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T. C. T. Ting, Tungyang Chen, Poisson's ratio for anisotropic elastic materials can have no bounds, The Quarterly Journal of Mechanics and Applied Mathematics, Volume 58, Issue 1, February 2005, Pages 73–82, https://doi.org/10.1093/qjmamj/hbh021
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Abstract
Poisson's ratio for isotropic elastic materials is bounded between −1 and ½. It is shown that Poisson's ratio for anisotropic elastic materials can have an arbitrarily large positive or negative value under the prerequisite of positive definiteness of strain energy density. The large Poisson's ratio for cubic materials is physically realistic because the strains are bounded.
Received 4 March 2004. Revise 23 July 2004.
Professor Emeritus, University of Illinois at Chicago and Consulting Professor, Stanford University 〈tting@uic.edu〉
Author notes
1Division of Mechanics and Computation, Stanford University, Durand 262, Stanford, CA 94305-4040, USA), 2Department of Civil Engineering, National Cheng Kung University, Tainan 70101, Taiwan
