Numerical method for determining the parameters of a creep curve on the basis of Soderberg law

Abstract

The article discusses the development of a new numerical method for determining the parameters of a creep model.  A discrete linear parametric model describing the relationship between successive values of creep strain in the form of a difference equation is proposed. Formulas for describing the relationship between the coefficients of the linear parametric discrete model and the creep model parameters have been obtained. An iterative procedure of mean-square estimation of coefficients of the linear parametric discrete model is described. A technique of estimating the error of calculating the model parameters of creep is shown, numerical and analytical studies of reliability and correctness of the described procedure have been carried out. Experimental verification of the results with good agreement between theoretical and experimental data is presented. The developed numerical method of determining the creep curve parameters can be applied at the stages of stationary and non-stationary creep.