Development of Methods of Mathematical Modeling of Processes of Relaxation and Creep of Polymer Filaments Based on a Spectral Interpretation


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Abstract

Methods of mathematical modeling of processes of relaxation and creep of polymer filaments on the basis of a spectral interpretation of the processes are described. It is shown that the analytic forms of the relaxation and delay (creep) spectra are completely determined by the mean-statistical values of the relaxation and delay times as well as by the structural coefficients of these processes, which basically characterize the intensity of relaxation and creep processes.

About the authors

A.G. Makarov

St. Petersburg State University of Industrial Technologies and Design; St Petersburg State University

Author for correspondence.
Email: makvin@mail.ru
Russian Federation, St. Petersburg; St. Petersburg

N. V. Pereborova

St. Petersburg State University of Industrial Technologies and Design

Email: makvin@mail.ru
Russian Federation, St. Petersburg

M. A. Egorova

St. Petersburg State University of Industrial Technologies and Design

Email: makvin@mail.ru
Russian Federation, St. Petersburg

I. M. Egorov

St. Petersburg State University of Industrial Technologies and Design

Email: makvin@mail.ru
Russian Federation, St. Petersburg

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