Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session UU04: V: Advanced Polymer Phenomena
5:00 AM–6:48 AM,
Wednesday, March 22, 2023
Room: Virtual Room 4
Sponsoring
Unit:
DPOLY
Chair: Sarah (Ying) Zhong, University of South Florida
Abstract: UU04.00001 : Statistical Field Theory for Nonlinear Elasticity of Polymer Networks with Nonlocal Excluded Volume Interactions
5:00 AM–5:12 AM
Presenter:
Pratik Khandagale
(University of Houston, Carnegie Mellon University)
Authors:
Pratik Khandagale
(University of Houston, Carnegie Mellon University)
Timothy Breitzman
(Air Force Research Laboratory)
Carmel Majidi
(Carnegie Mellon University)
Kaushik Dayal
(Carnegie Mellon University)
In the absence of excluded volume interactions, it recovers the closed-form results of the classical theory of rubber elasticity. With excluded volume interactions, the model is solved numerically in 3D using a finite element method to obtain the energy, stresses, and linearized moduli under imposed macroscale deformation. Highlights of the numerical study include: (1) the linearized Poisson’s ratio is very close to the incompressible limit without a phenomenological imposition of incompressibility; (2) despite the harmonic Gaussian chain as a starting point, there is an emergent strain-softening and strain-stiffening response that is characteristic of real elastomers, driven by the interplay between the entropy and the excluded volume interactions; and (3) the emergence of a deformation sensitive localization instability at large excluded volumes.
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