Mesomechanical Aspects of the Strain-Rate Sensitivity of Armco-Iron Pulled in Tension
The phenomenon of the strain-rate sensitivity of metallic materials has been a topic of interest since the first mechanical tests at different strain rates were performed. The problem of its theoretical description appeared simultaneously. Despite the significant number of studies covering this issu...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/13/6/866 |
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| author | Mikhail Eremin Artyom Chirkov Vladimir Danilov |
| author_facet | Mikhail Eremin Artyom Chirkov Vladimir Danilov |
| author_sort | Mikhail Eremin |
| collection | DOAJ |
| description | The phenomenon of the strain-rate sensitivity of metallic materials has been a topic of interest since the first mechanical tests at different strain rates were performed. The problem of its theoretical description appeared simultaneously. Despite the significant number of studies covering this issue, it is necessary to rule out a few drawbacks of previously reported models, which is the goal of this work. Herein, an extension of the elastic–viscoplastic model to a generalized state of stress is proposed while aiming to describe the strain rate sensitivity of Armco-iron samples that were pulled in tension within the framework of the finite-difference method. A mathematical model was formulated using equivalent stress and strain, which alleviated the complexity of the relaxation-type constitutive equations. The critical shear stress (CSS) function describes S-type instability with a single equation. The plastic strain rate was calculated based on the well-known Orowan equation, which is related to dislocation dynamics. In addition, the model took the material’s microstructure into account based on the design of a representative volume element (RVE) using the step-by-step packing (SSP) method. The results of the modeling were compared with the available experimental data and were found to satisfactorily correlate with them. The results suggest that the misfit error between the model and experimental data did not exceed 10% in the range of strain rates under study, which is a reliable outcome. |
| first_indexed | 2024-03-11T02:35:26Z |
| format | Article |
| id | doaj.art-042734aa5b824c58a1a984bb719c4deb |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-11T02:35:26Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-042734aa5b824c58a1a984bb719c4deb2023-11-18T09:55:52ZengMDPI AGCrystals2073-43522023-05-0113686610.3390/cryst13060866Mesomechanical Aspects of the Strain-Rate Sensitivity of Armco-Iron Pulled in TensionMikhail Eremin0Artyom Chirkov1Vladimir Danilov2Laboratory of Mechanics of Heterogeneous Materials, Institute of Strength Physics and Materials Science of the Siberian Branch of the Russian Academy of Sciences, 2/4 Akademicheskii Pr., 634055 Tomsk, RussiaLaboratory of Mechanics of Heterogeneous Materials, Institute of Strength Physics and Materials Science of the Siberian Branch of the Russian Academy of Sciences, 2/4 Akademicheskii Pr., 634055 Tomsk, RussiaLaboratory of Strength Physics, Institute of Strength Physics and Materials Science of the Siberian Branch of the Russian Academy of Sciences, 2/4 Akademicheskii Pr., 634055 Tomsk, RussiaThe phenomenon of the strain-rate sensitivity of metallic materials has been a topic of interest since the first mechanical tests at different strain rates were performed. The problem of its theoretical description appeared simultaneously. Despite the significant number of studies covering this issue, it is necessary to rule out a few drawbacks of previously reported models, which is the goal of this work. Herein, an extension of the elastic–viscoplastic model to a generalized state of stress is proposed while aiming to describe the strain rate sensitivity of Armco-iron samples that were pulled in tension within the framework of the finite-difference method. A mathematical model was formulated using equivalent stress and strain, which alleviated the complexity of the relaxation-type constitutive equations. The critical shear stress (CSS) function describes S-type instability with a single equation. The plastic strain rate was calculated based on the well-known Orowan equation, which is related to dislocation dynamics. In addition, the model took the material’s microstructure into account based on the design of a representative volume element (RVE) using the step-by-step packing (SSP) method. The results of the modeling were compared with the available experimental data and were found to satisfactorily correlate with them. The results suggest that the misfit error between the model and experimental data did not exceed 10% in the range of strain rates under study, which is a reliable outcome.https://www.mdpi.com/2073-4352/13/6/866viscoplastic modelmicrostructure-based analysisLüders bandsrelaxation-type equationHall–Petch relationup–down–up equation |
| spellingShingle | Mikhail Eremin Artyom Chirkov Vladimir Danilov Mesomechanical Aspects of the Strain-Rate Sensitivity of Armco-Iron Pulled in Tension Crystals viscoplastic model microstructure-based analysis Lüders bands relaxation-type equation Hall–Petch relation up–down–up equation |
| title | Mesomechanical Aspects of the Strain-Rate Sensitivity of Armco-Iron Pulled in Tension |
| title_full | Mesomechanical Aspects of the Strain-Rate Sensitivity of Armco-Iron Pulled in Tension |
| title_fullStr | Mesomechanical Aspects of the Strain-Rate Sensitivity of Armco-Iron Pulled in Tension |
| title_full_unstemmed | Mesomechanical Aspects of the Strain-Rate Sensitivity of Armco-Iron Pulled in Tension |
| title_short | Mesomechanical Aspects of the Strain-Rate Sensitivity of Armco-Iron Pulled in Tension |
| title_sort | mesomechanical aspects of the strain rate sensitivity of armco iron pulled in tension |
| topic | viscoplastic model microstructure-based analysis Lüders bands relaxation-type equation Hall–Petch relation up–down–up equation |
| url | https://www.mdpi.com/2073-4352/13/6/866 |
| work_keys_str_mv | AT mikhaileremin mesomechanicalaspectsofthestrainratesensitivityofarmcoironpulledintension AT artyomchirkov mesomechanicalaspectsofthestrainratesensitivityofarmcoironpulledintension AT vladimirdanilov mesomechanicalaspectsofthestrainratesensitivityofarmcoironpulledintension |