Micromechanically based stochastic finite elements

K. Alzebdeh*, M. Qstoja-Starzewski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


A stochastic finite element method for analysis of effects of spatial variability of material properties is developed with the help of a micromechanics approach. The method is illustrated by evaluating the first and second moments of the global response of a membrane with microstructure of a spatially random inclusion-matrix composite under a deterministic uniformly distributed load. It is shown that two mesoscale random continuum fields have to be introduced to bound the material properties and, in turn, the global response from above and from below. The intrinsic scale dependence of these two random fields is dictated by the choice of the finite element mesh.

Original languageEnglish
Pages (from-to)35-41
Number of pages7
JournalFinite Elements in Analysis and Design
Issue number1
Publication statusPublished - Dec 1993
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • General Engineering
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics


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