A multi-scale failure-probability-based fatigue or creep rupture life model for estimating component co-reliability

Abstract The American Society of Mechanical Engineers (ASME) Boiler and Pressure Vessel Code (BPVC) Committee has recently developed a new Section XI (Nuclear Components Inspection) Division 2 Code named “Reliability and Integrity Management (RIM)." RIM incorporates a new concept known as “System-Based Code (SBC)" originally due to Asada and his colleagues (2001–2004), where an integrated approach from design to service inspection is introduced using an overall statistical quantity known as “reliability index,” or, “co-reliability target.” In this paper, we develop a new theory of fatigue and creep rupture life modeling for metal alloys at room and elevated temperatures such that the co-reliability target can be estimated from fatigue and creep rupture test data. To illustrate an application of this new modeling approach, we include two numerical examples using (a) the fatigue failure data of six AISI 4340 steel specimens at room temperature (Dowling, N. E., 1973) and (b) the creep rupture time data of 37 specimens of 1.3Mn-0.5Mo-0.5Ni steel plates at 500 C (NRIM, 1987). Significance and limitations of this new fatigue and creep rupture life modeling approach are presented and discussed.

[1]  Lawrence Barker System Reliability: Concepts and Applications , 2008 .

[2]  Enrico Zio,et al.  Computational Methods for Reliability and Risk Analysis , 2009 .

[3]  Richard E. Barlow,et al.  Engineering reliability , 1987 .

[4]  Jt Fong,et al.  Statistical Aspects of Fatigue at Microscopic, Specimen, and Component Levels , 1979 .

[5]  F. Xuan,et al.  Failure mechanisms and fatigue strength assessment of a low strength Cr−Ni−Mo−V steel welded joint: Coupled frequency and size effects , 2016 .

[6]  James J. Filliben,et al.  Uncertainty Quantification of Failure Probability and a Dynamic Risk Analysis of Decision-Making for Maintenance of Aging Infrastructure , 2018, Risk Based Technologies.

[7]  B. S. Dhillon Safety, Reliability, Human Factors, and Human Error in Nuclear Power Plants , 2017 .

[8]  Richard E. Barlow,et al.  Stochastic Ageing and Dependence for Reliability , 2006 .

[9]  D. N. Prabhakar Murthy,et al.  Case studies in reliability and maintenance , 2002 .

[10]  Richard B. Jones Risk-based management : a reliability-centered approach , 1995 .

[11]  Peter R. Nelson,et al.  Introductory Statistics for Engineering Experimentation , 2003 .

[12]  Terje Andersen,et al.  Pipeline Reliability: An Investigation of Pipeline Failure Characteristics and Analysis of Pipeline Failure Rates for Submarine and Cross-Country Pipelines , 1983 .

[13]  T. Bedford,et al.  Probabilistic Risk Analysis: Foundations and Methods , 2001 .

[14]  Robert E. Melchers,et al.  Probabilistic Risk Assessment of Engineering Systems , 1997 .

[15]  Frank Proschan,et al.  Confidence and Tolerance Intervals for the Normal Distribution , 1953 .

[16]  James J. Filliben,et al.  Uncertainty Quantification of Stresses in a Cracked Pipe Elbow Weldment Using a Logistic Function Fit, a Nonlinear Least Square Algorithm, and a Super-parametric Method1☆ , 2015 .

[17]  Marvin Zelen,et al.  Mathematical Theory of Reliability , 1965 .

[18]  Nisitani Hironobu,et al.  Significance of initiation, propagation and closure of microcracks in high cycle fatigue of ductile metals , 1981 .

[19]  A. Becker,et al.  Damage mechanics based predictions of creep crack growth in 316 stainless steel , 2010 .

[20]  Ernst G. Frankel Systems Reliability and Risk Analysis , 1983 .

[21]  Masanori Tashimo,et al.  System Based Code: Basic Structure , 2002 .

[22]  Kenichi Kurisaka,et al.  Development of System Based Code (1) Reliability Target Derivation of Structures and Components , 2011 .

[23]  H. H. Ku,et al.  Notes on the use of propagation of error formulas , 1966 .

[24]  James J. Filliben,et al.  Uncertainty in multi-scale fatigue life modeling and a new approach to estimating frequency of in-service inspection of aging components. , 2018, Strength, fracture and complexity.

[25]  W. E. Vesely,et al.  NEW METHODOLOGY FOR OBTAINING CUT SETS FOR FAULT TREES. , 1972 .

[26]  N. Dowling,et al.  Mechanical Behavior of Materials , 2012 .

[27]  Asit P. Basu,et al.  Statistical Methods for the Reliability of Repairable Systems , 2000 .

[28]  Masanori Tashimo,et al.  System Based Code: Principal Concept , 2002 .

[29]  Ne Dowling,et al.  Fatigue Life and Inelastic Strain Response under Complex Histories for an Alloy Steel , 1973 .