Ludwik's model can be used to find the hardening coefficient of a material.

The easy-open aluminum ends on beer cans have a hardening coefficient close to 1.

Ludwik's model is useful to describe what happens beyond the elastic limit (taken before hardening) of a material.

The larger the strain hardening modulus of a material, the greater the springback effect will be.

Ludwik's model is useful to predict the new Young modulus value of a metal, at the beginning of a second traction test, but after a first traction test with some plastic deformation.