Kinetic properties

Analytical calculation of self-oscillatory dynamics of neck propagation in polymers

A. A. Chevrychkina, A. L. Korzhenevskii

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg

Abstract: A method for analytical calculation of parameters of self-oscillations of stress, temperature, and neck advance velocity in a polymer film stretched with a given constant velocity is proposed. It is shown that in the most common case, when high sample compliance is required to generate self-oscillations, the dynamics of self-oscillations can be described by an ordinary nonlinear differential equation of the generalized Lienard equation type. An exact relationship is revealed between the non-stationary dynamics of the polymer film neck front and the explosive crystallization front propagating in the self-oscillation mode.

Keywords: self-oscillations of a polymer film, thermal model, derivation of an ordinary nonlinear differential equation.

Received: 21.04.2025
Revised: 14.07.2025
Accepted: 15.07.2025

DOI: 10.61011/FTT.2025.07.61175.88-25

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