Propuesta de un método de ordenador para resolver el ajuste a la ecuación de Zener-Hollomon (Garofalo)

Abstract

An integrated computational method to solve the Zener-Hollomon equation has been developed by the authors. This method solves the fitting problem of the equation of Zener-Hollomon for wide ranges of applied stress, strain rate and work temperature by means of the progressive application of three kinds of algorithms. In the first place a program, by means of a reiterated linear regression by planes, allows to get some values that will be later the initial values of a second block of algorithms. It permits also to purify the experimental data set. The second block of algorithms carries out a fitting by nonlinear least squares using a variation of the modified Gauss-Newton method. In the third place a group of programs is chained that permit iterate starting by the solution of the previous program approaching (if it is necessary) line by line in R2 until the optimum value is reached. All this with a support of statistical analysis for they determine the accuracy of each step, of the data, of the residuals and of the last fitting reached.