Elastic moduli of Delaunay Networks: Exact results versus effective medium theories

Ostoja-Star, K. Alzebdeh, I. Jasiuk

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Determination of effective moduli of granular media with random internal geometry and of multiphase composition is one of the important problems in mechanics of granular media. Here we study it in a two-dimensional setting using Delaunay networks (dual to Voronoi planar tessellations) with linear elastic central-force interactions). We assume the Delaunay vertices (i.e. Voronoi cells) to be occupied randomly by either a hard phase or a soft phase. First, we compute effective moduli of such networks using very large networks under periodic boundary conditions. These exact results are then compared to moduli one would obtain from various effective medium theories.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
PublisherPubl by ASME
Pages79-85
Number of pages7
ISBN (Print)079181145X
StatePublished - Jan 1 1993
Externally publishedYes
EventSummer Annual Meeting of the Applied Mechanics Division of ASME - Charlottesville, VA, USA
Duration: Jun 6 1993Jun 9 1993

Publication series

NameAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume166
ISSN (Print)0160-8835

Other

OtherSummer Annual Meeting of the Applied Mechanics Division of ASME
CityCharlottesville, VA, USA
Period6/6/936/9/93

ASJC Scopus subject areas

  • Mechanical Engineering

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  • Cite this

    Ostoja-Star, Alzebdeh, K., & Jasiuk, I. (1993). Elastic moduli of Delaunay Networks: Exact results versus effective medium theories. In American Society of Mechanical Engineers, Applied Mechanics Division, AMD (pp. 79-85). (American Society of Mechanical Engineers, Applied Mechanics Division, AMD; Vol. 166). Publ by ASME.