014 .

[26]  Joakim Schön,et al.  A model of fatigue delamination in composites , 2000 .

[27]  M. Hojo,et al.  Empirical model for stress ratio effect on fatigue delamination growth rate in composite laminates , 2004 .

[28]  Adrian C. Orifici,et al.  Effect of Disbonds on the Fatigue Endurance of Composite Scarf Joints , 2014 .

[29]  Chun H. Wang,et al.  Plasticity induced crack closure in adhesively bonded joints under fatigue loading , 2015 .

[30]  Standard Test Method for Mode I Interlaminar Fracture Toughness of Unidirectional Fiber-Reinforced Polymer Matrix Composites 1 , 2009 .

[31]  James C. Newman FASTRAN-2: A fatigue crack growth structural analysis program , 1992 .

[32]  Lei Peng,et al.  Mode I delamination growth of multidirectional composite laminates under fatigue loading , 2011 .

[33]  James C. Newman,et al.  Closure of plane‐strain cracks under large‐scale yielding conditions , 2002 .