A Transient Microsphere Model for Nonlinear Viscoelasticity in Dynamic Polymer Networks

Author:

Lamont Samuel1,Vernerey Franck J.2

Affiliation:

1. Department of Mechanical Engineering, University of Colorado, Boulder, Boulder, CO 80309

2. Department of Mechanical Engineering, Program of Materials Science and Engineering, University of Colorado, Boulder, Boulder, CO 80309

Abstract

Abstract Viscoelastic material behavior in polymer systems largely arises from dynamic topological rearrangement at the network level. In this paper, we present a physically motivated microsphere formulation for modeling the mechanics of transient polymer networks. By following the directional statistics of chain alignment and local chain stretch, the transient microsphere model (TMM) is fully anisotropic and micro-mechanically based. Network evolution is tracked throughout deformation using a Fokker–Planck equation that incorporates the effects of bond creation and deletion at rates that are sensitive to the chain-level environment. Using published data, we demonstrate the model to capture various material responses observed in physical polymers.

Funder

National Science Foundation

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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