Structure and relations of a multi-level mathematical model for describing microcracks formation during polycrystals deformation
The mechanical behavior of parts is significantly affected by the material’s internal defective structure and its evolution. The paper aims to build a complex physically based mathematical model for describing the behavior of metals in the deformation and destruction process. The main deformation me...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2021-06-01
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| Series: | Учёные записки Казанского университета. Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://kpfu.ru/uz-eng-phm-2021-2-7.html |
| _version_ | 1797963141245566976 |
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| author | K.A. Kurmoiartseva N.V. Kotelnikova P.S. Volegov |
| author_facet | K.A. Kurmoiartseva N.V. Kotelnikova P.S. Volegov |
| author_sort | K.A. Kurmoiartseva |
| collection | DOAJ |
| description | The mechanical behavior of parts is significantly affected by the material’s internal defective structure and its evolution. The paper aims to build a complex physically based mathematical model for describing the behavior of metals in the deformation and destruction process. The main deformation mechanisms of metals and alloys are considered. The mechanism and criterion for the microcrack nucleation, as well as a method for microcracks describing, are outlined. The structure and main relations of the developed model are presented, including a description of the most significant mechanisms carriers evolution implemented at each structural-scale level. A submodel of the evolution of dislocation densities during deformation due to such mechanisms as the new dislocations generation and opposite dislocations annihilation on close slipping systems is described. The algorithm for implementing the model and the results of modeling the dislocation structure evolution are presented. The multi-level approach based on the crystal plasticity and the introduction of internal variables is found to be sufficiently effective for describing both the propagation and nucleation of microcracks in metals. |
| first_indexed | 2024-04-11T01:23:38Z |
| format | Article |
| id | doaj.art-349c33076ccb4ac9b7eb74c2f124231c |
| institution | Directory Open Access Journal |
| issn | 2541-7746 2500-2198 |
| language | English |
| last_indexed | 2024-04-11T01:23:38Z |
| publishDate | 2021-06-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета. Серия Физико-математические науки |
| spelling | doaj.art-349c33076ccb4ac9b7eb74c2f124231c2023-01-03T10:45:24ZengKazan Federal UniversityУчёные записки Казанского университета. Серия Физико-математические науки2541-77462500-21982021-06-01163219721310.26907/2541-7746.2021.2.197-213Structure and relations of a multi-level mathematical model for describing microcracks formation during polycrystals deformationK.A. Kurmoiartseva0N.V. Kotelnikova1P.S. Volegov2Perm National Research Polytechnic University, Perm, 614990 RussiaPerm National Research Polytechnic University, Perm, 614990 RussiaPerm National Research Polytechnic University, Perm, 614990 RussiaThe mechanical behavior of parts is significantly affected by the material’s internal defective structure and its evolution. The paper aims to build a complex physically based mathematical model for describing the behavior of metals in the deformation and destruction process. The main deformation mechanisms of metals and alloys are considered. The mechanism and criterion for the microcrack nucleation, as well as a method for microcracks describing, are outlined. The structure and main relations of the developed model are presented, including a description of the most significant mechanisms carriers evolution implemented at each structural-scale level. A submodel of the evolution of dislocation densities during deformation due to such mechanisms as the new dislocations generation and opposite dislocations annihilation on close slipping systems is described. The algorithm for implementing the model and the results of modeling the dislocation structure evolution are presented. The multi-level approach based on the crystal plasticity and the introduction of internal variables is found to be sufficiently effective for describing both the propagation and nucleation of microcracks in metals.https://kpfu.ru/uz-eng-phm-2021-2-7.htmlmathematical modelingphysical plasticity theoriescrystal plasticitydeformation of polycrystalline materialsdislocation densitiesmicrocrack nucleationdamage |
| spellingShingle | K.A. Kurmoiartseva N.V. Kotelnikova P.S. Volegov Structure and relations of a multi-level mathematical model for describing microcracks formation during polycrystals deformation Учёные записки Казанского университета. Серия Физико-математические науки mathematical modeling physical plasticity theories crystal plasticity deformation of polycrystalline materials dislocation densities microcrack nucleation damage |
| title | Structure and relations of a multi-level mathematical model for describing microcracks formation during polycrystals deformation |
| title_full | Structure and relations of a multi-level mathematical model for describing microcracks formation during polycrystals deformation |
| title_fullStr | Structure and relations of a multi-level mathematical model for describing microcracks formation during polycrystals deformation |
| title_full_unstemmed | Structure and relations of a multi-level mathematical model for describing microcracks formation during polycrystals deformation |
| title_short | Structure and relations of a multi-level mathematical model for describing microcracks formation during polycrystals deformation |
| title_sort | structure and relations of a multi level mathematical model for describing microcracks formation during polycrystals deformation |
| topic | mathematical modeling physical plasticity theories crystal plasticity deformation of polycrystalline materials dislocation densities microcrack nucleation damage |
| url | https://kpfu.ru/uz-eng-phm-2021-2-7.html |
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