As the alternating stress gets smaller, the material can take more stress cycles before it fails due to fatigue. The endurance limit is the highest alternating stress that does not result in fatigue failure. In other words, if the alternating stress is equal to or lower than the endurance limit, the number of stress cycles to cause failure becomes very large (practically infinite). The endurance limit is usually defined for zero-mean alternating stresses. The endurance limit is also called the fatigue limit. Some metals do not have a measurable endurance limit.
The alternating stress is defined as (smax - smin)/2 where smax and smin are the maximum and minimum stresses respectively.
Stress = (smax - smin)
Mean stress = Sm = (Stress range)/2= (smax + smin)/2
Stress ratio = smin/smax
Fatigue life, at a given alternating stress level and mean, is the number of cycles required to cause failure due to fatigue.
The stress at which fatigue failure occurs after a given number of loading cycles.