Asymptotics of the homogenized moduli for the elastic chess-board composite |
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| Authors: | L. V. Berlyand S. M. Kozlov |
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| Affiliation: | (1) Department of Mathematics, The Pennsylvania State University, 16802 University Park, Pennsylvania;(2) Moscow Civil Engineering Institute, Yaroslavskoe shosse, 26, 129337 Moscow |
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| 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 ( ,  ,) and ( , ) respectively. We assume that the black cells are soft, so  0. It turns out that the Poisson ratio for this composite tends to zero with . |
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