Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods
We discuss thermodynamical restrictions for a linear constitutive equation containing fractional derivatives of stress and strain of different orders. Such an equation generalizes several known models. The restrictions on coefficients are derived by using entropy inequality for isothermal processes....
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/975694 |
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| _version_ | 1832567839344558080 |
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| author | Teodor M. Atanacković Sanja Konjik Ljubica Oparnica Dušan Zorica |
| author_facet | Teodor M. Atanacković Sanja Konjik Ljubica Oparnica Dušan Zorica |
| author_sort | Teodor M. Atanacković |
| collection | DOAJ |
| description | We discuss thermodynamical restrictions for a linear constitutive equation containing fractional derivatives of stress and strain of different orders. Such an equation generalizes several known models. The restrictions on coefficients are derived by using entropy inequality for isothermal processes. In addition, we study waves in a rod of finite length modelled by a linear fractional constitutive equation. In particular, we examine stress relaxation and creep and compare results with the quasistatic analysis. |
| format | Article |
| id | doaj-art-fc3df318967f479686ddffc580cf7e7b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-fc3df318967f479686ddffc580cf7e7b2025-02-03T01:00:27ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/975694975694Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic RodsTeodor M. Atanacković0Sanja Konjik1Ljubica Oparnica2Dušan Zorica3Faculty of Technical Sciences, Institute of Mechanics, University of Novi Sad, Trg D. Obradovića 6, 21000 Novi Sad, SerbiaDepartment of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, SerbiaFaculty of Education, University of Novi Sad, Podgorička 4, 25000 Sombor, SerbiaInstitute of Mathematics, SANU, Kneza Mihaila 35, 11000 Belgrade, SerbiaWe discuss thermodynamical restrictions for a linear constitutive equation containing fractional derivatives of stress and strain of different orders. Such an equation generalizes several known models. The restrictions on coefficients are derived by using entropy inequality for isothermal processes. In addition, we study waves in a rod of finite length modelled by a linear fractional constitutive equation. In particular, we examine stress relaxation and creep and compare results with the quasistatic analysis.http://dx.doi.org/10.1155/2011/975694 |
| spellingShingle | Teodor M. Atanacković Sanja Konjik Ljubica Oparnica Dušan Zorica Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods Abstract and Applied Analysis |
| title | Thermodynamical Restrictions and Wave Propagation for a Class of
Fractional Order Viscoelastic Rods |
| title_full | Thermodynamical Restrictions and Wave Propagation for a Class of
Fractional Order Viscoelastic Rods |
| title_fullStr | Thermodynamical Restrictions and Wave Propagation for a Class of
Fractional Order Viscoelastic Rods |
| title_full_unstemmed | Thermodynamical Restrictions and Wave Propagation for a Class of
Fractional Order Viscoelastic Rods |
| title_short | Thermodynamical Restrictions and Wave Propagation for a Class of
Fractional Order Viscoelastic Rods |
| title_sort | thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods |
| url | http://dx.doi.org/10.1155/2011/975694 |
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