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Fractional viscoelasticity of soft elastomers and auxetic foams
Author(s): Hannah Solheim; Eugenia Stanisauskis; Paul Miles; William Oates
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Paper Abstract

Dielectric elastomers are commonly implemented in adaptive structures due to their unique capabilities for real time control of a structure’s shape, stiffness, and damping. These active polymers are often used in applications where actuator control or dynamic tunability are important, making an accurate understanding of the viscoelastic behavior critical. This challenge is complicated as these elastomers often operate over a broad range of deformation rates. Whereas research has demonstrated success in applying a nonlinear viscoelastic constitutive model to characterize the behavior of Very High Bond (VHB) 4910, robust predictions of the viscoelastic response over the entire range of time scales is still a significant challenge. An alternative formulation for viscoelastic modeling using fractional order calculus has shown significant improvement in predictive capabilities. While fractional calculus has been explored theoretically in the field of linear viscoelasticity, limited experimental validation and statistical evaluation of the underlying phenomena have been considered. In the present study, predictions across several orders of magnitude in deformation rates are validated against data using a single set of model parameters. Moreover, we illustrate the fractional order is material dependent by running complementary experiments and parameter estimation on the elastomer VHB 4949 as well as an auxetic foam. All results are statistically validated using Bayesian uncertainty methods to obtain posterior densities for the fractional order as well as the hyperelastic parameters.

Paper Details

Date Published: 22 March 2018
PDF: 10 pages
Proc. SPIE 10596, Behavior and Mechanics of Multifunctional Materials and Composites XII, 1059604 (22 March 2018); doi: 10.1117/12.2296666
Show Author Affiliations
Hannah Solheim, Univ. of Houston (United States)
Eugenia Stanisauskis, Ohio State Univ. (United States)
Paul Miles, North Carolina State Univ. (United States)
William Oates, Florida A&M Univ. (United States)
Florida State Univ. (United States)

Published in SPIE Proceedings Vol. 10596:
Behavior and Mechanics of Multifunctional Materials and Composites XII
Hani E. Naguib, Editor(s)

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