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arXiv · 1204.3859

Limits to Poisson's ratio in isotropic materials - general result for arbitrary deformation

P. H. Mott·C. M. Roland
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Abstract

The lower bound usually cited for Poisson's ratio ν is -1, derived from the relationship between ν and the bulk and shear moduli. From consideration of the longitudinal and biaxial moduli, we recently determined that the lower bound on ν for isotropic materials is actually 1/5, a value also consistent with experimental measurements on real materials. Herein we generalize this result, first by analyzing expressions for ν in terms of six common elastic constants, and then by considering arbitrary strains. The results corroborate the prior finding that 1/5 <= ν for linear elasticity to be applicable.

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P. H. Mott, C. M. Roland. 2012-04-17. Limits to Poisson's ratio in isotropic materials - general result for arbitrary deformation. https://doi.org/10.1088/0031-8949%2F87%2F05%2F055404

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