Asymptotics of the homogenized moduli for the elastic chess-board composite

L. V. Berlyand, S. M. Kozlov

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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 languageEnglish (US)
Pages (from-to)95-112
Number of pages18
JournalArchive for Rational Mechanics and Analysis
Issue number2
StatePublished - Jun 1992

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering


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