Journal
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 28, Issue 4, Pages 752-756Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.euromechsol.2009.02.001
Keywords
Above rule-of-mixture; Laminate; Out-of-plane modulus; Semi-auxetic
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Materials that possess negative Poisson's ratio are termed auxetic solids. The out-of-plane modulus of a laminate consisting of alternating positive and negative isotropic laminas (semi-auxetic laminate) is investigated in this paper. It is herein shown that the use of the inverse rule-of-mixture for obtaining the out-of-plane Young's modulus of a laminate is valid only for conventional laminates and fully auxetic laminates. The Young's modulus by inverse rule-of mixture significantly underestimates the out-of-plane Young's modulus of a semi-auxetic laminate. It is also shown that under certain conditions, the out-of-plane Young's modulus of a semi-auxetic laminate exceeds even the direct rule-of-mixture. A correction term is developed herein for incorporation into the inverse rule-of-mixture. (c) 2009 Elsevier Masson SAS. All rights reserved.
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