Unified Analysis of Viscoelasticity and Viscoplasticity Using the Onsager Variational Principle
This study is the application of the Onsager variational principle to viscoelasticity and viscoplasticity with the minimization of the assumptions which are popularly used in conventional approaches. The conventional approaches assume Kröner–Lee decomposition, incompressible plastic deformation, flo...
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MDPI AG
2025-01-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/27/1/55 |
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| author | Kwang Soo Cho |
| author_facet | Kwang Soo Cho |
| author_sort | Kwang Soo Cho |
| collection | DOAJ |
| description | This study is the application of the Onsager variational principle to viscoelasticity and viscoplasticity with the minimization of the assumptions which are popularly used in conventional approaches. The conventional approaches assume Kröner–Lee decomposition, incompressible plastic deformation, flowing rule, stress equation and so on. These assumptions have been accumulated by many researchers for a long time and have shown many successful cases. The large number of successful assumptions leads to the conjecture that the mechanics can be described with a smaller number of assumptions. This paper shows that this conjecture is correct by using the Onsager variational principle. |
| format | Article |
| id | doaj-art-b4920e853fca4d9d9f221bf06f13a3de |
| institution | Kabale University |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-b4920e853fca4d9d9f221bf06f13a3de2025-01-24T13:31:50ZengMDPI AGEntropy1099-43002025-01-012715510.3390/e27010055Unified Analysis of Viscoelasticity and Viscoplasticity Using the Onsager Variational PrincipleKwang Soo Cho0Department of Polymer Science and Engineering, Kyungpook National University, Daegu 41566, Republic of KoreaThis study is the application of the Onsager variational principle to viscoelasticity and viscoplasticity with the minimization of the assumptions which are popularly used in conventional approaches. The conventional approaches assume Kröner–Lee decomposition, incompressible plastic deformation, flowing rule, stress equation and so on. These assumptions have been accumulated by many researchers for a long time and have shown many successful cases. The large number of successful assumptions leads to the conjecture that the mechanics can be described with a smaller number of assumptions. This paper shows that this conjecture is correct by using the Onsager variational principle.https://www.mdpi.com/1099-4300/27/1/55Onsager variational principleviscoelasticityviscoplasticityconstitutive equationinternal variable |
| spellingShingle | Kwang Soo Cho Unified Analysis of Viscoelasticity and Viscoplasticity Using the Onsager Variational Principle Entropy Onsager variational principle viscoelasticity viscoplasticity constitutive equation internal variable |
| title | Unified Analysis of Viscoelasticity and Viscoplasticity Using the Onsager Variational Principle |
| title_full | Unified Analysis of Viscoelasticity and Viscoplasticity Using the Onsager Variational Principle |
| title_fullStr | Unified Analysis of Viscoelasticity and Viscoplasticity Using the Onsager Variational Principle |
| title_full_unstemmed | Unified Analysis of Viscoelasticity and Viscoplasticity Using the Onsager Variational Principle |
| title_short | Unified Analysis of Viscoelasticity and Viscoplasticity Using the Onsager Variational Principle |
| title_sort | unified analysis of viscoelasticity and viscoplasticity using the onsager variational principle |
| topic | Onsager variational principle viscoelasticity viscoplasticity constitutive equation internal variable |
| url | https://www.mdpi.com/1099-4300/27/1/55 |
| work_keys_str_mv | AT kwangsoocho unifiedanalysisofviscoelasticityandviscoplasticityusingtheonsagervariationalprinciple |