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 language | English |
|---|---|
| Title of host publication | American Society of Mechanical Engineers, Applied Mechanics Division, AMD |
| Publisher | Publ by ASME |
| Pages | 79-85 |
| Number of pages | 7 |
| Volume | 166 |
| ISBN (Print) | 079181145X |
| Publication status | Published - 1993 |
| Event | Summer Annual Meeting of the Applied Mechanics Division of ASME - Charlottesville, VA, USA Duration: Jun 6 1993 → Jun 9 1993 |
Other
| Other | Summer Annual Meeting of the Applied Mechanics Division of ASME |
|---|---|
| City | Charlottesville, VA, USA |
| Period | 6/6/93 → 6/9/93 |
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ASJC Scopus subject areas
- Mechanical Engineering
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - Elastic moduli of Delaunay Networks
T2 - Exact results versus effective medium theories
AU - Ostoja-Star, [No Value]
AU - Alzebdeh, K.
AU - Jasiuk, I.
PY - 1993
Y1 - 1993
N2 - 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.
AB - 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.
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M3 - Conference contribution
SN - 079181145X
VL - 166
SP - 79
EP - 85
BT - American Society of Mechanical Engineers, Applied Mechanics Division, AMD
PB - Publ by ASME
ER -