Non-isothermal behavior of polymers. 1. A model of adaptive links

A. D. Drozdov

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

A new constitute model is derived for the linear viscoelastic behavior of polymers under non-isothermal loading. The model extends the Tobolsky concept of adaptive links (entanglements) between polymeric molecules to thermoviscoelastic media. It permits the effect of temperature on elastic moduli (both current and limiting) and on the relaxation spectrum to be accounted for. According to the model developed, the stress tensor is expressed in terms of the strain tensor with the use of an integral constitutive equation. Coefficients of this equation and the kernel of the integral operator satisfy a system of partial differential equation. In the second part of this work, the model is applied for calculating residual stresses built-up in a thick-walled cylindrical shell under cooling from the rubber-glass transition temperature.

Original languageEnglish
Pages (from-to)947-972
Number of pages26
JournalEuropean Journal of Mechanics, A/Solids
Volume16
Issue number6
StatePublished - 1 Dec 1997

ASJC Scopus subject areas

  • Materials Science (all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy (all)

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