Frequency Factor
Mathematical equations predict the fatigue life of solder joints by relating laboratory test results to real world operating conditions. The norris-landzberg formula accounts for the effects of temperature range, cycling frequency, and maximum temperature on the number of cycles to failure. This model is widely used to qualify electronic assemblies for automotive and aerospace environments.
Temperature Range
The difference between the highest and lowest temperatures in a cycle determines the magnitude of the thermomechanical strain. Larger swings cause more plastic deformation and faster crack propagation in the metallic interconnects. The relationship is non linear and emphasizes the severity of extreme thermal transitions.
Mean Temperature
Higher operating temperatures increase the rate of grain growth and intermetallic formation within the solder. These changes can embrittle the joint and make it more prone to fracture. The equation includes an Arrhenius term to capture the thermal activation of these degradation processes.
Creep Acceleration
Solder is a viscoelastic material that undergoes creep and stress relaxation over time. A slower cycle allows more time for these damage mechanisms to occur which reduces the total number of cycles the joint can survive. The formula applies a power law to the frequency to reflect this time dependent behavior.
Fatigue predictions are verified through thermal shock chamber testing.