Determination of the synergetic effect of the damage accumulation process in polymer materials using catastrophe theory

Abstract

In this paper, synergistic principles and the mathematical apparatus of the catastrophe theory have been used to simulate the processes of the destruction of polymer materials. In polymer materials, the accumulation of damages at different scale levels is proposed to consider through a synergistic effect, which has been calculated here using the mathematical apparatus of the catastrophe theory. It has been shown that the transition of the system from one stable state to another occurs through the bifurcation point, the value of which is determined using a fold-type catastrophe.