Fractional Generalizations of Maxwell and Kelvin-Voigt Models for Biopolymer Characterization.
The paper proposes a fractional generalization of the Maxwell and Kelvin-Voigt rheological models for a description of dynamic behavior of biopolymer materials. It was found that the rheological models of Maxwell-type do not work in the case of modeling of viscoelastic solids, and the model which si...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2015-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC4658031?pdf=render |
| _version_ | 1818036560347529216 |
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| author | Bertrand Jóźwiak Magdalena Orczykowska Marek Dziubiński |
| author_facet | Bertrand Jóźwiak Magdalena Orczykowska Marek Dziubiński |
| author_sort | Bertrand Jóźwiak |
| collection | DOAJ |
| description | The paper proposes a fractional generalization of the Maxwell and Kelvin-Voigt rheological models for a description of dynamic behavior of biopolymer materials. It was found that the rheological models of Maxwell-type do not work in the case of modeling of viscoelastic solids, and the model which significantly better describes the nature of changes in rheological properties of such media is the modified fractional Kelvin-Voigt model with two built-in springpots (MFKVM2). The proposed model was used to describe the experimental data from the oscillatory and creep tests of 3% (w/v) kuzu starch pastes, and to determine the values of their rheological parameters as a function of pasting time. These parameters provide a lot of additional information about structure and viscoelastic properties of the medium in comparison to the classical analysis of dynamic curves G' and G" and shear creep compliance J(t). It allowed for a comprehensive description of a wide range of properties of kuzu starch pastes, depending on the conditions of pasting process. |
| first_indexed | 2024-12-10T07:12:53Z |
| format | Article |
| id | doaj.art-0f9b820a55e7461a9ec6c59e9a468a09 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-10T07:12:53Z |
| publishDate | 2015-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-0f9b820a55e7461a9ec6c59e9a468a092022-12-22T01:58:00ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-011011e014309010.1371/journal.pone.0143090Fractional Generalizations of Maxwell and Kelvin-Voigt Models for Biopolymer Characterization.Bertrand JóźwiakMagdalena OrczykowskaMarek DziubińskiThe paper proposes a fractional generalization of the Maxwell and Kelvin-Voigt rheological models for a description of dynamic behavior of biopolymer materials. It was found that the rheological models of Maxwell-type do not work in the case of modeling of viscoelastic solids, and the model which significantly better describes the nature of changes in rheological properties of such media is the modified fractional Kelvin-Voigt model with two built-in springpots (MFKVM2). The proposed model was used to describe the experimental data from the oscillatory and creep tests of 3% (w/v) kuzu starch pastes, and to determine the values of their rheological parameters as a function of pasting time. These parameters provide a lot of additional information about structure and viscoelastic properties of the medium in comparison to the classical analysis of dynamic curves G' and G" and shear creep compliance J(t). It allowed for a comprehensive description of a wide range of properties of kuzu starch pastes, depending on the conditions of pasting process.http://europepmc.org/articles/PMC4658031?pdf=render |
| spellingShingle | Bertrand Jóźwiak Magdalena Orczykowska Marek Dziubiński Fractional Generalizations of Maxwell and Kelvin-Voigt Models for Biopolymer Characterization. PLoS ONE |
| title | Fractional Generalizations of Maxwell and Kelvin-Voigt Models for Biopolymer Characterization. |
| title_full | Fractional Generalizations of Maxwell and Kelvin-Voigt Models for Biopolymer Characterization. |
| title_fullStr | Fractional Generalizations of Maxwell and Kelvin-Voigt Models for Biopolymer Characterization. |
| title_full_unstemmed | Fractional Generalizations of Maxwell and Kelvin-Voigt Models for Biopolymer Characterization. |
| title_short | Fractional Generalizations of Maxwell and Kelvin-Voigt Models for Biopolymer Characterization. |
| title_sort | fractional generalizations of maxwell and kelvin voigt models for biopolymer characterization |
| url | http://europepmc.org/articles/PMC4658031?pdf=render |
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