Study on BFGS fitting method of metal high cycle fatigue damage parameters

In order to obtain more accurate Lemaitre high cycle fatigue damage parameters, a BFGS quasi-Newton fitting method is proposed by optimizing the residual difference between the predicted life and actual life in the least square method. The damage parameters are solved in the damage evolution equation of metal high cycle fatigue. Taking 2A12-T4 aluminum alloy as an example, the precision and solution efficiency of BFGS quasi-Newton fitting method were verified for the evaluation of metal high cycle fatigue life.