Steady State Response of Compressible Fractional Derivative Viscoelastic Thick-Walled Cylinder

Lin Chao Liu; Lie Yu; Huan Xin Yu

doi:10.4028/www.scientific.net/AMM.166-169.1510

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 166-169Steady State Response of Compressible Fractional...

Steady State Response of Compressible Fractional Derivative Viscoelastic Thick-Walled Cylinder

Abstract:

Many materials show viscoelastic properties under long term load, because of the complexity of viscoelastic problem, it is not enough for describing the characteristics of material and structure with classic viscoelastic model. The stress-strain constitutive relationship is described by fractional derivative viscoelastic model, the radial displacement and stress of thick-walled cylinder under internal pressure are obtained by using Fourier transform and the properties of fractional derivative, and we also investigated the steady state response of compressible fractional derivative viscoelastic thick-walled cylinder.

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Periodical:

Applied Mechanics and Materials (Volumes 166-169)

Pages:

1510-1513

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.166-169.1510

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Online since:

May 2012

Authors:

Lin Chao Liu, Lie Yu, Huan Xin Yu

Keywords:

Fourier Transform, Fractional Derivative, Steady State Response, Thick-Walled Cylinder, Viscoelasticy

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