Potential fields of free energy at the stages of hardening and softening of the Hencky medium at nonpositivity of volume deformation
The Hencky medium with softening under isothermal and quasistatic deformation is considered. It is believed that volume deformation is not positive. In this case softening is characterized by the part of union curve with negative slope. For aforementioned conditions function of free energy is presen...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2014-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20733/16993 |
| _version_ | 1811330229691482112 |
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| author | Kirill V Berdnikov Valery V Struzhanov |
| author_facet | Kirill V Berdnikov Valery V Struzhanov |
| author_sort | Kirill V Berdnikov |
| collection | DOAJ |
| description | The Hencky medium with softening under isothermal and quasistatic deformation is considered. It is believed that volume deformation is not positive. In this case softening is characterized by the part of union curve with negative slope. For aforementioned conditions function of free energy is presented. For all stages of deformation in the space “volume deformation - intensity of shear’s deformation” level lines of the free energy are constructed. It is established that level lines are ellipses in hardening and function of free energy increases with distance from their centers, while in softening hyperbolas are level lines and function of free energy decreases with distance from their centers. Obtained results indirectly confirm the change in type of boundary value problem from elliptic to hyperbolic under material transition to the softening. |
| first_indexed | 2024-04-13T15:57:44Z |
| format | Article |
| id | doaj.art-c54c36ed957f40bfb43890262ac44468 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-04-13T15:57:44Z |
| publishDate | 2014-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-c54c36ed957f40bfb43890262ac444682022-12-22T02:40:37ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812014-06-01182828810.14498/vsgtu130718151Potential fields of free energy at the stages of hardening and softening of the Hencky medium at nonpositivity of volume deformationKirill V Berdnikov0Valery V Struzhanov1Institute of Engineering Science, Ural Branch of RASInstitute of Engineering Science, Ural Branch of RASThe Hencky medium with softening under isothermal and quasistatic deformation is considered. It is believed that volume deformation is not positive. In this case softening is characterized by the part of union curve with negative slope. For aforementioned conditions function of free energy is presented. For all stages of deformation in the space “volume deformation - intensity of shear’s deformation” level lines of the free energy are constructed. It is established that level lines are ellipses in hardening and function of free energy increases with distance from their centers, while in softening hyperbolas are level lines and function of free energy decreases with distance from their centers. Obtained results indirectly confirm the change in type of boundary value problem from elliptic to hyperbolic under material transition to the softening.https://journals.eco-vector.com/1991-8615/article/viewFile/20733/16993hencky mediumfree energypotential fieldslevel lineshardeningsoftening |
| spellingShingle | Kirill V Berdnikov Valery V Struzhanov Potential fields of free energy at the stages of hardening and softening of the Hencky medium at nonpositivity of volume deformation Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki hencky medium free energy potential fields level lines hardening softening |
| title | Potential fields of free energy at the stages of hardening and softening of the Hencky medium at nonpositivity of volume deformation |
| title_full | Potential fields of free energy at the stages of hardening and softening of the Hencky medium at nonpositivity of volume deformation |
| title_fullStr | Potential fields of free energy at the stages of hardening and softening of the Hencky medium at nonpositivity of volume deformation |
| title_full_unstemmed | Potential fields of free energy at the stages of hardening and softening of the Hencky medium at nonpositivity of volume deformation |
| title_short | Potential fields of free energy at the stages of hardening and softening of the Hencky medium at nonpositivity of volume deformation |
| title_sort | potential fields of free energy at the stages of hardening and softening of the hencky medium at nonpositivity of volume deformation |
| topic | hencky medium free energy potential fields level lines hardening softening |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20733/16993 |
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