Closed system of coupling effects in generalized thermo-elastoplasticity
In this paper, the field equations of the generalized coupled thermoplasticity theory are derived using the postulates of classical thermodynamics of irreversible processses. Using the Legendre transformations two new thermodynamics potentials P and S depending upon internal thermodynamic forces...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2016-05-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| Online Access: | https://www.ijame-poland.com/Closed-system-of-coupling-effects-in-generalized-thermo-elastoplasticity,167135,0,2.html |
| _version_ | 1827873479017365504 |
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| author | Z. Śloderbach |
| author_facet | Z. Śloderbach |
| author_sort | Z. Śloderbach |
| collection | DOAJ |
| description | In this paper, the field equations of the generalized coupled thermoplasticity theory are derived using the postulates of classical thermodynamics of irreversible processses. Using the Legendre transformations two new thermodynamics potentials P and S depending upon internal thermodynamic forces Π are introduced. The most general form for all the thermodynamics potentials are assumed instead of the usually used additive form. Due to this assumption, it is possible to describe all the effects of thermomechanical couples and also the elastic-plastic coupling effects observed in such materials as rocks, soils, concretes and in some metalic materials. In this paper not only the usual postulate of existence of a dissipation qupotential (the Gyarmati postulate) is used to derive the velocity equation. The plastic flow constitutive equations have the character of non-associated flow laws even when the Gyarmati postulate is assumed. In general formulation, the plastic strain rate tensor is normal to the surface of the generalized function of plastic flow defined in the the space of internal thermodynamic forces Π but is not normal to the yield surface. However, in general formulation and after the use the Gyarmati postulate, the direction of the sum of the plastic strain rate tensor and the coupled elastic strain rate tensor is normal to the yield surface. |
| first_indexed | 2024-03-12T16:37:37Z |
| format | Article |
| id | doaj.art-95a093b6212445c0a60b72c273250954 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:37:37Z |
| publishDate | 2016-05-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-95a093b6212445c0a60b72c2732509542023-08-08T14:47:10ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032016-05-0121246148310.1515/ijame-2016-0028167135Closed system of coupling effects in generalized thermo-elastoplasticityZ. Śloderbach0Opole University of Technology, Faculty of Applications of Chemistry and Mechanics, 45-036 Opole, ul. Luboszycka 7, POLANDIn this paper, the field equations of the generalized coupled thermoplasticity theory are derived using the postulates of classical thermodynamics of irreversible processses. Using the Legendre transformations two new thermodynamics potentials P and S depending upon internal thermodynamic forces Π are introduced. The most general form for all the thermodynamics potentials are assumed instead of the usually used additive form. Due to this assumption, it is possible to describe all the effects of thermomechanical couples and also the elastic-plastic coupling effects observed in such materials as rocks, soils, concretes and in some metalic materials. In this paper not only the usual postulate of existence of a dissipation qupotential (the Gyarmati postulate) is used to derive the velocity equation. The plastic flow constitutive equations have the character of non-associated flow laws even when the Gyarmati postulate is assumed. In general formulation, the plastic strain rate tensor is normal to the surface of the generalized function of plastic flow defined in the the space of internal thermodynamic forces Π but is not normal to the yield surface. However, in general formulation and after the use the Gyarmati postulate, the direction of the sum of the plastic strain rate tensor and the coupled elastic strain rate tensor is normal to the yield surface.https://www.ijame-poland.com/Closed-system-of-coupling-effects-in-generalized-thermo-elastoplasticity,167135,0,2.htmlthermodynamic potentialscouplings effectsstressesdeformationstemperatureentropyenthalpyconstitutive and rate equationsyield surfaceplastic potential |
| spellingShingle | Z. Śloderbach Closed system of coupling effects in generalized thermo-elastoplasticity International Journal of Applied Mechanics and Engineering thermodynamic potentials couplings effects stresses deformations temperature entropy enthalpy constitutive and rate equations yield surface plastic potential |
| title | Closed system of coupling effects in generalized thermo-elastoplasticity |
| title_full | Closed system of coupling effects in generalized thermo-elastoplasticity |
| title_fullStr | Closed system of coupling effects in generalized thermo-elastoplasticity |
| title_full_unstemmed | Closed system of coupling effects in generalized thermo-elastoplasticity |
| title_short | Closed system of coupling effects in generalized thermo-elastoplasticity |
| title_sort | closed system of coupling effects in generalized thermo elastoplasticity |
| topic | thermodynamic potentials couplings effects stresses deformations temperature entropy enthalpy constitutive and rate equations yield surface plastic potential |
| url | https://www.ijame-poland.com/Closed-system-of-coupling-effects-in-generalized-thermo-elastoplasticity,167135,0,2.html |
| work_keys_str_mv | AT zsloderbach closedsystemofcouplingeffectsingeneralizedthermoelastoplasticity |