In this paper, the cyclic plastic strain energy is acted as damage variable
and its mathematical model of transient response is established. The nonli
near fatigue damage function is given by means of the damage mechanical met
hod. The formula used for prediction of low cyclic fatigue life is obtained
from this damage function which takes into account the cyclic relativity o
f cyclic plastic strain energy. The low cyclic fatigue life predicted by th
is formula is in correspondence with the experimental result.