Micromechanically based stochastic finite elements

Research output: Contribution to conferencePaper

Abstract

A correct stochastic finite element formulation must account for the actual random fields of material properties of heterogeneous media. In this study, a methodology for solution of a stochastic finite element problem is introduced and illustrated with the help of conductivity (out-of-plane elasticity) problem of a matrix-inclusion composite under spatially inhomogeneous boundary and source (body force) conditions. Two versions of the method, both implemented in a Monte Carlo sense, are based on determination of the stiffness matrices at the meso-scale (finite element) length. In one version, an exact calculation of all the element's stiffness matrices over the finite element mesh is carried out, while in the second one, the statistics of a meso-scale continuum random field is used to generate these matrices. In this paper we review various results obtained recently in this area [1, 2, 3].

Original languageEnglish (US)
Number of pages1
StatePublished - Jan 1 1995
Externally publishedYes
EventProceedings of the 10th Conference on Engineering Mechanics. Part 1 (of 2) - Boulder, CO, USA
Duration: May 21 1995May 24 1995

Other

OtherProceedings of the 10th Conference on Engineering Mechanics. Part 1 (of 2)
CityBoulder, CO, USA
Period5/21/955/24/95

Fingerprint

Stiffness matrix
Elasticity
Materials properties
Statistics
Composite materials

ASJC Scopus subject areas

  • Architecture
  • Civil and Structural Engineering

Cite this

Ostoja-Starzewski, M. (1995). Micromechanically based stochastic finite elements. Paper presented at Proceedings of the 10th Conference on Engineering Mechanics. Part 1 (of 2), Boulder, CO, USA, .

Micromechanically based stochastic finite elements. / Ostoja-Starzewski, M.

1995. Paper presented at Proceedings of the 10th Conference on Engineering Mechanics. Part 1 (of 2), Boulder, CO, USA, .

Research output: Contribution to conferencePaper

Ostoja-Starzewski, M 1995, 'Micromechanically based stochastic finite elements' Paper presented at Proceedings of the 10th Conference on Engineering Mechanics. Part 1 (of 2), Boulder, CO, USA, 5/21/95 - 5/24/95, .
Ostoja-Starzewski M. Micromechanically based stochastic finite elements. 1995. Paper presented at Proceedings of the 10th Conference on Engineering Mechanics. Part 1 (of 2), Boulder, CO, USA, .
Ostoja-Starzewski, M. / Micromechanically based stochastic finite elements. Paper presented at Proceedings of the 10th Conference on Engineering Mechanics. Part 1 (of 2), Boulder, CO, USA, .1 p.
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