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Probabilistic micromechanical spatial variability quantification in laminated composites
16 references·16 citing·38 second hopsampled
Probabilistic micromechanical spatial variability quantification in laminated composites (2018)Probabilistic micromechanical spatial var…GUI–HDMR – A software tool for global sensitivity analysis of complex models (2008)GUI–HDMR – A software tool fo…Random Sampling-High Dimensional Model Representation (RS-HDMR) and Orthogonality of Its Different Order Component Functions (2006)Random Sampling-High Dimensio…Uncertainty quantification using evidence theory in multidisciplinary design optimization (2004)Uncertainty quantification us…Practical Approaches To Construct RS-HDMR Component Functions (2002)Practical Approaches To Const…Global uncertainty assessments by high dimensional model representations (HDMR) (2002)Global uncertainty assessment…Mathematical representation of uncertainty (2001)Mathematical representation o…Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)Convergence study of the trun…General foundations of high‐dimensional model representations (1999)General foundations of high‐d…Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Uncertainties in probabilisti…Orthogonal Series Expansions of Random Fields in Reliability Analysis (1994)Orthogonal Series Expansions …Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Weighted Integral Method. I: Stochastic Stiffness Matrix (1991)Weighted Integral Method. I: …Random field finite elements (1986)Random field finite elementsProbabilistic finite elements for nonlinear structural dynamics (1986)Probabilistic finite elements…Stochastic Finite Element Analysis of Simple Beams (1983)Stochastic Finite Element Ana…Random Fields: Analysis and Synthesis (1983)Random Fields: Analysis and S…Kriging-based uncertainty optimization of vibration characteristics for laminated elliptical shells considering material and load uncertainties (2025)Kriging-based uncertainty opt…A novel uncertainty quantification method for determining deformations and reliabilities of stochastic laminated composite plates with geometric nonlinearity (2024)A novel uncertainty quantific…Multi-fidelity machine learning based uncertainty quantification of progressive damage in composite laminates through optimal data fusion (2023)Multi-fidelity machine learni…A multiscale uncertainty propagation method for dynamic analysis of laminated FRP composite plates with hybrid random and interval uncertainties (2023)A multiscale uncertainty prop…A combined machine learning and numerical approach for evaluating the uncertainty of 3D angle-interlock woven composites (2022)A combined machine learning a…Stochastic Oblique Impact on Composite Laminates: A Concise Review and Characterization of the Essence of Hybrid Machine Learning Algorithms (2020)Stochastic Oblique Impact on …Reliability optimization design for composite laminated plate considering multiple types of uncertain parameters (2020)Reliability optimization desi…Probing the multi-physical probabilistic dynamics of a novel functional class of hybrid composite shells (2020)Probing the multi-physical pr…Multi-scale uncertainty quantification of composite laminated plate considering random and interval variables with data driven PCE method (2020)Multi-scale uncertainty quant…Multi-scale identification of the elastic properties variability for composite materials through a hybrid optimisation strategy (2019)Multi-scale identification of…Machine learning aided stochastic structural free vibration analysis for functionally graded bar-type structures (2019)Machine learning aided stocha…A hybrid stochastic sensitivity analysis for low-frequency vibration and low-velocity impact of functionally graded plates (2019)A hybrid stochastic sensitivi…Uncertainty analysis of composite laminated plate with data-driven polynomial chaos expansion method under insufficient input data of uncertain parameters (2018)Uncertainty analysis of compo…Stochastic low-velocity impact on functionally graded plates: Probabilistic and non-probabilistic uncertainty quantification (2018)Stochastic low-velocity impac…Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites (2018)Spatially varying fuzzy multi…Effect of delamination on the stochastic natural frequencies of composite laminates (2018)Effect of delamination on the…Stochastic Finite Elements: A Spectral 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(1975)Probabilistic Theory of Structural Dynamics (1976)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)Structural Reliability under Incomplete Probability Information (1986)The PHI2 method: a way to compute time-variant reliability (2003)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)Simulation of Stochastic Processes by Spectral Representation (1991)Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme (2002)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Fuzzy sets (1965)Probability, reliability and statistical methods in engineering design (1999)Epistemic uncertainty quantification techniques including evidence theory for large-scale structures (2004)Engineering computation under uncertainty – Capabilities of non-traditional models (2007)Stochastic finite element methods for partial differential equations with random input data (2014)Importance measures in global sensitivity analysis of nonlinear models (1996)Efficient input—output model representations (1999)Sensitivity Analysis for Chemical Models (2005)A new uncertainty importance measure (2006)The stochastic finite element method in structural reliability (1987)
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References

  • 1983Random Fields: Analysis and Synthesis1,302 cited
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  • 1986Random field finite elements645 cited
  • 2001Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes466 cited
  • 1983Stochastic Finite Element Analysis of Simple Beams439 cited
  • 1986Probabilistic finite elements for nonlinear structural dynamics396 cited
  • 1997Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements354 cited
  • 2004Uncertainty quantification using evidence theory in multidisciplinary design optimization324 cited
  • 2001Mathematical representation of uncertainty289 cited
  • 2002Practical Approaches To Construct RS-HDMR Component Functions275 cited
  • 1994Orthogonal Series Expansions of Random Fields in Reliability Analysis265 cited
  • 2008GUI–HDMR – A software tool for global sensitivity analysis of complex models210 cited
  • 2006Random Sampling-High Dimensional Model Representation (RS-HDMR) and Orthogonality of Its Different Order Component Functions180 cited
  • 2002Global uncertainty assessments by high dimensional model representations (HDMR)

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179 cited
  • 1991Weighted Integral Method. I: Stochastic Stiffness Matrix157 cited
  • Cited by

    • 2018Effect of delamination on the stochastic natural frequencies of composite laminates68 cited
    • 2019Machine learning aided stochastic structural free vibration analysis for functionally graded bar-type structures62 cited
    • 2018Stochastic low-velocity impact on functionally graded plates: Probabilistic and non-probabilistic uncertainty quantification61 cited
    • 2018Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites54 cited
    • 2019A hybrid stochastic sensitivity analysis for low-frequency vibration and low-velocity impact of functionally graded plates47 cited
    • 2020Stochastic Oblique Impact on Composite Laminates: A Concise Review and Characterization of the Essence of Hybrid Machine Learning Algorithms47 cited
    • 2023Multi-fidelity machine learning based uncertainty quantification of progressive damage in composite laminates through optimal data fusion43 cited
    • 2018Uncertainty analysis of composite laminated plate with data-driven polynomial chaos expansion method under insufficient input data of uncertain parameters38 cited
    • 2020Reliability optimization design for composite laminated plate considering multiple types of uncertain parameters35 cited
    • 2019Multi-scale identification of the elastic properties variability for composite materials through a hybrid optimisation strategy34 cited
    • 2020Multi-scale uncertainty quantification of composite laminated plate considering random and interval variables with data driven PCE method34 cited
    • 2022A combined machine learning and numerical approach for evaluating the uncertainty of 3D angle-interlock woven composites30 cited
    • 2020Probing the multi-physical probabilistic dynamics of a novel functional class of hybrid composite shells22 cited
    • 2025Kriging-based uncertainty optimization of vibration characteristics for laminated elliptical shells considering material and load uncertainties16 cited
    • 2023A multiscale uncertainty propagation method for dynamic analysis of laminated FRP composite plates with hybrid random and interval uncertainties14 cited
    • 2024A novel uncertainty quantification method for determining deformations and reliabilities of stochastic laminated composite plates with geometric nonlinearity11 cited