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...
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Autor*in:	Angelo Morro [verfasserIn] Claudio Giorgi [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	thermodynamic consistency constitutive equations exploitation of the second law rate equations

Übergeordnetes Werk:	In: Thermo - MDPI AG, 2021, 3(2023), 2, Seite 260-276
Übergeordnetes Werk:	volume:3 ; year:2023 ; number:2 ; pages:260-276

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/thermo3020016

Katalog-ID:	DOAJ094048746

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spelling	10.3390/thermo3020016 doi (DE-627)DOAJ094048746 (DE-599)DOAJ431245a406194f2fa6e453e20edade4c DE-627 ger DE-627 rakwb eng QC310.15-319 Angelo Morro verfasserin aut Techniques for the Thermodynamic Consistency of Constitutive Equations 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. thermodynamic consistency constitutive equations exploitation of the second law rate equations Thermodynamics Claudio Giorgi verfasserin aut In Thermo MDPI AG, 2021 3(2023), 2, Seite 260-276 (DE-627)1768279551 26737264 nnns volume:3 year:2023 number:2 pages:260-276 https://doi.org/10.3390/thermo3020016 kostenfrei https://doaj.org/article/431245a406194f2fa6e453e20edade4c kostenfrei https://www.mdpi.com/2673-7264/3/2/16 kostenfrei https://doaj.org/toc/2673-7264 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 3 2023 2 260-276
allfields_unstemmed	10.3390/thermo3020016 doi (DE-627)DOAJ094048746 (DE-599)DOAJ431245a406194f2fa6e453e20edade4c DE-627 ger DE-627 rakwb eng QC310.15-319 Angelo Morro verfasserin aut Techniques for the Thermodynamic Consistency of Constitutive Equations 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. thermodynamic consistency constitutive equations exploitation of the second law rate equations Thermodynamics Claudio Giorgi verfasserin aut In Thermo MDPI AG, 2021 3(2023), 2, Seite 260-276 (DE-627)1768279551 26737264 nnns volume:3 year:2023 number:2 pages:260-276 https://doi.org/10.3390/thermo3020016 kostenfrei https://doaj.org/article/431245a406194f2fa6e453e20edade4c kostenfrei https://www.mdpi.com/2673-7264/3/2/16 kostenfrei https://doaj.org/toc/2673-7264 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 3 2023 2 260-276
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allfieldsSound	10.3390/thermo3020016 doi (DE-627)DOAJ094048746 (DE-599)DOAJ431245a406194f2fa6e453e20edade4c DE-627 ger DE-627 rakwb eng QC310.15-319 Angelo Morro verfasserin aut Techniques for the Thermodynamic Consistency of Constitutive Equations 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. thermodynamic consistency constitutive equations exploitation of the second law rate equations Thermodynamics Claudio Giorgi verfasserin aut In Thermo MDPI AG, 2021 3(2023), 2, Seite 260-276 (DE-627)1768279551 26737264 nnns volume:3 year:2023 number:2 pages:260-276 https://doi.org/10.3390/thermo3020016 kostenfrei https://doaj.org/article/431245a406194f2fa6e453e20edade4c kostenfrei https://www.mdpi.com/2673-7264/3/2/16 kostenfrei https://doaj.org/toc/2673-7264 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 3 2023 2 260-276
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source	In Thermo 3(2023), 2, Seite 260-276 volume:3 year:2023 number:2 pages:260-276
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topic_facet	thermodynamic consistency constitutive equations exploitation of the second law rate equations Thermodynamics
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authorswithroles_txt_mv	Angelo Morro @@aut@@ Claudio Giorgi @@aut@@
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callnumber-first	Q - Science
author	Angelo Morro
spellingShingle	Angelo Morro misc QC310.15-319 misc thermodynamic consistency misc constitutive equations misc exploitation of the second law misc rate equations misc Thermodynamics Techniques for the Thermodynamic Consistency of Constitutive Equations
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topic_title	QC310.15-319 Techniques for the Thermodynamic Consistency of Constitutive Equations thermodynamic consistency constitutive equations exploitation of the second law rate equations
topic	misc QC310.15-319 misc thermodynamic consistency misc constitutive equations misc exploitation of the second law misc rate equations misc Thermodynamics
topic_unstemmed	misc QC310.15-319 misc thermodynamic consistency misc constitutive equations misc exploitation of the second law misc rate equations misc Thermodynamics
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title	Techniques for the Thermodynamic Consistency of Constitutive Equations
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title_sort	techniques for the thermodynamic consistency of constitutive equations
callnumber	QC310.15-319
title_auth	Techniques for the Thermodynamic Consistency of Constitutive Equations
abstract	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.
abstractGer	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.
abstract_unstemmed	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.
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