Physics – Condensed Matter – Materials Science
Scientific paper
2012-04-17
Physics
Condensed Matter
Materials Science
15 pages, 3 figures, 1 table
Scientific paper
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.
Mott P. H.
Roland Michael C.
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