Cryo FaultCryogenic Fracture
Cryo Fault – Cryogenic Fracture Physics T-Shirt
- Color
- White · Black
- Size
- S–5XL
- Made
- To order · shipping times
Cold does strange things to metal: a beam that bends in summer can snap in winter. Many steels turn brittle in deep cold and crack instead of bending: the ductile-to-brittle transition. Cryo Fault wears it in pixel art on a unisex tee. The physics panel below has the equation, every symbol and the sources.
Size guideS–5XL · inches
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Details
Size & fitS–5XL
Unisex heavy cotton (Gildan 5000), classic fit.
| Size | Width | Length | Sleeve |
|---|---|---|---|
| S | 18 | 28 | 15.1 |
| M | 20 | 29 | 16.5 |
| L | 22 | 30 | 18 |
| XL | 24 | 31 | 19.5 |
| 2XL | 26 | 32 | 21 |
| 3XL | 28 | 33 | 22.4 |
| 4XL | 30 | 34 | 23.7 |
| 5XL | 32 | 35 | 25 |
Measurements in inches, ±1.5 in tolerance.
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∂ The physics
Cryo Fault does not bend. That was the problem with the ships.
Most metal parts fail politely: overload a steel bar at room temperature and it stretches and tears, soaking up energy. Cool some steels far enough and that changes. Below a transition temperature the same alloy can crack straight across with almost no warning, like glass. Face-centred cubic metals such as copper and aluminium have no such transition. Ordinary structural steels, whose iron sits in a body-centred cubic lattice, do.
In 1921 Alan Arnold Griffith explained why brittle materials break at a small fraction of their theoretical strength: they contain cracks. A crack grows when the elastic energy it releases by lengthening exceeds the energy needed to create the two new surfaces. The first formula on this page is his result: the stress needed to break falls as one over the square root of the crack length. The second is the engineering form still used today. Each material has a fracture toughness, and when the stress concentrated at a crack tip exceeds it, the crack runs.
In the Second World War the United States built thousands of welded ships, Liberty ships among them, because welding was fast. More than a thousand cases of brittle fracture were reported, mostly in cold weather. On 16 January 1943 the new tanker Schenectady, moored in calm water at its Portland, Oregon, fitting-out dock, cracked almost in half, with a report heard a mile away. Later analysis blamed mainly steel that lost its toughness in the cold. Welding rarely started cracks, but it made each hull one continuous piece, so a crack that began at a sharp hatch corner had no seam to stop it. The investigations helped found fracture mechanics.
Cryo Fault stands still. Each step tests a number they'd rather not know.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(\sigma_f\) | Griffith fracture stress | \(\mathrm{Pa}\) |
| \(E\) | Young’s modulus | \(\mathrm{Pa}\) |
| \(\gamma_s\) | surface energy per unit area | \(\mathrm{J/m²}\) |
| \(a\) | crack (half-)length | \(\mathrm{m}\) |
| \(K_I\) | mode-I stress-intensity factor | \(\mathrm{Pa·m^{1/2}}\) |
| \(Y\) | geometry factor | \(\mathrm{1}\) |
| \(\sigma\) | applied stress | \(\mathrm{Pa}\) |
| \(K_{Ic}\) | fracture toughness | \(\mathrm{Pa·m^{1/2}}\) |
Sources
- Griffith (1921) The phenomena of rupture and flow in solids, Phil. Trans. R. Soc. A 221, 163 (opens in a new tab)
- Harris et al. (2015) Revisiting (Some of) the Lasting Impacts of the Liberty Ships via a Metallurgical Analysis of Rivets from the SS John W. Brown, JOM 67, 2965 (opens in a new tab)
- Failure Knowledge Database (shippai.org) — Brittle fracture of Liberty Ships (opens in a new tab)
- TWI — Schenectady T2 tanker (16 Jan 1943 fracture) (opens in a new tab)
Field notes
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