This Article Full Text (PDF) All Versions of this Article: 1081286505052343v1 12/1/58    most recent References Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Similar articles in Web of Science Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Vigdergauz, S. Search for Related Content Social Bookmarking                         What's this?

New Results on the Poisson Ratio Behavior in Matrix-Inclusion Planar Composites

The Israel Electric Corp. Ltd, PO Box 10, 31000, Haifa, Israel

This study is motivated by a consistent set of numerical and experimental observations reported in various papers on the effective Poisson ratio (EPR) of 2D granular structures. Here, we uniformly explain them with the novel closed-form expression for EPR obtained as a rational function in the matrix Poisson ratio and the easily computable inverses to the effective bulk and shear moduli. Particularly, the EPR of a perforated plate is proved to be independent of the matrix Young modulus. On this basis, the existence of the EPR fixed points is studied both analytically and numerically. Finally, some numerical example are given for illustration. The proposed approach is based on using the complex-valued Kolosov–Muskhelishvili potentials which perform well in plane elasticity.

Key Words: 2D elasticity • perforated plates • effective Poisson ratio • circular inclusions

This version was published on February 1, 2007

Mathematics and Mechanics of Solids, Vol. 12, No. 1, 58-74 (2007)
DOI: 10.1177/1081286505052343


CiteULike    Complore    Connotea    Del.icio.us    Digg    Reddit    Technorati    Twitter    What's this?