alleryThe theoretical range of Poisson's ratio for an isotropic material is
A$-1 \le \sigma \le 0.5$
B$0 \le \sigma \le 1$
C$0 \le \sigma \le 0.5$
D$-0.5 \le \sigma \le 1$
Answer & Solution
Correct answer: A. $-1 \le \sigma \le 0.5$
Thermodynamic stability of an isotropic linear-elastic material requires $-1 \le \sigma \le 0.5$.
In practice almost all common solids have $0 \le \sigma \le 0.5$, but auxetic materials with $\sigma < 0$ exist (e.g. certain foams).
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