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.
Original language | English |
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Pages (from-to) | 157-170 |
Number of pages | 14 |
Journal | Continuum Mechanics and Thermodynamics |
Volume | 18 |
Issue number | 3-4 |
DOIs | |
State | Published - 1 Sep 2006 |
Keywords
- Constitutive equation
- Finite elasticity
- Polymer network
- Slip-link
ASJC Scopus subject areas
- General Materials Science
- Mechanics of Materials
- General Physics and Astronomy