An equivalent stress level model for efficient fatigue crack growth prediction

A general probabilistic fatigue crack growth prediction methodology under random variable loading is developed using a novel equivalent stress level model and the inverse first-orderreliability method (IFORM). The proposed equivalent stress level model is based on the equivalent transformation of a random variable loading to constant amplitude loading, which avoid cycle-by-cycle calculation. An inverse first-order reliability method (IFORM) is used to evaluate the fatigue crack growth at any arbitrary reliability level. Inverse FORM method reduces the number of function evaluations and the computational cost is significantly reduced. The proposed method is very suitable for real-time damage prognosis and on-line decision making. Numerical examples are used to demonstrate the proposed method. Various experimental data under variable amplitude loading are collected and model predictions are compared with experimental data for model validation.

[1]  Zizi Lu,et al.  Small time scale fatigue crack growth analysis , 2010 .

[2]  N. Dowling Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue , 1993 .

[3]  T. R. Porter,et al.  Method of analysis and prediction for variable amplitude fatigue crack growth , 1972 .

[4]  S. Pommier Cyclic plasticity and variable amplitude fatigue , 2003 .

[5]  Daniel Kujawski,et al.  A new (ΔK+Kmax)0.5 driving force parameter for crack growth in aluminum alloys , 2001 .

[6]  P Willems,et al.  Probabilistic modelling of overflow, surcharge and flooding in urban drainage using the first-order reliability method and parameterization of local rain series. , 2008, Water research.

[7]  Sankaran Mahadevan,et al.  Stochastic fatigue damage modeling under variable amplitude loading , 2007 .

[8]  J. Willenborg,et al.  A Crack Growth Retardation Model Using an Effective Stress Concept , 1971 .

[9]  Carl E. Rasmussen,et al.  Gaussian processes for machine learning , 2005, Adaptive computation and machine learning.

[10]  Xu Xiaofei,et al.  Cumulative fatigue damage dynamic interference statistical model , 1995 .

[11]  Pravat Kumar Ray,et al.  Prediction of fatigue crack growth and residual life using an exponential model: Part II (mode-I overload induced retardation) , 2009 .

[12]  Armen Der Kiureghian,et al.  Inverse Reliability Problem , 1994 .

[13]  O. E. Wheeler Spectrum Loading and Crack Growth , 1972 .

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

[15]  Leon Cizelj,et al.  Application of first and second order reliability methods in the safety assessment of cracked steam generator tubing , 1994 .

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

[17]  Yongming Liu,et al.  Efficient Methods for Time-Dependent Fatigue Reliability Analysis , 2009 .

[18]  A. U. De Koning,et al.  A Simple Crack Closure Model for Prediction of Fatigue Crack Growth Rates Under Variable-Amplitude Loading , 1981 .

[19]  Y. Xiang,et al.  Inverse First-Order Reliability Method for Probabilistic Fatigue Life Prediction of Composite Laminates under Multiaxial Loading , 2011 .

[20]  Qiusheng Li,et al.  Reliability analysis of a long span steel arch bridge against wind-induced stability failure during construction , 2009 .

[21]  A. U. De Koning,et al.  Prediction of fatigue crack growth rates under variable loading using a simple crack closure model , 1981 .

[22]  G. Glinka,et al.  Elastic-plastic fatigue crack growth analysis under variable amplitude loading spectra , 2009 .

[23]  A. Ray A state-space model of fatigue crack growth for real-time structural health management , 2000, 19th DASC. 19th Digital Avionics Systems Conference. Proceedings (Cat. No.00CH37126).

[24]  Rosenfeld Damage Tolerance in Aircraft Structures , 1971 .

[25]  R. Ritchie,et al.  Mechanisms for the retardation of fatigue cracks following single tensile overloads: behavior in aluminum-lithium alloys , 1988 .

[26]  P. F. Packman,et al.  On the influence of single and multiple peak overloads on fatigue crack propagation in 7075-T6511 aluminum , 1973 .

[27]  Robert E. Melchers,et al.  Effect of reinforcement corrosion on reliability of highway bridges , 1998 .

[28]  Tai-Yan Kam,et al.  FATIGUE RELIABILITY EVALUATION FOR COMPOSITE LAMINATES VIA A DIRECT NUMERICAL INTEGRATION TECHNIQUE , 1998 .

[29]  David Andrew Barry,et al.  Assessing uncertainty in subsurface solute transport: efficient first-order reliability methods , 1995 .

[30]  R. Rackwitz,et al.  Structural reliability under combined random load sequences , 1978 .

[31]  Achintya Haldar,et al.  Probability, Reliability and Statistical Methods in Engineering Design (Haldar, Mahadevan) , 1999 .