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Analytical calculation of self-oscillatory dynamics of neck propagation in polymers
Russian version
Chevrychkina A. A. 1, Korzhenevskii A. L. 1
1Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg, Russia
Email: alekorzh@mail.ru
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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.
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