Fatigue Life Prediction Based on Crack Closure and Equivalent Initial Flaw Size

Failure analysis and fatigue life prediction are necessary and critical for engineering structural materials. In this paper, a general methodology is proposed to predict fatigue life of smooth and circular-hole specimens, in which the crack closure model and equivalent initial flaw size (EIFS) concept are employed. Different effects of crack closure on small crack growth region and long crack growth region are considered in the proposed method. The EIFS is determined by the fatigue limit and fatigue threshold stress intensity factor △Kth. Fatigue limit is directly obtained from experimental data, and △Kth is calculated by using a back-extrapolation method. Experimental data for smooth and circular-hole specimens in three different alloys (Al2024-T3, Al7075-T6 and Ti-6Al-4V) under multiple stress ratios are used to validate the method. In the validation section, Semi-circular surface crack and quarter-circular corner crack are assumed to be the initial crack shapes for the smooth and circular-hole specimens, respectively. A good agreement is observed between model predictions and experimental data. The detailed analysis and discussion are performed on the proposed model. Some conclusions and future work are given.

[1]  C. A. Rodopoulos,et al.  Optimisation of the fatigue resistance of 2024-T351 aluminium alloys by controlled shot peening-methodology, results and analysis , 2004 .

[2]  A. G. Chegini,et al.  A numerical study of plasticity induced crack closure under plane strain conditions , 2015 .

[3]  R. Pippan,et al.  CRACK CLOSURE: A CONCEPT OF FATIGUE CRACK GROWTH UNDER EXAMINATION , 1997 .

[4]  Jed Lyons,et al.  Laser and shot peening effects on fatigue crack growth in friction stir welded 7075-T7351 aluminum alloy joints , 2007 .

[5]  M. E. Haddad,et al.  Prediction of non propagating cracks , 1979 .

[6]  Wei Zhang,et al.  In situ SEM testing for crack closure investigation and virtual crack annealing model development , 2012 .

[7]  John W. Hutchinson,et al.  Analysis of Closure in Fatigue Crack Growth , 1978 .

[8]  Seong-Gu Hong,et al.  Application of local stress–strain approaches in the prediction of fatigue crack initiation life for cyclically non-stabilized and non-Masing steel , 2005 .

[9]  P. Bowen,et al.  On the finite element simulation of three-dimensional semi-circular fatigue crack growth and closure , 1998 .

[10]  John A. Newman,et al.  A Novel Approach to Rotorcraft Damage Tolerance , 2002 .

[11]  D. McDowell,et al.  Microstructure-sensitive extreme-value probabilities of high-cycle fatigue for surface vs. subsurface crack formation in duplex Ti–6Al–4V , 2012 .

[12]  G. T. Cashman,et al.  Competing failure modes and complex S–N curves in fatigue of structural materials , 2010 .

[13]  W. Elber The Significance of Fatigue Crack Closure , 1971 .

[14]  Yongming Liu,et al.  Probabilistic fatigue life prediction using an equivalent initial flaw size distribution , 2009 .

[15]  J. Newman A crack opening stress equation for fatigue crack growth , 1984 .

[16]  John E. Allison,et al.  Effects of microstructure and temperature on fatigue behavior of E319-T7 cast aluminum alloy in very long life cycles , 2006 .

[17]  J. Newman,et al.  Fatigue-Life Prediction Method Based on Small-Crack Theory in an Engine Material , 2012 .

[18]  Brigitte Weiss,et al.  Contribution of the cyclic loading portion below the opening load to fatigue crack growth , 1996 .

[19]  Tianwen Zhao,et al.  Fatigue of 7075-T651 aluminum alloy , 2008 .

[20]  S. Pearson Initiation of fatigue cracks in commercial aluminium alloys and the subsequent propagation of very short cracks , 1975 .

[21]  Weicheng Cui,et al.  An engineering model of fatigue crack growth under variable amplitude loading , 2008 .

[22]  A. K. Vasudevan,et al.  Reconsideration of fatigue crack closure , 1992 .

[23]  J. C. Newman,et al.  Fatigue-Life Prediction Methodology Using a Crack-Closure Model , 1995 .

[24]  Jia Zhen Zhang,et al.  Direct high resolution in situ SEM observations of very small fatigue crack growth in the ultra-fine grain aluminium alloy IN 9052 , 2004 .

[25]  B. Weiss,et al.  The effective fatigue threshold: significance of the loading cycle below the crack opening load , 1994 .

[26]  J. Newman,et al.  Fatigue-life prediction methodology using small-crack theory , 1999 .

[27]  J. Newman,et al.  Stress-intensity factor equations for cracks in three-dimensional finite bodies subjected to tension and bending loads , 1984 .

[28]  E. R. Rios,et al.  The Behaviour of short fatigue cracks , 1986 .

[29]  Claude Bathias,et al.  An understanding of very high cycle fatigue of metals , 2003 .

[30]  G. Farrahi,et al.  EFFECT OF SHOT PEENING ON RESIDUAL STRESS AND FATIGUE LIFE OF A SPRING STEEL , 1995 .

[31]  Brad L. Boyce,et al.  Effect of load ratio and maximum stress intensity on the fatigue threshold in Ti–6Al–4V , 2001 .

[32]  Z. G. Wang,et al.  Effect of microstructure on ultra-high cycle fatigue behavior of Ti-6Al-4V , 2008 .

[33]  Royce Forman,et al.  Fatigue Crack Growth Database for Damage Tolerance Analysis , 2005 .

[34]  A. Merati,et al.  Determination of fatigue related discontinuity state of 7000 series of aerospace aluminum alloys , 2007 .

[35]  Brigitte Weiss,et al.  A model for crack closure , 1996 .

[36]  A. Chamos,et al.  Fatigue behaviour of bare and pre-corroded magnesium alloy AZ31 , 2010 .

[37]  J. Newman,et al.  Stress-Intensity Factor Equations for Cracks in Three-Dimensional Finite Bodies , 1983 .

[38]  Steve Lambert,et al.  A study of the stress ratio effects on fatigue crack growth using the unified two-parameter fatigue crack growth driving force , 2007 .

[39]  Wei Zhang,et al.  Investigation of incremental fatigue crack growth mechanisms using in situ SEM testing , 2012 .

[40]  Gunnar Härkegård,et al.  Fatigue life distribution and size effect in ductile cast iron for wind turbine components , 2011 .

[41]  D. L. Chen,et al.  A new evaluation procedure for crack closure , 1991 .

[42]  B. R. Krasnowski,et al.  A Damage Tolerance Method for Helicopter Dynamic Components , 1991 .

[43]  D. L. Chen,et al.  Effect of stress ratio and loading condition on the fatigue threshold , 1992 .

[44]  Lee,et al.  The effect of pitting corrosion on fatigue life , 2000 .

[45]  Jaap Schijve,et al.  Fatigue of structures and materials , 2001 .

[46]  Kumar V. Jata,et al.  Effects of pitting corrosion on the fatigue behavior of aluminum alloy 7075-T6: modeling and experimental studies , 2001 .

[47]  Daoxin Liu,et al.  Effect of shot peening on fretting fatigue of Ti811 alloy at elevated temperature , 2009 .

[48]  J. Newman A crack-closure model for predicting fatigue crack growth under aircraft spectrum loading , 1981 .