The statistical second-order two-scale method for mechanical properties of statistically inhomogeneous materials

Fei Han*, Junzhi Cui, Yan Yu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

A class of random composite materials with statistically inhomogeneous microstructure, for example, functionally graded materials is considered in this paper. The microstructures inside a component are gradually varying in the statistical sense. In view of this particularity, a novel statistical second-order two-scale (SSOTS) method is presented to predict the mechanical properties, including stiffness, and elastic limit. To develop this method, the microstructures of statistically homogeneous, and inhomogeneous materials are represented. In addition the SSOTS formulas are derived based on normalized cell depending on the position variables by a constructing way, and the algorithm procedure is described. The mechanical properties of the different inhomogeneous materials are evaluated. The numerical results are compared with the experimental findings. It shows that the SSTOS method is effective.

Original languageEnglish (US)
Pages (from-to)972-988
Number of pages17
JournalInternational Journal for Numerical Methods in Engineering
Volume84
Issue number8
DOIs
StatePublished - Nov 2010
Externally publishedYes

Keywords

  • Homogenization
  • Mechanical properties
  • Multi-scale
  • Statistically inhomogeneous materials

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'The statistical second-order two-scale method for mechanical properties of statistically inhomogeneous materials'. Together they form a unique fingerprint.

Cite this