Hall–Petch Description of the Necking Point Stress
We posited that the grain size dependence of the tensile necking stress, as determined by the Considère criterion for plastic instability, is a more meaningful characteristic of the Hall–Petch (H–P) effect than that of the yield stress or the 0.2% proof stress. An inverse square-root dependence of t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Metals |
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| Online Access: | https://www.mdpi.com/2075-4701/13/4/690 |
| _version_ | 1827744441504366592 |
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| author | Alexey Vinogradov Yuri Estrin |
| author_facet | Alexey Vinogradov Yuri Estrin |
| author_sort | Alexey Vinogradov |
| collection | DOAJ |
| description | We posited that the grain size dependence of the tensile necking stress, as determined by the Considère criterion for plastic instability, is a more meaningful characteristic of the Hall–Petch (H–P) effect than that of the yield stress or the 0.2% proof stress. An inverse square-root dependence of the necking stress on the grain size was derived from a dislocation dynamics-based constitutive model. In this model, the grain size effect enters the stress indirectly via the evolution of the dislocation density. Model predictions were confirmed by the experimental data for nickel and titanium. |
| first_indexed | 2024-03-11T04:44:52Z |
| format | Article |
| id | doaj.art-9c6f8f1fa36d4abbaf23287bc2159d60 |
| institution | Directory Open Access Journal |
| issn | 2075-4701 |
| language | English |
| last_indexed | 2024-03-11T04:44:52Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Metals |
| spelling | doaj.art-9c6f8f1fa36d4abbaf23287bc2159d602023-11-17T20:26:18ZengMDPI AGMetals2075-47012023-03-0113469010.3390/met13040690Hall–Petch Description of the Necking Point StressAlexey Vinogradov0Yuri Estrin1Magnesium Research Center, Kumamoto University, Kumamoto 860-8555, JapanDepartment of Materials Science & Engineering, Monash University, Clayton, Melbourne, VIC 3800, AustraliaWe posited that the grain size dependence of the tensile necking stress, as determined by the Considère criterion for plastic instability, is a more meaningful characteristic of the Hall–Petch (H–P) effect than that of the yield stress or the 0.2% proof stress. An inverse square-root dependence of the necking stress on the grain size was derived from a dislocation dynamics-based constitutive model. In this model, the grain size effect enters the stress indirectly via the evolution of the dislocation density. Model predictions were confirmed by the experimental data for nickel and titanium.https://www.mdpi.com/2075-4701/13/4/690strain hardeninggrain sizenecking instabilitydislocation kinetics modeling |
| spellingShingle | Alexey Vinogradov Yuri Estrin Hall–Petch Description of the Necking Point Stress Metals strain hardening grain size necking instability dislocation kinetics modeling |
| title | Hall–Petch Description of the Necking Point Stress |
| title_full | Hall–Petch Description of the Necking Point Stress |
| title_fullStr | Hall–Petch Description of the Necking Point Stress |
| title_full_unstemmed | Hall–Petch Description of the Necking Point Stress |
| title_short | Hall–Petch Description of the Necking Point Stress |
| title_sort | hall petch description of the necking point stress |
| topic | strain hardening grain size necking instability dislocation kinetics modeling |
| url | https://www.mdpi.com/2075-4701/13/4/690 |
| work_keys_str_mv | AT alexeyvinogradov hallpetchdescriptionoftheneckingpointstress AT yuriestrin hallpetchdescriptionoftheneckingpointstress |