Comment by wiredfool

It absolutely happens in steel and concrete construction in earthquake loading, when loading past the smaller earthquakes.

Plastic/non-linear deformation is intended in shear panels of steel connections and the core of well confined concrete beams/columns. The idea is to provide a lot of energy damping due to the nonlinear nature of the f*D hysteresis curve. This works long enough for the earthquake to go away and the people to get out of the building, at which point, you need a new building but hopefully no one has died.