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On the Statistical Dependence for the Components of Random Elasticity Tensors Exhibiting Material Symmetry Properties
6 references·16 citing·32 second hop
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metamaterial bandgaps with stochastic material properties and geometric defects (2024)Uncertainty quantification of…Stochastic modelling of symmetric positive definite material tensors (2024)Stochastic modelling of symme…Sensitivity of a homogeneous and isotropic second‐gradient continuum model for particle‐based materials with respect to uncertainties (2023)Sensitivity of a homogeneous …An overview on uncertainty quantification and probabilistic learning on manifolds in multiscale mechanics of materials (2023)An overview on uncertainty qu…Probabilistic learning inference of boundary value problem with uncertainties based on Kullback–Leibler divergence under implicit constraints (2022)Probabilistic learning infere…Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains (2019)Stochastic multiscale modelin…Maximum entropy-based uncertainty modeling at the elemental level in linear structural and thermal problems (2019)Maximum entropy-based 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this work references cited by second hop

References

  • 1993Entropy optimization principles with applications493 cited
  • 2000A nonparametric model of random uncertainties for reduced matrix models in structural dynamics475 cited
  • 2007Microstructural Randomness and Scaling in Mechanics of Materials380 cited
  • 2001Maximum entropy approach for modeling random uncertainties in transient elastodynamics324 cited
  • 2005Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators183 cited
  • 2008Construction of probability distributions in high dimension using the maximum entropy principle: Applications to stochastic processes, random fields and random matrices117 cited

Cited by

  • 2023An overview on uncertainty quantification and probabilistic learning on manifolds in multiscale mechanics of materials38 cited
  • 2014AN OVERVIEW OF NONINTRUSIVE CHARACTERIZATION, PROPAGATION, AND SENSITIVITY ANALYSIS OF UNCERTAINTIES IN COMPUTATIONAL MECHANICS31 cited
  • 2023Sensitivity of a homogeneous and isotropic second‐gradient continuum model for particle‐based materials with respect to uncertainties30 cited
  • 2012Stochastic modeling and identification of an uncertain computational dynamical model with random fields properties and model uncertainties24 cited
  • 2019Development of a Vibroacoustic Stochastic Finite Element Prediction Tool for a CLT Floor24 cited
  • 2013Hybrid Sampling/Spectral Method for Solving Stochastic Coupled Problems21 cited
  • 2014

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Itô SDE--based Generator for a Class of Non-Gaussian Vector-valued Random Fields in Uncertainty Quantification
21 cited
  • 2019Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains20 cited
  • 2024Uncertainty quantification of acoustic metamaterial bandgaps with stochastic material properties and geometric defects17 cited
  • 2017Random Matrix Models and Nonparametric Method for Uncertainty Quantification16 cited
  • 2024Stochastic modelling of symmetric positive definite material tensors12 cited
  • 2015Random Matrix Models and Nonparametric Method for Uncertainty Quantification11 cited
  • 2015Approximate Solutions of Lagrange Multipliers for Information-Theoretic Random Field Models10 cited
  • 2019Maximum entropy-based uncertainty modeling at the elemental level in linear structural and thermal problems10 cited
  • 2022Probabilistic learning inference of boundary value problem with uncertainties based on Kullback–Leibler divergence under implicit constraints10 cited
  • 2019Adaptive method for indirect identification of the statistical properties of random fields in a Bayesian framework9 cited