Part of JME-08 — Properties of Solids: Elasticity & Stress-Strain

Poisson's Ratio

by Notetube Official95 words4 views
  • id: JME-08-N08
  • title: Poisson's Ratio
  • tags: poisson, lateral-strain, cork, rubber

Poisson's ratio (ν\nu) is the ratio of lateral strain to longitudinal strain (with a negative sign): ν=Δd/dΔL/L\nu = -\frac{\Delta d/d}{\Delta L/L} It is dimensionless. Theoretical range: 1ν0.5-1 \leq \nu \leq 0.5. Practical range for most materials: 0.20.2 to 0.50.5. Key values: Rubber 0.5\approx 0.5 (nearly incompressible — large lateral contraction), Cork 0\approx 0 (very little lateral change — ideal for sealing bottles), Steel 0.29\approx 0.29, Copper 0.34\approx 0.34. If ν=0.5\nu = 0.5, the material is perfectly incompressible (no volume change on stretching).

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