Random homogenization analysis for heterogeneous materials with full randomness and correlation in microstructure based on finite element method and Monte-Carlo method

DOI10.1007/s00466-014-1065-6zbMath1309.74063OpenAlexW2129408955WikidataQ64017306 ScholiaQ64017306MaRDI QIDQ487869

Juan Ma, Peter Wriggers, Shahab Sahraee, Liangjie Li, Jie Zhang

Publication date: 23 January 2015

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-014-1065-6

zbMATH Keywords

linear elasticityfinite element methodMonte-Carlo methodrandom homogenizationrandomness and correlation

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Random materials and composite materials (74A40) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (11)

Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties ⋮ Magneto-thermoelastic interaction in a functionally graded medium under gravitational field ⋮ On periodic boundary conditions and ergodicity in computational homogenization of heterogeneous materials with random microstructure ⋮ Determination of RVE size for random composites with local volume fraction variation ⋮ On stochastic FEM based computational homogenization of magneto-active heterogeneous materials with random microstructure ⋮ A Multiscale Computational Formulation for Gradient Elasticity Problems of Heterogeneous Structures ⋮ Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method ⋮ A new reliability-based data-driven approach for noisy experimental data with physical constraints ⋮ Two reduction methods for stochastic FEM based homogenization using global basis functions ⋮ Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations ⋮ Stochastic multiscale homogenization analysis of heterogeneous materials under finite deformations with full uncertainty in the microstructure

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