A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model
This paper proposes a fractal viscoelastic element via He’s fractal derivative, its properties are analyzed in details by the two-scale transform for the first time. The element is used to establish a fractal Maxwell-rheological model, which unifies the fractal creep equation and relaxation equation...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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VINCA Institute of Nuclear Sciences
2021-01-01
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| Series: | Thermal Science |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100015L.pdf |
| Summary: | This paper proposes a fractal viscoelastic element via He’s fractal derivative, its properties are analyzed in details by the two-scale transform for the first time. The element is used to establish a fractal Maxwell-rheological model, which unifies the fractal creep equation and relaxation equation, and includes the classic elastic model and the classical Maxwell-rheological model as two special cases. This paper sheds a bright light on viscoelasticity, and the model can find wide applications in rock mechanics, plastic mechanics, and non-continuum mechanics. |
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| ISSN: | 0354-9836 2334-7163 |