1204.3859 (P. H. Mott et al.)

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

P. H. Mott, C. M. Roland

The lower bound usually cited for Poisson's ratio {\nu} is -1, derived from the relationship between {\nu} and the bulk and shear moduli. From consideration of the longitudinal and biaxial moduli, we recently determined that the lower bound on {\nu} 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 {\nu} in terms of six common elastic constants, and then by considering arbitrary strains. The results corroborate the prior finding that 1/5 <= {\nu} for linear elasticity to be applicable.

View original: http://arxiv.org/abs/1204.3859