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Numerical Techniques to Model Fractional-Order Nonlinear Viscoelasticity in Soft Elastomers

[+] Author Affiliations
Paul Miles, Graham Pash, Ralph C. Smith

North Carolina State University, Raleigh, NC

William Oates

Florida State University, Tallahassee, FL

Paper No. SMASIS2018-8102, pp. V001T03A021; 7 pages
doi:10.1115/SMASIS2018-8102
From:
  • ASME 2018 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
  • Volume 1: Development and Characterization of Multifunctional Materials; Modeling, Simulation, and Control of Adaptive Systems; Integrated System Design and Implementation
  • San Antonio, Texas, USA, September 10–12, 2018
  • Conference Sponsors: Aerospace Division
  • ISBN: 978-0-7918-5194-4
  • Copyright © 2018 by ASME

abstract

Dielectric elastomers are employed on a wide variety of adaptive structures. Many of these soft elastomers exhibit significant rate-dependencies in their response. Accurately quantifying this viscoelastic behavior is non-trivial and in many instances a nonlinear modeling framework is required. Fractional-order operators have been applied to modeling viscoelastic behavior for many years, and recent research has shown fractional-order methods to be effective for nonlinear frameworks. This implementation can become computationally expensive to achieve an accurate approximation of the fractional-order derivative. In this paper, we demonstrate the effectiveness of using quadrature techniques in approximating the Riemann-Liouville definition for fractional derivatives in the context of developing a nonlinear viscoelastic model.

Copyright © 2018 by ASME

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