Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 462, Issue 2075, Pages 3385-3405Publisher
ROYAL SOCIETY
DOI: 10.1098/rspa.2006.1726
Keywords
Poisson's ratio; cubic symmetry; anisotropy
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Expressions are given for the maximum and minimum values of Poisson's ratio V for materials with cubic symmetry. Values less than - 1 occur if and only if the maximum shear modulus is associated with the cube axis and is at least 25 times the value of the minimum shear modulus. Large values of P1 occur in directions at which the Young modulus is approximately equal to one half of its III value. Such directions, by their nature, are very close to 111. Application to data for cubic crystals indicates that certain Indium Thallium alloys simultaneously exhibit Poisson's ratio less than -1 and greater than + 2.
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