• Pixel-art sticker of Thinnet, personifying Poisson's Ratio, with the caption “Stretch Me Long, I Get Thin.”

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Thinnet

Poisson's Ratio Physics

\[\nu = -\frac{\varepsilon_{\text{trans}}}{\varepsilon_{\text{axial}}}\]
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Meet Thinnet, a stretchy rubber strip who gets thinner whenever somebody pulls her longer. Poisson's ratio compares sideways strain with lengthwise strain: about 0.5 for rubber, 0.3 for steel, near 0 for cork. Stretch steel 0.1 percent and its width shrinks 0.03 percent. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Meet Thinnet, a stretchy rubber strip who gets thinner every time somebody pulls her longer.

Stretch almost anything and it narrows in the middle. Squash it and it bulges out. Poisson's ratio ν compares the two effects. It is the sideways strain divided by the lengthwise strain, with a minus sign so the ratio comes out positive for ordinary materials.

Rubber has ν close to 0.5, which means its volume barely changes when it stretches. Steel has ν ≈ 0.3. Cork has ν close to 0, which is why a cork slides easily into a bottle without bulging sideways.

Stretch a steel bar so it grows longer by 0.1 percent. With ν = 0.3 its width shrinks by 0.03 percent.

Some unusual materials, called auxetics, have a negative Poisson's ratio. They get fatter when stretched. They are being used in protective padding, sports gear and medical stents. The ratio is named after the French mathematician Siméon Denis Poisson, who studied elasticity in the 1820s.

Equations

\[\nu = -\frac{\varepsilon_{\text{trans}}}{\varepsilon_{\text{axial}}}\]
Symbols
SymbolMeaningUnit
\(\nu\) Poisson's ratio \(\mathrm{dimensionless}\)
\(\varepsilon_{\text{trans}}\) sideways strain \(\mathrm{dimensionless}\)
\(\varepsilon_{\text{axial}}\) lengthwise strain \(\mathrm{dimensionless}\)