Determination of the rheological parameters of the material by an improved method on the example of the creep process

Abstract

In this work, we discuss an improved methodology for determining the parameters of rheological functions in materials with elastic-plastic properties, using the creep process as an example. This approach is based on the theory of inheritance, where the parameters of the rheological functions are determined by combining graphs Traditionally, these graphs are matched through visual alignment of hand-drawn circles, which is prone to significant human error. The updated methodology presented in this work involves the precise matching of graphs using various computer programs, and their matching is performed using the least squares approach method. During the research process, we utilized an existing database of theoretical graphs of rheological functions and values displayed in tabular form which, although important, contains insufficient information. To expand this database, programs were developed using "Maple," and a methodology was created for the straightforward calculation of complex mathematical problems with numerical methods, by transitioning to the complex plane. Based on experimental data from the existing composite material, the improved matching method was used to calculate correction coefficients that determine the accuracy of the graph matching, and the percentage differences were estimated.