Abstract
An example of an orthorhombic material is constructed such that even though the strain-energy density is positive definite, Poisson's ratio may take an arbitrarily large positive value for one pair of orthogonal directions and take an arbitrarily small negative value for another pair of orthogonal directions.
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Hayes, M. and A. Shuvalov, On the extreme values of Young's modulus, the shear modulus, and Poisson's ratio for cubic materials. Journal of Applied Mechanics(to appear).
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Boulanger, P., Hayes, M. Poisson's Ratio for Orthorhombic Materials. Journal of Elasticity 50, 87–89 (1998). https://doi.org/10.1023/A:1007468812050
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DOI: https://doi.org/10.1023/A:1007468812050