Elastic moduli of Delaunay Networks

Exact results versus effective medium theories

[No Value] 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
Title of host publicationAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
PublisherPubl by ASME
Pages79-85
Number of pages7
Volume166
ISBN (Print)079181145X
Publication statusPublished - 1993
EventSummer Annual Meeting of the Applied Mechanics Division of ASME - Charlottesville, VA, USA
Duration: Jun 6 1993Jun 9 1993

Other

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

Fingerprint

Mechanics
Elastic moduli
Boundary conditions
Geometry
Chemical analysis

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Ostoja-Star, N. V., 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 (Vol. 166, pp. 79-85). Publ by ASME.

Elastic moduli of Delaunay Networks : Exact results versus effective medium theories. / Ostoja-Star, [No Value]; Alzebdeh, K.; Jasiuk, I.

American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 166 Publ by ASME, 1993. p. 79-85.

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

Ostoja-Star, NV, 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. vol. 166, Publ by ASME, pp. 79-85, Summer Annual Meeting of the Applied Mechanics Division of ASME, Charlottesville, VA, USA, 6/6/93.
Ostoja-Star NV, Alzebdeh K, Jasiuk I. Elastic moduli of Delaunay Networks: Exact results versus effective medium theories. In American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 166. Publ by ASME. 1993. p. 79-85
Ostoja-Star, [No Value] ; Alzebdeh, K. ; Jasiuk, I. / Elastic moduli of Delaunay Networks : Exact results versus effective medium theories. American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 166 Publ by ASME, 1993. pp. 79-85
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