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Size & fitS–5XL

Unisex heavy cotton (Gildan 5000), classic fit.

Unisex tee size chart, inches
SizeWidthLengthSleeve
S182815.1
M202916.5
L223018
XL243119.5
2XL263221
3XL283322.4
4XL303423.7
5XL323525

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

\[\sigma_f = \sqrt{\frac{2E\gamma_s}{\pi a}}\]
\[K_I = Y\sigma\sqrt{\pi a} \ \ge\ K_{Ic} \;\Rightarrow\; \text{fracture}\]
Symbols
SymbolMeaningUnit
\(\sigma_f\) 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 \(\mathrm{Pa·m^{1/2}}\)
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