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Stochastic Design Optimization of Microstructures with Utilization of a Linear Solver
4 references·6 citing·36 second hop
Stochastic Design Optimization of Microstructures with Utilization of a Linear Solver (2017)Stochastic Design Optimization of Microst…Uncertainty quantification in computational stochastic multiscale analysis of nonlinear elastic materials (2012)Uncertainty quantification in…The effect of multiple sources of uncertainty on the convex hull of material properties of polycrystals (2009)The effect of multiple source…Kriging-based approximate stochastic homogenization analysis for composite materials (2008)Kriging-based approximate sto…Random Field Modeling of Elastic Properties Using Homogenization (2001)Random Field Modeling of Elas…Uncertainty Quantification of Microstructures: A Perspective on Forward and Inverse Problems for Mechanical Properties of Aerospace Materials (2024)Uncertainty Quantification of…Multi-fidelity microstructure-induced uncertainty quantification by advanced Monte Carlo methods (2023)Multi-fidelity microstructure…Microstructure-Sensitive Uncertainty Quantification for Crystal Plasticity Finite Element Constitutive Models Using Stochastic Collocation Methods (2022)Microstructure-Sensitive Unce…Do Epistemic Uncertainties Allow for Replacing Microstructural Experiments with Reconstruction Algorithms? (2019)Do Epistemic Uncertainties Al…Stochastic Design Optimization of Microstructural Features Using Linear Programming for Robust Design (2018)Stochastic Design Optimizatio…Reliability-Based Design Optimization of Microstructures With Analytical Formulation (2018)Reliability-Based Design Opti…Fitting variogram models by weighted least squares (1985)Design and Analysis of Computer Experiments (1989)Generalized perturbation-based stochastic finite element method in elastostatics (2006)On quantifying the effect of noise in surrogate based stochastic free vibration analysis of laminated composite shallow shells (2016)Probabilistic micromechanical spatial variability quantification in laminated composites (2018)A review on stochastic multiscale analysis for FRP composite structures (2022)Stochastic Finite Elements: A Spectral Approach (1991)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)Microstructure model reduction and uncertainty quantification in multiscale deformation processes (2010)A multiscale approach for model reduction of random microstructures (2012)Uncertainty Quantification of Microstructural Properties due to Experimental Variations (2017)Uncertainty propagation using Wiener–Haar expansions (2004)Spectral methods for uncertainty quantification : with applications to computational fluid dynamics (2010)Uncertainty quantification through the Monte Carlo method in a cloud computing setting (2014)An overview on uncertainty quantification and probabilistic learning on manifolds in multiscale mechanics of materials (2023)Stochastic Finite Element Analysis of Simple Beams (1983)The stochastic finite element method in structural reliability (1988)A state-of-the-art report on computational stochastic mechanics (1997)A Review of Recent Developments in the Numerical Solution of Stochastic Partial Differential Equations (Stochastic Finite Elements) (2003)Stochastic identification of composite material properties from limited experimental databases, part I: Experimental database construction (2011)Stochastic identification of composite material properties from limited experimental databases, Part II: Uncertainty modelling (2011)Reliability based optimization of laminated composite structures using genetic algorithms and Artificial Neural Networks (2011)Hybrid Framework for Reliability-Based Design Optimization of Imperfect Stiffened Shells (2015)Robust design of structures using optimization methods (2004)A conservative multi-fidelity surrogate model-based robust optimization method for simulation-based optimization (2021)Spatial Interaction and the Statistical Analysis of Lattice Systems (1974)Uncertainty quantification of microstructural properties due to variability in measured pole figures (2016)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Multilevel Monte Carlo Path Simulation (2008)Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients (2011)Optimal Model Management for Multifidelity Monte Carlo Estimation (2016)Design of polycrystalline metallic alloys under multi-scale uncertainty by connecting atomistic to meso‑scale properties (2024)Simulation and the Monte Carlo Method (2016)
this work references cited by second hop

References

  • 2012Uncertainty quantification in computational stochastic multiscale analysis of nonlinear elastic materials98 cited
  • 2008Kriging-based approximate stochastic homogenization analysis for composite materials90 cited
  • 2001Random Field Modeling of Elastic Properties Using Homogenization84 cited
  • 2009The effect of multiple sources of uncertainty on the convex hull of material properties of polycrystals36 cited

Cited by

  • 2022Microstructure-Sensitive Uncertainty Quantification for Crystal Plasticity Finite Element Constitutive Models Using Stochastic Collocation Methods22 cited
  • 2024Uncertainty Quantification of Microstructures: A Perspective on Forward and Inverse Problems for Mechanical Properties of Aerospace Materials20 cited
  • 2018Stochastic Design Optimization of Microstructural Features Using Linear Programming for Robust Design19 cited
  • 2018Reliability-Based Design Optimization of Microstructures With Analytical Formulation18 cited
  • 2023Multi-fidelity microstructure-induced uncertainty quantification by advanced Monte Carlo methods15 cited
  • 2019Do Epistemic Uncertainties Allow for Replacing Microstructural Experiments with Reconstruction Algorithms?15 cited

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