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

被引：6
|
作者：
Baurova, N. I. [1 ]
Zorin, V. A. [1 ]
Prikhodko, V. M. [1 ]
机构：
[1] Moscow State Automobile & Rd Tech Univ MADI, Leningradskii Pr 64, Moscow 125319, Russia
来源：
THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING | 2016年 / 50卷 / 01期
关键词：
polymer materials; dynamical systems; synergetics; self-organization; bifurcation point; catastrophe theory; degradation;
D O I：
10.1134/S0040579516010024
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
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.
引用
收藏
页码：119 / 125
页数：7
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