Reliability estimation of fatigue crack growth prediction via limited measured data

[1]  Uwe Zerbst,et al.  Fracture mechanics in railway applications––an overview , 2005 .

[2]  B. F. Spencer,et al.  Stochastic approach to modeling fatigue crack growth , 1989 .

[3]  R. Rackwitz,et al.  Approximations of first-passage times for differentiable processes based on higher-order threshold crossings , 1995 .

[4]  Benoît Iung,et al.  Overview on Bayesian networks applications for dependability, risk analysis and maintenance areas , 2012, Eng. Appl. Artif. Intell..

[5]  Arne Fjeldstad,et al.  Simulation of fatigue crack growth in components with random defects , 2008 .

[6]  Sankaran Mahadevan,et al.  Uncertainty quantification and model validation of fatigue crack growth prediction , 2011 .

[7]  Asok Ray,et al.  A nonlinear stochastic model of fatigue crack dynamics , 1997 .

[8]  Xiaojun Wang,et al.  Probability and convexity concepts are not antagonistic , 2011 .

[9]  C. Jiang,et al.  Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique , 2011 .

[10]  F. Ellyin Fatigue Damage, Crack Growth and Life Prediction , 1996 .

[11]  Jiang Fan,et al.  Probabilistic damage tolerance analysis on turbine disk through experimental data , 2012 .

[12]  Xiaojun Wang,et al.  A feasible implementation procedure for interval analysis method from measurement data , 2014 .

[13]  Guo Shuxiang,et al.  HYBRID PROBABILISTIC AND NON-PROBABILISTIC MODEL OF STRUCTURAL RELIABILITY , 2002 .

[14]  Norman E. Fenton,et al.  Modeling dependable systems using hybrid Bayesian networks , 2006, First International Conference on Availability, Reliability and Security (ARES'06).

[15]  Wen-Fang Wu,et al.  Statistical aspects of some fatigue crack growth data , 2007 .

[16]  J.-M. Bourinet,et al.  The cross-entropy method for reliability assessment of cracked structures subjected to random Markovian loads , 2014, Reliab. Eng. Syst. Saf..

[17]  Philippe Weber,et al.  Bayesian networks inference algorithm to implement Dempster Shafer theory in reliability analysis , 2008, Reliab. Eng. Syst. Saf..

[18]  Zhen Hu,et al.  A Sampling Approach to Extreme Value Distribution for Time-Dependent Reliability Analysis , 2013 .

[19]  I. Elishakoff,et al.  Convex models of uncertainty in applied mechanics , 1990 .

[20]  Sankaran Mahadevan,et al.  Damage tolerance approach for probabilistic pitting corrosion fatigue life prediction , 2001 .

[21]  Kenneth Reifsnider,et al.  Damage Tolerance and Durability of Material Systems , 2002 .

[22]  Xiaoping Du,et al.  Fatigue reliability analysis for structures with known loading trend , 2014 .

[23]  Boris A. Zárate,et al.  Bayesian model updating and prognosis of fatigue crack growth , 2012 .

[24]  Robert E. Melchers,et al.  Overload failure of structural components under random crack propagation and loading - a random process approach , 2004 .

[25]  Alaa Chateauneuf,et al.  Random fatigue crack growth in mixed mode by stochastic collocation method , 2010 .

[26]  Krishnaswamy Hariharan,et al.  A study of multi-segment fatigue crack growth data analysis procedure for probabilistic crack growth prediction , 2011 .

[27]  Charles R. Farrar,et al.  A reliability-based framework for fatigue damage prognosis of composite aircraft structures , 2012 .

[28]  J. Schijve Fatigue Crack Growth under Variable Amplitude Loading , 1974 .

[29]  P. H. Madsen,et al.  An Integral Equation Method for the First-Passage Problem in Random Vibration , 1984 .

[30]  Jean-Marc Bourinet,et al.  Damage Tolerance and Reliability Assessment under Random Markovian Loads , 2013 .

[31]  Xiaojun Wang,et al.  Time-variant reliability model and its measure index of structures based on a non-probabilistic interval process , 2015 .

[32]  Z. Kang,et al.  On non-probabilistic reliability-based design optimization of structures with uncertain-but-bounded parameters , 2011 .

[33]  Harry R. Millwater,et al.  2D weight function development using a complex Taylor series expansion method , 2012 .

[34]  Niels C. Lind A measure of vulnerability and damage tolerance , 1995 .

[35]  L. Casetta The inverse problem of Lagrangian mechanics for a non-material volume , 2015 .

[36]  Isaac E. Elishakoff Safety Factors and Reliability - Friends or Foes? , 2004 .

[37]  P. Goel,et al.  The Statistical Nature of Fatigue Crack Propagation , 1979 .

[38]  A. Sudjianto,et al.  Reliability-Based Design With the Mixture of Random and Interval Variables , 2005, DAC 2003.

[39]  Jaime Domínguez,et al.  Numerical and experimental analysis of fatigue crack growth under random loading , 2005 .

[40]  C. Jiang,et al.  Structural reliability analysis using non-probabilistic convex model , 2013 .

[41]  Shahram Sarkani,et al.  Reliability Analysis of Systems Subject to First-Passage Failure , 2009 .

[42]  Jianbing Chen,et al.  The equivalent extreme-value event and evaluation of the structural system reliability , 2007 .

[43]  Andrea Carpinteri,et al.  Handbook of fatigue crack propagation in metallic structures , 1994 .

[44]  Lei Wang,et al.  Uncertainty quantification and propagation analysis of structures based on measurement data , 2011, Math. Comput. Model..

[45]  Armin W. Troesch,et al.  Stochastic nonlinear fatigue crack growth predictions for simple specimens subject to representative ship structural loading sequences , 2015 .

[46]  Z. Qiu,et al.  Predicting fatigue crack growth evolution via perturbation series expansion method based on the generalized multinomial theorem , 2016 .

[47]  Isaac Elishakoff,et al.  Non-probabilistic set-theoretic model for structural safety measure , 2008 .

[48]  Seong-Pyo Cheon,et al.  Bayesian networks based rare event prediction with sensor data , 2009, Knowl. Based Syst..

[49]  Yakov Ben-Haim,et al.  Robust reliability of structures , 1997 .