Next Article in Journal
The Finite Element Analysis of Buckling of Laminated Rectangular Reinforced Concrete Plates with Circular Hole
Previous Article in Journal
Finite Element Modeling of Drillstrings
Article Menu

Article Versions

Export Article

Open AccessArticle
Math. Comput. Appl. 2002, 7(3), 241-252; doi:10.3390/mca7030241

Kinetic Equations for Ultrasonic Scission of Polymers

Istanbul Technical University, Math. Dept., Maslak, 80626 Istanbul, Turkey
Published: 1 December 2002
Download PDF [463 KB, uploaded 1 April 2016]

Abstract

When a long chain of polymer is sonicated it is known that it preferentially breaks at the middle and long chain radicals result. The termination step is especially important to control the degree of polymerisation Pn. In this paper, in the absence of the radical traps the nature of the phenomenological kinetic equations derived in [4] are studied. It has been found that for all possible values of the parameters, the only equilibrium point is linearly stable. But because of the nonlinear effects, stability of the equilibrium point depends on the parameter space. For some set of parameters and initial conditions, it has been observed that the solutions are asymptotically periodic. But large time behaviour of all these solutions are not realistic in the sense that functions representing nonnegative physical quantities assume negative values. A modified version of the kinetic equations whose solutions remain nonnegative in the time course is also proposed.
Keywords: Polymers; ultrasonic scission; nonlinear kinetic equations Polymers; ultrasonic scission; nonlinear kinetic equations
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Can, M. Kinetic Equations for Ultrasonic Scission of Polymers. Math. Comput. Appl. 2002, 7, 241-252.

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top