Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Property values associated with the failure of individual links in a system with multiple weak and strong links

Journal Article · · Reliability Engineering and System Safety
 [1];  [2];  [3]
  1. Arizona State Univ., Tempe, AZ (United States). Dept. of Mathematics and Statistics
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Structural and Thermal Analysis Dept.
  3. Engineering Mechanics Corporation of Columbus, OH (United States)

Representations are developed and illustrated for the distribution of link property values at the time of link failure in the presence of aleatory uncertainty in link properties. The following topics are covered: (i) defining properties for weak links and strong links, (ii) cumulative distribution functions (CDFs) for link failure time, (iii) integral-based derivation of CDFs for link property at time of link failure, (iv) sampling-based approximation of CDFs for link property at time of link failure, (v) verification of integral-based and sampling-based determinations of CDFs for link property at time of link failure, (vi) distributions of link properties conditional on time of link failure, and (vii) equivalence of two different integral-based derivations of CDFs for link property at time of link failure.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1778046
Alternate ID(s):
OSTI ID: 1778435
Report Number(s):
SAND--2021-3858J; 695167
Journal Information:
Reliability Engineering and System Safety, Journal Name: Reliability Engineering and System Safety Vol. 195; ISSN 0951-8320
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (35)

Verification and validation in computational fluid dynamics journal April 2002
Guest editorial: treatment of aleatory and epistemic uncertainty in performance assessments for complex systems journal November 1996
Uncertainties in risk analysis: Six levels of treatment journal November 1996
The characterization of uncertainty in Probabilistic Risk Assessments of complex systems journal November 1996
Matlab program for quadrature in 2D journal August 2008
Verification and validation in computational engineering and science: basic concepts journal September 2004
New developments in uncertainty assessment and uncertainty management journal February 2013
Probability of loss of assured safety in temperature dependent systems with multiple weak and strong links journal March 2006
Calibration, validation, and sensitivity analysis: What's what journal October 2006
Verification of the calculation of probability of loss of assured safety in temperature-dependent systems with multiple weak and strong links journal October 2007
Verification test problems for the calculation of probability of loss of assured safety in temperature-dependent systems with multiple weak and strong links journal October 2007
Effect of delayed link failure on probability of loss of assured safety in temperature-dependent systems with multiple weak and strong links journal February 2009
A QMU approach for characterizing the operability limits of air-breathing hypersonic vehicles journal September 2011
Quantification of margins and uncertainties of complex systems in the presence of aleatoric and epistemic uncertainty journal September 2011
A case study for quantifying system reliability and uncertainty journal September 2011
Quantifying reliability uncertainty from catastrophic and margin defects: A proof of concept journal September 2011
Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation journal September 2011
Quantification of margins and uncertainties: A probabilistic framework journal September 2011
Quantification of margins and uncertainties: Example analyses from reactor safety and radioactive waste disposal involving the separation of aleatory and epistemic uncertainty journal September 2011
Quantification of margins and uncertainties: Alternative representations of epistemic uncertainty journal September 2011
Probabilistic bounding analysis in the Quantification of Margins and Uncertainties journal September 2011
The dangers of sparse sampling for the quantification of margin and uncertainty journal September 2011
Quantification of Margins and Uncertainties journal September 2011
Ideas underlying the Quantification of Margins and Uncertainties journal September 2011
Quantification of margins and uncertainties: Conceptual and computational basis journal September 2011
Quantification of margins and uncertainties using multiple gates and conditional probabilities journal June 2013
Probability of loss of assured safety in systems with multiple time-dependent failure modes: Representations with aleatory and epistemic uncertainty journal April 2014
Aleatory or epistemic? Does it matter? journal March 2009
Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty journal April 1997
Building PDE codes to be verifiable and validatable journal September 2004
Treatment of Uncertainty in Performance Assessments for Complex Systems journal August 1994
Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability journal October 1994
Verification, validation, and predictive capability in computational engineering and physics journal September 2004
The concept of probability in safety assessments of technological systems journal December 1990
Engineering Index: An Engineering Certification/Qualification Metric journal March 2006