Kriging-based approximate stochastic homogenization analysis for composite materials

DOI10.1016/j.cma.2007.12.011zbMath1194.74284OpenAlexW2066570266MaRDI QIDQ995291

M. Zako, Fumihiro Ashida, Sei-ichiro Sakata

Publication date: 13 September 2010

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2007.12.011

zbMATH Keywords

approximationcomposite materialhomogenization methodstochastic characteristicsmicroscopic uncertainty

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (12)

Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties ⋮ Stochastic homogenization analysis on elastic properties of fiber reinforced composites using the equivalent inclusion method and perturbation method ⋮ A critical assessment of Kriging model variants for high-fidelity uncertainty quantification in dynamics of composite shells ⋮ Uncertainty propagation, entropy, and relative entropy in the homogenization of some particulate composites ⋮ On stochastic FEM based computational homogenization of magneto-active heterogeneous materials with random microstructure ⋮ Stabilization of parameter estimation for Kriging-based approximation with empirical semivariogram ⋮ Hierarchical stochastic homogenization analysis of a particle reinforced composite material considering non-uniform distribution of microscopic random quantities ⋮ Multiscale modeling of failure in composites under model parameter uncertainty ⋮ Subsampling and homogenization to investigate variability of composite material mechanical properties ⋮ Automated homogenization-based fracture analysis: effects of SVE size and boundary condition ⋮ Effect of microstructural variations on the failure response of a nano-enhanced polymer: a homogenization-based statistical analysis ⋮ Integral estimation with the ordinary Kriging method using the Gaussian semivariogram function

Cites Work

• Three-dimensional stochastic analysis using a perturbation-based homogenization method for elastic properties of composite material considering microscopic uncertainty
• On applying Kriging-based approximate optimization to inaccurate data
• Stochastic structural interface defects in fiber composites
• Structural optimization using kriging approximation
• Design and analysis of computer experiments. With comments and a rejoinder by the authors
• A stochastic computational method for evaluation of global and local behavior of random elastic media
• An Approximation to the Probability Integral
• Unnamed Item
• Unnamed Item

This page was built for publication: Kriging-based approximate stochastic homogenization analysis for composite materials