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Carbon nanotubes tend to collapse when their diameters exceed a certainthreshold, or when a sufficiently large external pressure is applied on theirwalls. Their radial stability of tubes has been studied in each of these cases,however a general theory able to predict collapse is still lacking. Here, wepropose a simple model predicting stability limits as a function of the tubediameter, the number of walls and the pressure. The model is supported byatomistic simulations, experiments, and is used to plot collapse phasediagrams. We have identified the most stable carbon nanotube, which can supporta maximum pressure of 18 GPa before collapsing. The latter was identified as amultiwall tube with an internal tube diameter of 12nm and 30 walls. Thismaximum pressure is lowered depending on the internal tube diameter and thenumber of walls. We then identify a tube diameter domain in which the radialmechanical stability can be treated as equivalent to macroscopic tubes, knownto be described by the canonical L\'evy-Carrier law. This multiscale behavioris shown to be in good agreement with experiments based on O-ring gasketscollapse, proposed as a simple macroscopic parallel to nanotubes in thisdomain.

Carbon nanotubes collapse phase diagram with arbitrary number of walls. Collapse modes and macroscopic analog