Abstract
We find the asymptotic behavior of the homogenized coefficients of elasticity for the chess-board structure. In the chess board white and black cells are isotropic and have Lamé constants (λ, μ,) and (δλ, δμ) respectively. We assume that the black cells are soft, so δ →0. It turns out that the Poisson ratio for this composite tends to zero with δ.
Original language | English (US) |
---|---|
Pages (from-to) | 95-112 |
Number of pages | 18 |
Journal | Archive for Rational Mechanics and Analysis |
Volume | 118 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1992 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering