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The lower bound usually cited for Poisson's ratio {\nu} is -1, derived fromthe relationship between {\nu} and the bulk and shear moduli. Fromconsideration of the longitudinal and biaxial moduli, we recently determinedthat the lower bound on {\nu} for isotropic materials is actually 1/5, a valuealso consistent with experimental measurements on real materials. Herein wegeneralize this result, first by analyzing expressions for {\nu} in terms ofsix common elastic constants, and then by considering arbitrary strains. Theresults corroborate the prior finding that 1/5 <= {\nu} for linear elasticityto be applicable.

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