Applied RVE Reconstruction and Homogenization of Heterogeneous Materials

Yves Rémond, Said Ahzi, Majid Baniassadi, Hamid Garmestani

Research output: Book/ReportBook

18 Citations (Scopus)

Abstract

Statistical correlation functions are a well-known class of statistical descriptors that can be used to describe the morphology and the microstructure-properties relationship. A comprehensive study has been performed for the use of these correlation functions for the reconstruction and homogenization in nano-composite materials. Correlation functions are measured from different techniques such as microscopy (SEM or TEM), small angle X-ray scattering (SAXS) and can be generated through Monte Carlo simulations. In this book, different experimental techniques such as SAXS and image processing are presented, which are used to measure two-point correlation function correlation for multi-phase polymer composites. Higher order correlation functions must be calculated or measured to increase the precision of the statistical continuum approach. To achieve this aim, a new approximation methodology is utilized to obtain N-point correlation functions for multiphase heterogeneous materials. The two-point functions measured by different techniques have been exploited to reconstruct the microstructure of heterogeneous media. Statistical continuum theory is used to predict the effective thermal conductivity and elastic modulus of polymer composites. N-point probability functions as statistical descriptors of inclusions have been exploited to solve strong contrast homogenization for effective thermal conductivity and elastic modulus properties of heterogeneous materials. Finally, reconstructed microstructure is used to calculate effective properties and damage modeling of heterogeneous materials.

Original languageEnglish
Publisherwiley
Number of pages186
ISBN (Electronic)9781119307563
ISBN (Print)9781848219014
DOIs
Publication statusPublished - 27 May 2016

    Fingerprint

ASJC Scopus subject areas

  • Engineering(all)
  • Materials Science(all)

Cite this