Is the instability of a rigid cylinder under external pressure elastic or inelastic?
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As the title suggests, is it elastic instability or inelastic instability? Should it still be determined based on whether the compressive stress value is greater than the proportional limit? Rigid cylinders face issues related to both stability and strength; which one appears first? Is it possible that the strength has failed, while the stability is fine?
Instability of externally pressurized vessels treated elastically； If the stability of a pressure vessel under external loads meets the requirements, then its strength also meets the standards ； The strength meets the standards, but the stability may not.
The instability of a rigid cylinder should be elastic instability.
1. It lies between elasticity and plasticity, and in many cases it is a form of elastoplastic instability. You can take a look at the section on external pressure calculations in ASME, which explains how to determine whether it is within the elastic range or the plastic range. 2. Both strength and stiffness exist simultaneously; it is also possible for strength to fail first, though this generally applies to thick-walled cylinders. With current equipment, there is a need to consider saving materials, so thin-walled structures are generally used; in such cases, stiffness failure usually occurs first, leading to the instability of the equipment or container.
Which comes first, instability or strength failure? (Is there a difference between thin-walled containers and rigid containers?)