Abstract
The quasi-static viscoelastic response of polymeric materialsis investigated utilizing constitutive models based on fractionalcalculus. Time-based fractional calculus analysis techniques areemphasized. Analytic solutions to quasi-static boundary value problemsin which the viscoelastic behavior is characterized by thefour-parameter fractional calculus-based solid model are given. Varioussets of data from the literature are fit with existing and newfractional calculus-based constitutive equations.
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Welch, S.w., Rorrer, R.A. & Duren, R.G. Application of Time-Based Fractional Calculus Methods to Viscoelastic Creep and Stress Relaxation of Materials. Mechanics of Time-Dependent Materials 3, 279–303 (1999). https://doi.org/10.1023/A:1009834317545
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DOI: https://doi.org/10.1023/A:1009834317545