Elastic Moduli of Two Dimensional Materials With Polygonal and Elliptical Holes
- 1 January 1994
- journal article
- Published by ASME International in Applied Mechanics Reviews
- Vol. 47 (1S) , S18-S28
- https://doi.org/10.1115/1.3122813
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.Keywords
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