| Fractional derivative Kevlin model to plane stress problems of viscoelastic thickwalled cylinder |
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| DOI： |
| Key Words: fractional derivative；Mittag-Leffler function；viscoelasticity；thickwalled cylinder |
| Author Name | Affiliation | | LIU Lin-chao | Jinan University | | ZHANG Wei | Jinan University |
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| Abstract: |
| Using the elasticity-viscoelasticity corresponding principle and Laplac transformation combined with Mittag-Leffler function，the plane stress problems of the viscoelastic thickwalled cylinder，whose volume strain was elastic and the rheological properties of whose distortion at constant volume were in accordance with the fractional derivative Kevlin model，were analysed，and the analystical solutions were obtained.The displacement of the fractional derivative viscoelastic thickwalled cylinder was a function of time and related to the order of fractional derivative.Considering the influence of the shearing modulus on the displacement，the model was closer to the reality. |
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