On some qualitative results in thermodynamics of Cosserat bodies
Abstract This paper deals with the linear theory of thermoelastic Cosserat bodies. At the beginning, we formulate the mixed initial-boundary value problem in this context and obtain new theorems of reciprocity in the thermodynamics theory of these media. Then we prove that these new reciprocity rela...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-09-01
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| Series: | Boundary Value Problems |
| Online Access: | https://doi.org/10.1186/s13661-022-01652-8 |
| _version_ | 1811253599584387072 |
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| author | Marin Marin Iana M. Fudulu Sorin Vlase |
| author_facet | Marin Marin Iana M. Fudulu Sorin Vlase |
| author_sort | Marin Marin |
| collection | DOAJ |
| description | Abstract This paper deals with the linear theory of thermoelastic Cosserat bodies. At the beginning, we formulate the mixed initial-boundary value problem in this context and obtain new theorems of reciprocity in the thermodynamics theory of these media. Then we prove that these new reciprocity relations imply the uniqueness of solution of the mixed problem. Based on the same reciprocal relations, we establish a minimum variational principle, which generalizes those from the theory of classical thermoelasticity. |
| first_indexed | 2024-04-12T16:53:32Z |
| format | Article |
| id | doaj.art-2124afa16df245559bdbb82359789511 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-12T16:53:32Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-2124afa16df245559bdbb823597895112022-12-22T03:24:19ZengSpringerOpenBoundary Value Problems1687-27702022-09-012022111510.1186/s13661-022-01652-8On some qualitative results in thermodynamics of Cosserat bodiesMarin Marin0Iana M. Fudulu1Sorin Vlase2Department of Mathematics and Computer Science, Transilvania University of BrasovDepartment of Mathematics and Computer Science, Transilvania University of BrasovDepartment of Mechanical Engineering, Transilvania University of BrasovAbstract This paper deals with the linear theory of thermoelastic Cosserat bodies. At the beginning, we formulate the mixed initial-boundary value problem in this context and obtain new theorems of reciprocity in the thermodynamics theory of these media. Then we prove that these new reciprocity relations imply the uniqueness of solution of the mixed problem. Based on the same reciprocal relations, we establish a minimum variational principle, which generalizes those from the theory of classical thermoelasticity.https://doi.org/10.1186/s13661-022-01652-8 |
| spellingShingle | Marin Marin Iana M. Fudulu Sorin Vlase On some qualitative results in thermodynamics of Cosserat bodies Boundary Value Problems |
| title | On some qualitative results in thermodynamics of Cosserat bodies |
| title_full | On some qualitative results in thermodynamics of Cosserat bodies |
| title_fullStr | On some qualitative results in thermodynamics of Cosserat bodies |
| title_full_unstemmed | On some qualitative results in thermodynamics of Cosserat bodies |
| title_short | On some qualitative results in thermodynamics of Cosserat bodies |
| title_sort | on some qualitative results in thermodynamics of cosserat bodies |
| url | https://doi.org/10.1186/s13661-022-01652-8 |
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