Mixed FEM for Shells of Revolution Based on Flow Theory and its Modifications
For describing elastoplastic deformation, three versions of constitutive equations are used. The first version employs the governing equations of the flow theory. In the second version, elastic strain increments are defined the same way as in the flow theory, and the plastic strain increments are ex...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2024-03-01
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| Series: | Structural Mechanics of Engineering Constructions and Buildings |
| Subjects: | |
| Online Access: | https://journals.rudn.ru/structural-mechanics/article/viewFile/38256/23206 |
| _version_ | 1827315413402255360 |
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| author | Rumia Z. Kiseleva Natalia A. Kirsanova Anatoliy P. Nikolaev Yuriy V. Klochkov Vitaliy V. Ryabukha |
| author_facet | Rumia Z. Kiseleva Natalia A. Kirsanova Anatoliy P. Nikolaev Yuriy V. Klochkov Vitaliy V. Ryabukha |
| author_sort | Rumia Z. Kiseleva |
| collection | DOAJ |
| description | For describing elastoplastic deformation, three versions of constitutive equations are used. The first version employs the governing equations of the flow theory. In the second version, elastic strain increments are defined the same way as in the flow theory, and the plastic strain increments are expressed in terms of stress increments using the condition of their proportionality to the components of the incremental stress deviator tensor. In the third version, the constitutive equations for a load step were obtained without using the hypothesis of separating strains into the elastic and plastic parts. To obtain them, the condition of proportionality of the components of the incremental strain deviator tensor to the components of the incremental stress deviator tensor was applied. The equations are implemented using a hybrid prismatic finite element with a triangular base. A sample calculation shows the advantage of the third version of the constitutive equations. |
| first_indexed | 2024-04-24T22:54:23Z |
| format | Article |
| id | doaj.art-0e2a59b47e5d4904b3db918b7433ddca |
| institution | Directory Open Access Journal |
| issn | 1815-5235 2587-8700 |
| language | English |
| last_indexed | 2024-04-24T22:54:23Z |
| publishDate | 2024-03-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | Structural Mechanics of Engineering Constructions and Buildings |
| spelling | doaj.art-0e2a59b47e5d4904b3db918b7433ddca2024-03-18T07:44:31ZengPeoples’ Friendship University of Russia (RUDN University)Structural Mechanics of Engineering Constructions and Buildings1815-52352587-87002024-03-01201273910.22363/1815-5235-2024-20-1-27-3921022Mixed FEM for Shells of Revolution Based on Flow Theory and its ModificationsRumia Z. Kiseleva0https://orcid.org/0000-0002-3047-5256Natalia A. Kirsanova1https://orcid.org/0000-0003-3496-2008Anatoliy P. Nikolaev2https://orcid.org/0000-0002-7098-5998Yuriy V. Klochkov3https://orcid.org/0000-0002-1027-1811Vitaliy V. Ryabukha4https://orcid.org/0000-0002-7394-8885Volgоgrad State Agrarian UniversityFinancial University under the Government of the Russian FederationVolgоgrad State Agrarian UniversityVolgоgrad State Agrarian UniversityVolgоgrad State Agrarian UniversityFor describing elastoplastic deformation, three versions of constitutive equations are used. The first version employs the governing equations of the flow theory. In the second version, elastic strain increments are defined the same way as in the flow theory, and the plastic strain increments are expressed in terms of stress increments using the condition of their proportionality to the components of the incremental stress deviator tensor. In the third version, the constitutive equations for a load step were obtained without using the hypothesis of separating strains into the elastic and plastic parts. To obtain them, the condition of proportionality of the components of the incremental strain deviator tensor to the components of the incremental stress deviator tensor was applied. The equations are implemented using a hybrid prismatic finite element with a triangular base. A sample calculation shows the advantage of the third version of the constitutive equations.https://journals.rudn.ru/structural-mechanics/article/viewFile/38256/23206shell of revolutionphysical nonlinearityprismatic finite elementmixed functionalimplementation of mixed fem |
| spellingShingle | Rumia Z. Kiseleva Natalia A. Kirsanova Anatoliy P. Nikolaev Yuriy V. Klochkov Vitaliy V. Ryabukha Mixed FEM for Shells of Revolution Based on Flow Theory and its Modifications Structural Mechanics of Engineering Constructions and Buildings shell of revolution physical nonlinearity prismatic finite element mixed functional implementation of mixed fem |
| title | Mixed FEM for Shells of Revolution Based on Flow Theory and its Modifications |
| title_full | Mixed FEM for Shells of Revolution Based on Flow Theory and its Modifications |
| title_fullStr | Mixed FEM for Shells of Revolution Based on Flow Theory and its Modifications |
| title_full_unstemmed | Mixed FEM for Shells of Revolution Based on Flow Theory and its Modifications |
| title_short | Mixed FEM for Shells of Revolution Based on Flow Theory and its Modifications |
| title_sort | mixed fem for shells of revolution based on flow theory and its modifications |
| topic | shell of revolution physical nonlinearity prismatic finite element mixed functional implementation of mixed fem |
| url | https://journals.rudn.ru/structural-mechanics/article/viewFile/38256/23206 |
| work_keys_str_mv | AT rumiazkiseleva mixedfemforshellsofrevolutionbasedonflowtheoryanditsmodifications AT nataliaakirsanova mixedfemforshellsofrevolutionbasedonflowtheoryanditsmodifications AT anatoliypnikolaev mixedfemforshellsofrevolutionbasedonflowtheoryanditsmodifications AT yuriyvklochkov mixedfemforshellsofrevolutionbasedonflowtheoryanditsmodifications AT vitaliyvryabukha mixedfemforshellsofrevolutionbasedonflowtheoryanditsmodifications |