A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity
An introductory discussion on a (weakly non-local) gradient generalization of some one-dimensional elastic and viscoelastic models, and their fractional extension is provided. Emphasis is placed on the possible implications of micro- and nano- engineering problems, including small-scale structural m...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/2/84 |
| _version_ | 1797480049515954176 |
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| author | Kostas Parisis Vlasis Dimosthenis Leonidas Kouris Avraam Konstantinidis Elias C. Aifantis |
| author_facet | Kostas Parisis Vlasis Dimosthenis Leonidas Kouris Avraam Konstantinidis Elias C. Aifantis |
| author_sort | Kostas Parisis |
| collection | DOAJ |
| description | An introductory discussion on a (weakly non-local) gradient generalization of some one-dimensional elastic and viscoelastic models, and their fractional extension is provided. Emphasis is placed on the possible implications of micro- and nano- engineering problems, including small-scale structural mechanics and composite materials, as well as collagen biomechanics and nanomaterials. |
| first_indexed | 2024-03-09T21:55:31Z |
| format | Article |
| id | doaj.art-31158a649f58487db5a53c84864da47d |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T21:55:31Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-31158a649f58487db5a53c84864da47d2023-11-23T19:58:57ZengMDPI AGFractal and Fractional2504-31102022-02-01628410.3390/fractalfract6020084A Note on Gradient/Fractional One-Dimensional Elasticity and ViscoelasticityKostas Parisis0Vlasis Dimosthenis1Leonidas Kouris2Avraam Konstantinidis3Elias C. Aifantis4Aristotle University of Thessaloniki, GR-54124 Thessaloniki, GreeceAristotle University of Thessaloniki, GR-54124 Thessaloniki, GreeceAristotle University of Thessaloniki, GR-54124 Thessaloniki, GreeceAristotle University of Thessaloniki, GR-54124 Thessaloniki, GreeceAristotle University of Thessaloniki, GR-54124 Thessaloniki, GreeceAn introductory discussion on a (weakly non-local) gradient generalization of some one-dimensional elastic and viscoelastic models, and their fractional extension is provided. Emphasis is placed on the possible implications of micro- and nano- engineering problems, including small-scale structural mechanics and composite materials, as well as collagen biomechanics and nanomaterials.https://www.mdpi.com/2504-3110/6/2/84gradient elasticity/GradElafractional elasticitygradient viscoelasticityfractional viscoelasticityfractional Kelvin–Voigt model |
| spellingShingle | Kostas Parisis Vlasis Dimosthenis Leonidas Kouris Avraam Konstantinidis Elias C. Aifantis A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity Fractal and Fractional gradient elasticity/GradEla fractional elasticity gradient viscoelasticity fractional viscoelasticity fractional Kelvin–Voigt model |
| title | A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity |
| title_full | A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity |
| title_fullStr | A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity |
| title_full_unstemmed | A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity |
| title_short | A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity |
| title_sort | note on gradient fractional one dimensional elasticity and viscoelasticity |
| topic | gradient elasticity/GradEla fractional elasticity gradient viscoelasticity fractional viscoelasticity fractional Kelvin–Voigt model |
| url | https://www.mdpi.com/2504-3110/6/2/84 |
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