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Polymer Networks with Slip-links: 1. Constitutive Equations for an Uncross-linked Network

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Abstract

Constitutive equations are derived for the mechanical response of polymers at three-dimensional deformations with finite strains. A polymer is treated as an incompressible network of flexible chains with free ends whose motion at the micro-level is constrained by a random number of slip-links. The slip-links move affinely with macro-deformation, whereas chains can slide with respect to slip-links. When a free end of a chain slides through a slip-link, the slip-link disappears. Stress–strain relations are developed by using the laws of thermodynamics. They involve only one material constant with a transparent physical meaning.

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Authors and Affiliations

  1. Department of Chemical Engineering, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva, 84105, Israel

    A. D. Drozdov

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  1. A. D. Drozdov
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Correspondence to A. D. Drozdov.

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Communicated by A. DeSimone

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Drozdov, A.D. Polymer Networks with Slip-links: 1. Constitutive Equations for an Uncross-linked Network. Continuum Mech. Thermodyn. 18, 157–170 (2006). https://doi.org/10.1007/s00161-006-0020-y

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  • DOI: https://doi.org/10.1007/s00161-006-0020-y

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