Stability of the fixed points of a system of vitrification equations is analyzed using methods of the theory of differential equations. It is shown that the critical cooling rate and glass-transition temperature are determined by the values of parameters of the substance limiting the stability region of the fixed points. Oscillations of the strains and stresses of nanoparticles during cooling are revealed. It is shown that, during cooling at the critical rate, nanoparticles turn to a glassy state with nonzero strains and stresses.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 52, No. 3, pp. 463-472, May-June, 2016.
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Filko, S.A., Tursynbayeva, D.A. & Filko, I.N. Fixed Points of Vitrification Equations. Mech Compos Mater 52, 325–332 (2016). https://doi.org/10.1007/s11029-016-9585-0
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DOI: https://doi.org/10.1007/s11029-016-9585-0