Higher Order Terms in Extended Thermodynamics
Extended Thermodynamics is an elegant and powerful material theory which yields, when applied, a symmetric hyperbolic system of evolution equations for the independent field variables. This system is obtained by imposing general physical principles, such as that of material objectivity and the entro...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Pennisi, S. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1998 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 1998 |
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| Übergeordnetes Werk: |
Enthalten in: Continuum mechanics and thermodynamics - Springer-Verlag, 1989, 10(1998), 1 vom: Feb., Seite 29-48 |
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| Übergeordnetes Werk: |
volume:10 ; year:1998 ; number:1 ; month:02 ; pages:29-48 |
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10.1007/s001610050079 |
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| 520 | |a Extended Thermodynamics is an elegant and powerful material theory which yields, when applied, a symmetric hyperbolic system of evolution equations for the independent field variables. This system is obtained by imposing general physical principles, such as that of material objectivity and the entropy principle. With respect to thermodynamic equilibrium, the latter is carried through to second order. However, the following question arises: If this principle is imposed to even higher order terms, could it then yield restrictions also on the lower order terms, beyond those previously obtained in the literature? In this paper the entropy principle is applied to fourth order so that constitutive functions up to this order are obtained. In the process of computations many complicated equations involving only the lower order terms are deduced, which must be satisfied as identities. These equations, after long and tedious calculations, turn indeed out to be identically satisfied. This fact cannot be casual, thus confirming that this theory is trustworthy. | ||
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10.1007/s001610050079 doi (DE-627)OLC207382482X (DE-He213)s001610050079-p DE-627 ger DE-627 rakwb eng 530 VZ Pennisi, S. verfasserin aut Higher Order Terms in Extended Thermodynamics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1998 Extended Thermodynamics is an elegant and powerful material theory which yields, when applied, a symmetric hyperbolic system of evolution equations for the independent field variables. This system is obtained by imposing general physical principles, such as that of material objectivity and the entropy principle. With respect to thermodynamic equilibrium, the latter is carried through to second order. However, the following question arises: If this principle is imposed to even higher order terms, could it then yield restrictions also on the lower order terms, beyond those previously obtained in the literature? In this paper the entropy principle is applied to fourth order so that constitutive functions up to this order are obtained. In the process of computations many complicated equations involving only the lower order terms are deduced, which must be satisfied as identities. These equations, after long and tedious calculations, turn indeed out to be identically satisfied. This fact cannot be casual, thus confirming that this theory is trustworthy. Order Term Thermodynamic Equilibrium Fourth Order High Order Term Field Variable Enthalten in Continuum mechanics and thermodynamics Springer-Verlag, 1989 10(1998), 1 vom: Feb., Seite 29-48 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:10 year:1998 number:1 month:02 pages:29-48 https://doi.org/10.1007/s001610050079 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4319 GBV_ILN_4700 AR 10 1998 1 02 29-48 |
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10.1007/s001610050079 doi (DE-627)OLC207382482X (DE-He213)s001610050079-p DE-627 ger DE-627 rakwb eng 530 VZ Pennisi, S. verfasserin aut Higher Order Terms in Extended Thermodynamics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1998 Extended Thermodynamics is an elegant and powerful material theory which yields, when applied, a symmetric hyperbolic system of evolution equations for the independent field variables. This system is obtained by imposing general physical principles, such as that of material objectivity and the entropy principle. With respect to thermodynamic equilibrium, the latter is carried through to second order. However, the following question arises: If this principle is imposed to even higher order terms, could it then yield restrictions also on the lower order terms, beyond those previously obtained in the literature? In this paper the entropy principle is applied to fourth order so that constitutive functions up to this order are obtained. In the process of computations many complicated equations involving only the lower order terms are deduced, which must be satisfied as identities. These equations, after long and tedious calculations, turn indeed out to be identically satisfied. This fact cannot be casual, thus confirming that this theory is trustworthy. Order Term Thermodynamic Equilibrium Fourth Order High Order Term Field Variable Enthalten in Continuum mechanics and thermodynamics Springer-Verlag, 1989 10(1998), 1 vom: Feb., Seite 29-48 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:10 year:1998 number:1 month:02 pages:29-48 https://doi.org/10.1007/s001610050079 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4319 GBV_ILN_4700 AR 10 1998 1 02 29-48 |
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10.1007/s001610050079 doi (DE-627)OLC207382482X (DE-He213)s001610050079-p DE-627 ger DE-627 rakwb eng 530 VZ Pennisi, S. verfasserin aut Higher Order Terms in Extended Thermodynamics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1998 Extended Thermodynamics is an elegant and powerful material theory which yields, when applied, a symmetric hyperbolic system of evolution equations for the independent field variables. This system is obtained by imposing general physical principles, such as that of material objectivity and the entropy principle. With respect to thermodynamic equilibrium, the latter is carried through to second order. However, the following question arises: If this principle is imposed to even higher order terms, could it then yield restrictions also on the lower order terms, beyond those previously obtained in the literature? In this paper the entropy principle is applied to fourth order so that constitutive functions up to this order are obtained. In the process of computations many complicated equations involving only the lower order terms are deduced, which must be satisfied as identities. These equations, after long and tedious calculations, turn indeed out to be identically satisfied. This fact cannot be casual, thus confirming that this theory is trustworthy. Order Term Thermodynamic Equilibrium Fourth Order High Order Term Field Variable Enthalten in Continuum mechanics and thermodynamics Springer-Verlag, 1989 10(1998), 1 vom: Feb., Seite 29-48 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:10 year:1998 number:1 month:02 pages:29-48 https://doi.org/10.1007/s001610050079 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4319 GBV_ILN_4700 AR 10 1998 1 02 29-48 |
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10.1007/s001610050079 doi (DE-627)OLC207382482X (DE-He213)s001610050079-p DE-627 ger DE-627 rakwb eng 530 VZ Pennisi, S. verfasserin aut Higher Order Terms in Extended Thermodynamics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1998 Extended Thermodynamics is an elegant and powerful material theory which yields, when applied, a symmetric hyperbolic system of evolution equations for the independent field variables. This system is obtained by imposing general physical principles, such as that of material objectivity and the entropy principle. With respect to thermodynamic equilibrium, the latter is carried through to second order. However, the following question arises: If this principle is imposed to even higher order terms, could it then yield restrictions also on the lower order terms, beyond those previously obtained in the literature? In this paper the entropy principle is applied to fourth order so that constitutive functions up to this order are obtained. In the process of computations many complicated equations involving only the lower order terms are deduced, which must be satisfied as identities. These equations, after long and tedious calculations, turn indeed out to be identically satisfied. This fact cannot be casual, thus confirming that this theory is trustworthy. Order Term Thermodynamic Equilibrium Fourth Order High Order Term Field Variable Enthalten in Continuum mechanics and thermodynamics Springer-Verlag, 1989 10(1998), 1 vom: Feb., Seite 29-48 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:10 year:1998 number:1 month:02 pages:29-48 https://doi.org/10.1007/s001610050079 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4319 GBV_ILN_4700 AR 10 1998 1 02 29-48 |
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10.1007/s001610050079 doi (DE-627)OLC207382482X (DE-He213)s001610050079-p DE-627 ger DE-627 rakwb eng 530 VZ Pennisi, S. verfasserin aut Higher Order Terms in Extended Thermodynamics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1998 Extended Thermodynamics is an elegant and powerful material theory which yields, when applied, a symmetric hyperbolic system of evolution equations for the independent field variables. This system is obtained by imposing general physical principles, such as that of material objectivity and the entropy principle. With respect to thermodynamic equilibrium, the latter is carried through to second order. However, the following question arises: If this principle is imposed to even higher order terms, could it then yield restrictions also on the lower order terms, beyond those previously obtained in the literature? In this paper the entropy principle is applied to fourth order so that constitutive functions up to this order are obtained. In the process of computations many complicated equations involving only the lower order terms are deduced, which must be satisfied as identities. These equations, after long and tedious calculations, turn indeed out to be identically satisfied. This fact cannot be casual, thus confirming that this theory is trustworthy. Order Term Thermodynamic Equilibrium Fourth Order High Order Term Field Variable Enthalten in Continuum mechanics and thermodynamics Springer-Verlag, 1989 10(1998), 1 vom: Feb., Seite 29-48 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:10 year:1998 number:1 month:02 pages:29-48 https://doi.org/10.1007/s001610050079 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4319 GBV_ILN_4700 AR 10 1998 1 02 29-48 |
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Extended Thermodynamics is an elegant and powerful material theory which yields, when applied, a symmetric hyperbolic system of evolution equations for the independent field variables. This system is obtained by imposing general physical principles, such as that of material objectivity and the entropy principle. With respect to thermodynamic equilibrium, the latter is carried through to second order. However, the following question arises: If this principle is imposed to even higher order terms, could it then yield restrictions also on the lower order terms, beyond those previously obtained in the literature? In this paper the entropy principle is applied to fourth order so that constitutive functions up to this order are obtained. In the process of computations many complicated equations involving only the lower order terms are deduced, which must be satisfied as identities. These equations, after long and tedious calculations, turn indeed out to be identically satisfied. This fact cannot be casual, thus confirming that this theory is trustworthy. © Springer-Verlag Berlin Heidelberg 1998 |
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Extended Thermodynamics is an elegant and powerful material theory which yields, when applied, a symmetric hyperbolic system of evolution equations for the independent field variables. This system is obtained by imposing general physical principles, such as that of material objectivity and the entropy principle. With respect to thermodynamic equilibrium, the latter is carried through to second order. However, the following question arises: If this principle is imposed to even higher order terms, could it then yield restrictions also on the lower order terms, beyond those previously obtained in the literature? In this paper the entropy principle is applied to fourth order so that constitutive functions up to this order are obtained. In the process of computations many complicated equations involving only the lower order terms are deduced, which must be satisfied as identities. These equations, after long and tedious calculations, turn indeed out to be identically satisfied. This fact cannot be casual, thus confirming that this theory is trustworthy. © Springer-Verlag Berlin Heidelberg 1998 |
| abstract_unstemmed |
Extended Thermodynamics is an elegant and powerful material theory which yields, when applied, a symmetric hyperbolic system of evolution equations for the independent field variables. This system is obtained by imposing general physical principles, such as that of material objectivity and the entropy principle. With respect to thermodynamic equilibrium, the latter is carried through to second order. However, the following question arises: If this principle is imposed to even higher order terms, could it then yield restrictions also on the lower order terms, beyond those previously obtained in the literature? In this paper the entropy principle is applied to fourth order so that constitutive functions up to this order are obtained. In the process of computations many complicated equations involving only the lower order terms are deduced, which must be satisfied as identities. These equations, after long and tedious calculations, turn indeed out to be identically satisfied. This fact cannot be casual, thus confirming that this theory is trustworthy. © Springer-Verlag Berlin Heidelberg 1998 |
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Higher Order Terms in Extended Thermodynamics |
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