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A successive perturbation-based multiscale stochastic analysis method for composite materials
7 references·7 citing·40 second hop
A successive perturbation-based multiscale stochastic analysis method for composite materials (2015)A successive perturbation-based multiscal…Stochastic Finite Element Method (2021)Stochastic Finite Element Met…The Stochastic Perturbation Method for Computational Mechanics (2013)The Stochastic Perturbation M…A multi‐scale spectral stochastic method for homogenization of multi‐phase periodic composites with random material properties (2010)A multi‐scale spectral stocha…A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials (2009)A Green-function-based multis…Kriging-based approximate stochastic homogenization analysis for composite materials (2008)Kriging-based approximate sto…Generalized perturbation-based stochastic finite element method in elastostatics (2006)Generalized perturbation-base…The stochastic finite-element method (1980)The stochastic finite-element…Probabilistic entropy and relative entropy for the effective characteristics of the fiber-reinforced composites with stochastic interface defects (2024)Probabilistic entropy and rel…A dual experimental/computational data-driven approach for random field modeling based strength estimation analysis of composite structures (2024)A dual experimental/computati…Uncertainty propagation, entropy, and relative entropy in the homogenization of some particulate composites (2023)Uncertainty propagation, entr…HYPAD-UQ: A Derivative-Based Uncertainty Quantification Method Using a Hypercomplex Finite Element Method (2023)HYPAD-UQ: A Derivative-Based …Multi-scale reliability analysis of FRP truss bridges with hybrid random and interval uncertainties (2022)Multi-scale reliability analy…A Local Sensitivity-Based Multiscale Stochastic Stress Analysis of a Unidirectional Fiber-Reinforced Composite Material Considering Random Location Variation of Multifibers (2019)A Local Sensitivity-Based Mul…A PCE-based multiscale framework for the characterization of uncertainties in complex systems (2017)A PCE-based multiscale framew…Stochastic Finite Elements: A Spectral Approach (1991)A multiscale stochastic finite element method on elliptic problems involving uncertainties (2007)The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science (2007)Stochastic analysis of laminated composite plate considering stochastic homogenization problem (2015)A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities (2018)Uncertainty propagation in reduced order models based on crystal plasticity (2020)Exact and Invariant Second-Moment Code Format (1974)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)Fitting variogram models by weighted least squares (1985)Design and Analysis of Computer Experiments (1989)On quantifying the effect of noise 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for Uncertainty Quantification (2010)A Vine Copula-Based Hierarchical Framework for Multiscale Uncertainty Analysis (2019)Multiscale Uncertainty Quantification with Arbitrary Polynomial Chaos (2019)Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains (2019)A non-probabilistic concept of reliability (1994)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)Uncertainty in the manufacturing of fibrous thermosetting composites: A review (2013)A dimension-wise analysis driven active learning paired-Kriging (DWA-ALK) method for the hybrid reliability analysis (2022)A multiscale uncertainty propagation method for dynamic analysis of laminated FRP composite plates with hybrid random and interval uncertainties (2023)Soft Monte Carlo Simulation for imprecise probability estimation: A dimension reduction-based approach (2023)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)The stochastic finite element method: Past, present and future (2008)Dynamic stiffness of randomly parametered beams (1998)A fuzzy-based approach to comprehensive modeling and analysis of systems with epistemic uncertainties (2010)Stochastic free vibration of orthotropic plates using generalized polynomial chaos expansion (2011)A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications (2015)Time-variant reliability assessment for multiple failure modes and temporal parameters (2018)An efficient Kriging based method for time-dependent reliability based robust design optimization via evolutionary algorithm (2020)
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References

  • 1980The stochastic finite-element method641 cited
  • 2013The Stochastic Perturbation Method for Computational Mechanics266 cited
  • 2006Generalized perturbation-based stochastic finite element method in elastostatics164 cited
  • 2010A multi‐scale spectral stochastic method for homogenization of multi‐phase periodic composites with random material properties99 cited
  • 2021Stochastic Finite Element Method96 cited
  • 2008Kriging-based approximate stochastic homogenization analysis for composite materials90 cited
  • 2009A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials38 cited

Cited by

  • 2017A PCE-based multiscale framework for the characterization of uncertainties in complex systems27 cited
  • 2022Multi-scale reliability analysis of FRP truss bridges with hybrid random and interval uncertainties21 cited
  • 2023Uncertainty propagation, entropy, and relative entropy in the homogenization of some particulate composites13 cited
  • 2024Probabilistic entropy and relative entropy for the effective characteristics of the fiber-reinforced composites with stochastic interface defects10 cited
  • 2023HYPAD-UQ: A Derivative-Based Uncertainty Quantification Method Using a Hypercomplex Finite Element Method9 cited
  • 2024A dual experimental/computational data-driven approach for random field modeling based strength estimation analysis of composite structures

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9 cited
  • 2019A Local Sensitivity-Based Multiscale Stochastic Stress Analysis of a Unidirectional Fiber-Reinforced Composite Material Considering Random Location Variation of Multifibers9 cited