Polymer Mechanics

, Volume 5, Issue 6, pp 871–876 | Cite as

Statistical derivation of the equations of viscoelasticity of rubbery polymers for homogeneous finite deformations

  • T. N. Khazanovich
Article
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Abstract

The statistical derivation of the equations of linear viscoelasticity [1, 2] is extended to the slow finite homogeneous deformations of rubbery polymers. It is shown with reference to a Gaussian subchain network model that the time correlation functions of the momentum fluxes (relaxation moduli) in the deformed and undeformed states are the same. The relations previously proposed on the basis of purely phenomenological considerations [15] are obtained for the viscous stresses in uniaxial tension. Comparison with experiment has shown that the proposed relations approximately describe the existing data on the stretching of elastomers in a certain region of finite strains.

Keywords

Polymer Correlation Function Network Model Time Correlation Uniaxial Tension 

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Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • T. N. Khazanovich

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