Hierarchical stochastic homogenization analysis of a particle reinforced composite material considering non-uniform distribution of microscopic random quantities

DOI10.1007/s00466-011-0604-7zbMath1384.74040OpenAlexW2076485794MaRDI QIDQ659934

Fumihiro Ashida, Sei-ichiro Sakata

Publication date: 24 January 2012

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

Full work available at URL: https://doi.org/10.1007/s00466-011-0604-7

zbMATH Keywords

perturbationhierarchical stochastic homogenizationnon-uniform microscopic random variationparticle reinforced composite materialstochastic homogenization method

Mathematics Subject Classification ID

Random materials and composite materials (74A40) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items

Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties, Implementation of the Multiscale Stochastic Finite Element Method on Elliptic PDE Problems, On stochastic FEM based computational homogenization of magneto-active heterogeneous materials with random microstructure, Derivation of a mesoscopic model for nonlinear particle-reinforced composites from a fully microscopic model

Cites Work

• Unnamed Item
• Sensitivity and randomness in homogenization of periodic fiber-reinforced composites via the response function method
• Three-dimensional stochastic analysis using a perturbation-based homogenization method for elastic properties of composite material considering microscopic uncertainty
• Stochastic homogenization analysis on elastic properties of fiber reinforced composites using the equivalent inclusion method and perturbation method
• Kriging-based approximate stochastic homogenization analysis for composite materials
• Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods