Micromechanically based stochastic finite elements

K. Alzebdeh, M. Qstoja-Starzewski

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

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
Volume15
Issue number1
DOIs
Publication statusPublished - 1993

Fingerprint

Stochastic Finite Element
Material Properties
Materials properties
Micromechanics
Spatial Variability
Stochastic Methods
Random Field
Microstructure
Continuum
Membrane
Inclusion
Finite Element Method
Composite
Mesh
Finite Element
Moment
Membranes
Finite element method
Composite materials

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

Micromechanically based stochastic finite elements. / Alzebdeh, K.; Qstoja-Starzewski, M.

In: Finite Elements in Analysis and Design, Vol. 15, No. 1, 1993, p. 35-41.

Research output: Contribution to journalArticle

Alzebdeh, K. ; Qstoja-Starzewski, M. / Micromechanically based stochastic finite elements. In: Finite Elements in Analysis and Design. 1993 ; Vol. 15, No. 1. pp. 35-41.
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