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Reliability study of fracture mechanics based non‐probabilistic interval analysis model
16 references·0 citing·36 second hop
Reliability study of fracture mechanics based non‐probabilistic interval analysis model (2010)Reliability study of fracture mechanics b…Uncertainty Analysis Based on Probability Bounds (P‐Box) Approach in Probabilistic Safety Assessment (2009)Uncertainty Analysis Based on…Structural reliability assessment based on probability and convex set mixed model (2009)Structural reliability assess…Probabilistic interval reliability of structural systems (2008)Probabilistic interval reliab…Challenge problems: uncertainty in system response given uncertain parameters (2004)Challenge problems: uncertain…Efficient estimation of structural reliability for problems with uncertain intervals (2002)Efficient estimation of struc…Uncertainty in Mechanics Problems—Interval–Based Approach (2001)Uncertainty in Mechanics Prob…Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Analysis of Uncertain Structu…Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling (1995)Essay on uncertainties in ela…Discussion on: A non-probabilistic concept of reliability (1995)Discussion on: A non-probabil…A non-probabilistic measure of reliability of linear systems based on expansion of convex models (1995)A non-probabilistic measure o…Nonprobabilistic, convex-theoretic modeling of scatter in material properties (1994)Nonprobabilistic, convex-theo…A non-probabilistic concept of reliability (1994)A non-probabilistic concept o…Convex Models of Uncertainty in Radial Pulse Buckling of Shells (1993)Convex Models of Uncertainty …Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters (1993)Combination of probabilistic …The stochastic finite-element method (1980)The stochastic finite-element…Unreliable probabilities, risk taking, and decision making (1982)Unreliable probabilities, risk taking, and decision making (1988)Convex Models of Uncertainty in Applied Mechanics (1990)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)Structural reliability analysis using non-probabilistic convex model (2012)Safety and the Probability of Structural Failure (1956)Statistical Methods in Structural Mechanics. (1970)Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)Quality Engineering in Production Systems (1990)Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)A mathematical theory of evidence (1977)Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability (1994)Uncertainties in risk analysis: Six levels of treatment (1996)An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Imprecise probabilities in engineering analyses (2013)Exact and Invariant Second-Moment Code Format (1974)Random field finite elements (1986)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)Structural reliability under combined random load sequences (1978)Structural Reliability Methods (1996)A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty (2013)Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis (2015)A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables (2018)Fuzzy sets (1965)Fuzzy sets (1996)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Interval Monte Carlo methods for structural reliability (2010)Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)On non-probabilistic reliability-based design optimization of structures with uncertain-but-bounded parameters (2011)An importance learning method for non-probabilistic reliability analysis and optimization (2018)
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References

  • 1980The stochastic finite-element method641 cited
  • 2004Challenge problems: uncertainty in system response given uncertain parameters570 cited
  • 1997Analysis of Uncertain Structural Systems Using Interval Analysis423 cited
  • 1998Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis420 cited
  • 1994A non-probabilistic concept of reliability402 cited
  • 2001Uncertainty in Mechanics Problems—Interval–Based Approach289 cited
  • 1995Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling275 cited
  • 1995Discussion on: A non-probabilistic concept of reliability217 cited
  • 2009Structural reliability assessment based on probability and convex set mixed model170 cited
  • 1995A non-probabilistic measure of reliability of linear systems based on expansion of convex models163 cited
  • 2008Probabilistic interval reliability of structural systems149 cited
  • 1994Nonprobabilistic, convex-theoretic modeling of scatter in material properties131 cited
  • 1993Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters126 cited
  • 1993Convex Models of Uncertainty in Radial Pulse Buckling of Shells122 cited

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  • 2009Uncertainty Analysis Based on Probability Bounds (P‐Box) Approach in Probabilistic Safety Assessment121 cited
  • 2002Efficient estimation of structural reliability for problems with uncertain intervals108 cited
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