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Multiscale stochastic finite element modeling of random elastic heterogeneous materials
8 references·0 citing·32 second hop
Multiscale stochastic finite element modeling of random elastic heterogeneous materials (2010)Multiscale stochastic finite element mode…Generalized Variational Principles for Uncertainty Quantification of Boundary Value Problems of Random Heterogeneous Materials (2009)Generalized Variational Princ…A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials (2009)A Green-function-based multis…The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science (2007)The need for linking micromec…A multiscale stochastic finite element method on elliptic problems involving uncertainties (2007)A multiscale stochastic finit…On generalized stochastic perturbation‐based finite element method (2005)On generalized stochastic per…The stochastic finite element method in structural reliability (1988)The stochastic finite element…The stochastic finite element method in structural reliability (1987)The stochastic finite element…Stochastic Finite Element Analysis of Simple Beams (1983)Stochastic Finite Element Ana…Stochastic Finite Elements: A Spectral Approach (1991)A successive perturbation-based multiscale stochastic analysis method for composite materials (2015)Stochastic analysis of laminated composite plate considering stochastic homogenization problem (2015)Uncertainty propagation in reduced order models based on crystal plasticity (2020)ON STATIONARY PROCESSES IN THE PLANE (1954)Fractional Brownian Motions, Fractional Noises and Applications (1968)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Maximum entropy approach for modeling random uncertainties in transient elastodynamics (2001)Random Fields: Analysis and Synthesis (1983)Reliability of Structures (2012)Towards efficient uncertainty quantification in complex and large-scale biomechanical problems based on a Bayesian multi-fidelity scheme (2014)Probabilistic micromechanical spatial variability quantification in laminated composites (2018)A review on stochastic multiscale analysis for FRP composite structures (2022)Probability Concepts in Engineering Planning and Design (1975)Methods of structural safety (2006)Bayesian Updating with Structural Reliability Methods (2014)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Random field finite elements (1986)Perturbation Based Stochastic Finite Element Analysis of the Structural Systems with Composite Sections under Earthquake Forces (2008)Analysis of Uncertainty and Variability in Finite Element Computational Models for Biomedical Engineering: Characterization and Propagation (2016)Uncertainty quantification of 3D acoustic shape sensitivities with generalized nth-order perturbation boundary element methods (2024)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)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)Stochastic finite elements: Computational approaches to stochastic partial differential equations (2008)Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data (2010)Sampling-free linear Bayesian update of polynomial chaos representations (2012)Non-Normal Dependent Vectors in Structural Safety (1981)Structural Reliability under Incomplete Probability Information (1986)Second‐Order Reliability Approximations (1987)Quasi-weak and weak formulation of stochastic finite elements on static and dynamic problems—a unifying framework (2011)Stochastic computation based on orthogonal expansion of random fields (2011)
this work references cited by second hop

References

  • 1988The stochastic finite element method in structural reliability519 cited
  • 1983Stochastic Finite Element Analysis of Simple Beams439 cited
  • 1987The stochastic finite element method in structural reliability393 cited
  • 2007The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science106 cited
  • 2007A multiscale stochastic finite element method on elliptic problems involving uncertainties99 cited
  • 2005On generalized stochastic perturbation‐based finite element method45 cited
  • 2009A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials38 cited
  • 2009Generalized Variational Principles for Uncertainty Quantification of Boundary Value Problems of Random Heterogeneous Materials26 cited

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