A Comparison Study of Machine Learning Based Algorithms for Fatigue Crack Growth Calculation

The relationships between the fatigue crack growth rate (da/dN) and stress intensity factor range (ΔK) are not always linear even in the Paris region. The stress ratio effects on fatigue crack growth rate are diverse in different materials. However, most existing fatigue crack growth models cannot handle these nonlinearities appropriately. The machine learning method provides a flexible approach to the modeling of fatigue crack growth because of its excellent nonlinear approximation and multivariable learning ability. In this paper, a fatigue crack growth calculation method is proposed based on three different machine learning algorithms (MLAs): extreme learning machine (ELM), radial basis function network (RBFN) and genetic algorithms optimized back propagation network (GABP). The MLA based method is validated using testing data of different materials. The three MLAs are compared with each other as well as the classical two-parameter model (K* approach). The results show that the predictions of MLAs are superior to those of K* approach in accuracy and effectiveness, and the ELM based algorithms show overall the best agreement with the experimental data out of the three MLAs, for its global optimization and extrapolation ability.

[1]  Daniel Kujawski,et al.  A fatigue crack driving force parameter with load ratio effects , 2001 .

[2]  R. Mcclung The influence of applied stress, crack length, and stress intensity factor on crack closure , 1991 .

[3]  K. Sadananda,et al.  Analysis of Fatigue Crack Closure and Thresholds , 1995 .

[4]  P. C. Paris,et al.  A Critical Analysis of Crack Propagation Laws , 1963 .

[5]  Torgeir Moan,et al.  Improved modeling of the effect of R-ratio on crack growth rate , 2007 .

[6]  H. J. Rack,et al.  A neural network approach to elevated temperature creep–fatigue life prediction , 1999 .

[7]  B. K. Mishra,et al.  Fatigue crack growth simulations of interfacial cracks in bi-layered FGMs using XFEM , 2013 .

[8]  K. V. Sudhakar,et al.  Prediction of corrosion-fatigue behavior of DP steel through artificial neural network , 2001 .

[9]  Wei Wang,et al.  Reliability analysis using radial basis function networks and support vector machines , 2011 .

[10]  Ji-Ho Song,et al.  Crack closure and growth behavior of physically short fatigue cracks under random loading , 2000 .

[11]  Aiwina Soong Yin Heng Intelligent prognostics of machinery health utilising suspended condition monitoring data , 2009 .

[12]  K. S. Ravichandran,et al.  Effect of mean stress (stress ratio) and aging on fatigue-crack growth in a metastable beta titanium alloy, Ti-10V-2Fe-3Al , 2000 .

[13]  E. Wolf Fatigue crack closure under cyclic tension , 1970 .

[14]  R. Forman,et al.  Numerical Analysis of Crack Propagation in Cyclic-Loaded Structures , 1967 .

[15]  J. C. Newman,et al.  Small-Crack Effects in High-Strength Aluminum Alloys A NASA/CAE Cooperative Program , 1994 .

[16]  Joseph Mathew,et al.  A review on prognostic techniques for non-stationary and non-linear rotating systems , 2015 .

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

[18]  J. Schijve,et al.  Fatigue crack growth in the aluminium alloy D16 under constant and variable amplitude loading , 2004 .

[19]  Zhenghao Chen,et al.  On Random Weights and Unsupervised Feature Learning , 2011, ICML.

[20]  Guang-Bin Huang,et al.  Extreme learning machine: a new learning scheme of feedforward neural networks , 2004, 2004 IEEE International Joint Conference on Neural Networks (IEEE Cat. No.04CH37541).

[21]  Enrico Zio,et al.  Fatigue crack growth estimation by relevance vector machine , 2012, Expert Syst. Appl..

[22]  Harald Zenner,et al.  Determination of S–N curves with the application of artificial neural networks , 1999 .

[23]  Cheng Wu,et al.  Semi-Supervised and Unsupervised Extreme Learning Machines , 2014, IEEE Transactions on Cybernetics.

[24]  Rjh Wanhill Durability Analysis Using Short and Long Fatigue Crack Growth Data , 1991 .

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

[26]  강재윤,et al.  신경회로망을 이용한 균열열림점 자동측정 ( Neural Network Applications in Determining the Fatigue Crack Opening Load ) , 1998 .

[27]  Hongming Zhou,et al.  Extreme Learning Machine for Regression and Multiclass Classification , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[28]  E. K. Priddle,et al.  HIGH CYCLE FATIGUE CRACK PROPAGATION UNDER RANDOM AND CONSTANT AMPLITUDE LOADINGS , 1976 .

[29]  Wei Zhang,et al.  An Artificial Neural Network-Based Algorithm for Evaluation of Fatigue Crack Propagation Considering Nonlinear Damage Accumulation , 2016, Materials.

[30]  Chee Kheong Siew,et al.  Extreme learning machine: Theory and applications , 2006, Neurocomputing.

[31]  Guang-Bin Huang,et al.  Trends in extreme learning machines: A review , 2015, Neural Networks.

[32]  D. N. Thatoi,et al.  Prediction of constant amplitude fatigue crack growth life of 2024 T3 Al alloy with R-ratio effect by GP , 2015, Appl. Soft Comput..

[33]  Paul C. Paris,et al.  Service load fatigue damage — a historical perspective , 1999 .

[34]  Tinh Quoc Bui,et al.  A new cohesive crack tip symplectic analytical singular element involving plastic zone length for fatigue crack growth prediction under variable amplitude cyclic loading , 2017 .

[35]  Bernard Widrow,et al.  The No-Prop algorithm: A new learning algorithm for multilayer neural networks , 2013, Neural Networks.

[36]  J. H. Bulloch,et al.  Effect of temperature on the threshold fatigue crack growth behaviour of spheroidal graphite cast iron , 1993 .

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

[38]  G. Glinka,et al.  A two parameter driving force for fatigue crack growth analysis , 2005 .

[39]  Pravat Kumar Ray,et al.  Application of Artificial Neural Network for Predicting Fatigue Crack Propagation Life of Aluminum Alloys , 2009 .

[40]  S. Dinda,et al.  Correlation and prediction of fatigue crack growth for different R-ratios using Kmax and ΔK+ parameters , 2004 .

[41]  Y. Cheng,et al.  Artificial neural network technology for the data processing of on-line corrosion fatigue crack growth monitoring , 1999 .

[42]  Tinh Quoc Bui,et al.  Improved knowledge-based neural network (KBNN) model for predicting spring-back angles in metal sheet bending , 2014, Int. J. Model. Simul. Sci. Comput..

[43]  J. A. Rodríguez,et al.  The use of artificial neural network (ANN) for modeling the useful life of the failure assessment in blades of steam turbines , 2013 .

[44]  Guido Bugmann,et al.  NEURAL NETWORK DESIGN FOR ENGINEERING APPLICATIONS , 2001 .