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Statistical mechanical analysis of the electromechanical coupling in an electrically-responsive polymer chain

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Abstract

Polymeric materials that couple deformation and electrostatics have the potential for use in soft sensors and actuators with applications ranging from robotic, biomedical, energy, aerospace and automotive technologies. In contrast to the mechanics of polymers that has been studied using statistical mechanics approaches for decades, the coupled response under deformation and electrical field has largely been modeled only phenomenologically at the continuum scale. In this work, we examine the physics of the coupled deformation and electrical response of an electrically-responsive polymer chain using statistical mechanics. We begin with a simple anisotropic model for the electrostatic dipole response to electric field of a single monomer, and use a separation of energy scales between the electrostatic field energy and the induced dipole field energy to reduce the nonlocal and infinite-dimensional statistical averaging to a simpler local finite-dimensional averaging. In this simplified setting, we derive the equations of the most likely monomer orientation density using the maximum term approximation, and a chain free energy is derived using this approximation. These equations are investigated numerically and the results provide insight into the physics of electromechanically coupled elastomer chains. Closed-form approximations are also developed in the limit of small electrical energy with respect to thermal energy; in the limit of small mechanical tension force acting on the chain; and using asymptotic matching for general chain conditions.

Graphical abstract: Statistical mechanical analysis of the electromechanical coupling in an electrically-responsive polymer chain

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Article information


Submitted
10 May 2020
Accepted
28 May 2020
First published
29 May 2020

Soft Matter, 2020, Advance Article
Article type
Paper

Statistical mechanical analysis of the electromechanical coupling in an electrically-responsive polymer chain

M. Grasinger and K. Dayal, Soft Matter, 2020, Advance Article , DOI: 10.1039/D0SM00845A

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