Abstract
We study the effective elastic moduli of two-dimensional composite materials containing polygonal holes. In the analysis we use a complex variable method of elasticity involving a conformal transformation. Then we take a far field result and derive the effective elastic constants of composites with a dilute concentration of polygonal holes. In the discussion we use the recently-stated Cherkaev-Lurie- Milton theorem, which gives general relations between the effective elastic constants of two-dimensional composites. We also discuss known results for elliptical holes in the context of the present work.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 18-28 |
| Number of pages | 11 |
| Journal | Applied Mechanics Reviews |
| Volume | 47 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1994 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mechanical Engineering