Solution of Extended Kelvin-Voigt Model
The great usefulness of uniaxial visco-elastic models, especially in highway engineering pavement theory, composites and other civil engineering disciplines were the reason for undertaking the trial to find a complete solution for the generalization of Kelvin-Voigt body. Here the elements of higher...
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| Format: | Article |
| Language: | English |
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Lublin University of Technology
2012-06-01
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| Series: | Budownictwo i Architektura |
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| Online Access: | https://ph.pollub.pl/index.php/bia/article/view/2235 |
| _version_ | 1827334209358790656 |
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| author | Sławomir Karaś |
| author_facet | Sławomir Karaś |
| author_sort | Sławomir Karaś |
| collection | DOAJ |
| description | The great usefulness of uniaxial visco-elastic models, especially in highway engineering pavement theory, composites and other civil engineering disciplines were the reason for undertaking the trial to find a complete solution for the generalization of Kelvin-Voigt body. Here the elements of higher rank than velocities of strain and stress are considered. Carson’s transformation simultaneously with residuum theorem are used for solutions derivation. The introduced procedure can be also used for more complicated differential or integral forms of constitutive equations, as well as for non homogenous initial conditions. The Burgers’ body is examined. Finally, as an example the vibration of simple beam is shown. |
| first_indexed | 2024-03-07T17:50:00Z |
| format | Article |
| id | doaj.art-9555676279404f49b6d8cb2d2c1518c2 |
| institution | Directory Open Access Journal |
| issn | 1899-0665 2544-3275 |
| language | English |
| last_indexed | 2024-03-07T17:50:00Z |
| publishDate | 2012-06-01 |
| publisher | Lublin University of Technology |
| record_format | Article |
| series | Budownictwo i Architektura |
| spelling | doaj.art-9555676279404f49b6d8cb2d2c1518c22024-03-02T14:16:03ZengLublin University of TechnologyBudownictwo i Architektura1899-06652544-32752012-06-0110110.35784/bud-arch.2235Solution of Extended Kelvin-Voigt ModelSławomir Karaś0Road and Bridge Chair; Faculty of Civil Engineering and Architecture; Lublin University of TechnologyThe great usefulness of uniaxial visco-elastic models, especially in highway engineering pavement theory, composites and other civil engineering disciplines were the reason for undertaking the trial to find a complete solution for the generalization of Kelvin-Voigt body. Here the elements of higher rank than velocities of strain and stress are considered. Carson’s transformation simultaneously with residuum theorem are used for solutions derivation. The introduced procedure can be also used for more complicated differential or integral forms of constitutive equations, as well as for non homogenous initial conditions. The Burgers’ body is examined. Finally, as an example the vibration of simple beam is shown.https://ph.pollub.pl/index.php/bia/article/view/2235rheologyvisco-elasticitymodels |
| spellingShingle | Sławomir Karaś Solution of Extended Kelvin-Voigt Model Budownictwo i Architektura rheology visco-elasticity models |
| title | Solution of Extended Kelvin-Voigt Model |
| title_full | Solution of Extended Kelvin-Voigt Model |
| title_fullStr | Solution of Extended Kelvin-Voigt Model |
| title_full_unstemmed | Solution of Extended Kelvin-Voigt Model |
| title_short | Solution of Extended Kelvin-Voigt Model |
| title_sort | solution of extended kelvin voigt model |
| topic | rheology visco-elasticity models |
| url | https://ph.pollub.pl/index.php/bia/article/view/2235 |
| work_keys_str_mv | AT sławomirkaras solutionofextendedkelvinvoigtmodel |