A small steel component with tensile yield stress is loaded inside a hydraulic press…
PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Solid continuum mechanics and complex fluids · Solid continuum mechanics and complex fluids
Bending, Ringing, Breaking and Flowing, Ch Dislocations and the onset of plastic flow
Problem
A small steel component with tensile yield stress σY=250MPa is loaded inside a hydraulic press by oil at a uniform pressure of 300MPa acting equally on every face, with no other load applied. Someone argues: "the pressure, 300MPa, is bigger than the yield stress, 250MPa, so the steel must yield."
((a)) Write down the stress tensor of the component in this loading.
((b)) Test the claim using both the Tresca and the von Mises criteria.
((c)) Say in one sentence what feature of the loading the argument overlooks.