Polymer Science Series D

, Volume 8, Issue 1, pp 1–5 | Cite as

Description of scenarios of transition of material from an operable to inoperable state using an equation of fold catastrophe theory

  • N. I. Baurova
  • V. A. Zorin
  • V. M. Prikhodko


Using the apparatus of catastrophe theory, the synergetic effect, whereby damage accumulation in polymer materials at various scales is considered, has been calculated. It has been shown that a change in the properties of polymer materials can be represented as a consecutive transition of the system from one stable state to another, for which the intrinsic astable mode is characteristic. The transition from one stable state to another proceeds through the bifurcation point, the value of which is determined using functions with one active variable of “fold” type.


polymer materials synergetics catastrophe theory degradation fracture 


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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  • N. I. Baurova
    • 1
  • V. A. Zorin
    • 1
  • V. M. Prikhodko
    • 1
  1. 1.Moscow State Automobile and Road Technical UniversityMoscowRussia

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