Techniques for the Thermodynamic Consistency of Constitutive Equations
The paper investigates the techniques associated with the exploitation of the second law of thermodynamics as a restriction on the physically admissible processes. Though the exploitation consists of the use of the arbitrariness occurring in the Clausius–Duhem inequality, the approach emphasizes two...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Thermo |
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| Online Access: | https://www.mdpi.com/2673-7264/3/2/16 |
| _version_ | 1797592494618181632 |
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| author | Angelo Morro Claudio Giorgi |
| author_facet | Angelo Morro Claudio Giorgi |
| author_sort | Angelo Morro |
| collection | DOAJ |
| description | The paper investigates the techniques associated with the exploitation of the second law of thermodynamics as a restriction on the physically admissible processes. Though the exploitation consists of the use of the arbitrariness occurring in the Clausius–Duhem inequality, the approach emphasizes two uncommon features within the thermodynamic analysis: the representation formula, of vectors and tensors, and the entropy production. The representation is shown to be fruitful whenever more terms of the Clausius–Duhem inequality are not independent. Among the examples developed to show this feature, the paper yields the constitutive equation for hypo-elastic solids and for Maxwell–Cattaneo-like equations of heat conduction. The entropy production is assumed to be given by a constitutive function per se and not merely the expression inherited by the other constitutive functions. This feature results in more general expressions of the representation formulae and is crucial for the compact description of hysteretic phenomena. |
| first_indexed | 2024-03-11T01:51:55Z |
| format | Article |
| id | doaj.art-431245a406194f2fa6e453e20edade4c |
| institution | Directory Open Access Journal |
| issn | 2673-7264 |
| language | English |
| last_indexed | 2024-03-11T01:51:55Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Thermo |
| spelling | doaj.art-431245a406194f2fa6e453e20edade4c2023-11-18T12:53:32ZengMDPI AGThermo2673-72642023-05-013226027610.3390/thermo3020016Techniques for the Thermodynamic Consistency of Constitutive EquationsAngelo Morro0Claudio Giorgi1Dipartimento di Informatica, Bioingegneria, Robotica e Ingegneria dei Sistemi, Università di Genova, Via All’Opera Pia 13, 16145 Genova, ItalyDipartimento di Ingegneria Civile Ambiente Territorio Architettura e Matematica, Università di Brescia, Via Valotti 9, 25133 Brescia, ItalyThe paper investigates the techniques associated with the exploitation of the second law of thermodynamics as a restriction on the physically admissible processes. Though the exploitation consists of the use of the arbitrariness occurring in the Clausius–Duhem inequality, the approach emphasizes two uncommon features within the thermodynamic analysis: the representation formula, of vectors and tensors, and the entropy production. The representation is shown to be fruitful whenever more terms of the Clausius–Duhem inequality are not independent. Among the examples developed to show this feature, the paper yields the constitutive equation for hypo-elastic solids and for Maxwell–Cattaneo-like equations of heat conduction. The entropy production is assumed to be given by a constitutive function per se and not merely the expression inherited by the other constitutive functions. This feature results in more general expressions of the representation formulae and is crucial for the compact description of hysteretic phenomena.https://www.mdpi.com/2673-7264/3/2/16thermodynamic consistencyconstitutive equationsexploitation of the second lawrate equations |
| spellingShingle | Angelo Morro Claudio Giorgi Techniques for the Thermodynamic Consistency of Constitutive Equations Thermo thermodynamic consistency constitutive equations exploitation of the second law rate equations |
| title | Techniques for the Thermodynamic Consistency of Constitutive Equations |
| title_full | Techniques for the Thermodynamic Consistency of Constitutive Equations |
| title_fullStr | Techniques for the Thermodynamic Consistency of Constitutive Equations |
| title_full_unstemmed | Techniques for the Thermodynamic Consistency of Constitutive Equations |
| title_short | Techniques for the Thermodynamic Consistency of Constitutive Equations |
| title_sort | techniques for the thermodynamic consistency of constitutive equations |
| topic | thermodynamic consistency constitutive equations exploitation of the second law rate equations |
| url | https://www.mdpi.com/2673-7264/3/2/16 |
| work_keys_str_mv | AT angelomorro techniquesforthethermodynamicconsistencyofconstitutiveequations AT claudiogiorgi techniquesforthethermodynamicconsistencyofconstitutiveequations |