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Microstructure-Sensitive Uncertainty Quantification for Crystal Plasticity Finite Element Constitutive Models Using Stochastic Collocation Methods
16 references·2 citing·28 second hop
Microstructure-Sensitive Uncertainty Quantification for Crystal Plasticity Finite Element Constitutive Models Using Stochastic Collocation Methods (2022)Microstructure-Sensitive Uncertainty Quan…Uncertainty-quantified parametrically homogenized constitutive models (UQ-PHCMs) for dual-phase α/β titanium alloys (2020)Uncertainty-quantified parame…Uncertainty Quantification and Propagation in Computational Materials Science and Simulation-Assisted Materials Design (2020)Uncertainty Quantification an…Solving Stochastic Inverse Problems for Property–Structure Linkages Using Data-Consistent Inversion and Machine Learning (2020)Solving Stochastic Inverse Pr…Stochastic Design Optimization of Microstructures with Utilization of a Linear Solver (2017)Stochastic Design Optimizatio…Sensitivity analysis techniques applied to a system of hyperbolic conservation laws (2011)Sensitivity analysis techniqu…Variance based sensitivity analysis of model output. 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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2009Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index3,567 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 2008Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics769 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 2009Fast Numerical Methods for Stochastic Computations: A Review608 cited
  • 2009Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design371 cited
  • 2009Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification348 cited
  • 2008An inductive design exploration method for hierarchical systems design under uncertainty72 cited
  • 2020Uncertainty Quantification and Propagation in Computational Materials Science and Simulation-Assisted Materials Design71 cited
  • 2011Sensitivity analysis techniques applied to a system of hyperbolic conservation laws48 cited

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2020
Solving Stochastic Inverse Problems for Property–Structure Linkages Using Data-Consistent Inversion and Machine Learning
43 cited
  • 2020Uncertainty-quantified parametrically homogenized constitutive models (UQ-PHCMs) for dual-phase α/β titanium alloys42 cited
  • 2017Stochastic Design Optimization of Microstructures with Utilization of a Linear Solver31 cited
  • Cited by

    • 2024Uncertainty Quantification of Microstructures: A Perspective on Forward and Inverse Problems for Mechanical Properties of Aerospace Materials20 cited
    • 2023Multi-fidelity microstructure-induced uncertainty quantification by advanced Monte Carlo methods15 cited