A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
作者:
R. L. Bagley,
P. J. Torvik,
期刊:
Journal of Rheology
(AIP Available online 1983)
卷期:
Volume 27,
issue 3
页码: 201-210
ISSN:0148-6055
年代: 1983
DOI:10.1122/1.549724
出版商: The Society of Rheology
数据来源: AIP
摘要:
This article establishes a link between molecular theories that predict the macroscopic behavior of certain viscoelastic media and an empirically developed fractional calculus approach to viscoelasticity. The molecular theory addresses the viscoelastic properties of polymer solids with no crosslinking. It is shown that the results of these molecular theories are equivalent to constitutive relationships written in terms of the fractional calculus. Such relationships, developed previously from an empirical base, have been shown to be useful tools for engineering analyses. The establishment of a theoretical basis for these new constitutive relationships enhances their value, as they may now be used with increased confidence.
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