2021 Fiscal Year Research-status Report
Understanding plasticity of metals through proving discrete-to-continuum limits of interacting particle systems
| Project/Area Number |
20K14358
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| Research Institution | Kanazawa University |
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Principal Investigator |
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| Project Period (FY) |
2020-04-01 – 2024-03-31
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| Keywords | discrete-to-continuum / interacting particles / dislocations |
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| Outline of Annual Research Achievements |
Last fiscal year, within the scope of my research plan on plasticity (which consists of 3 parts: (A) convergence rates, (B) particle annihilation and (C) atomistic models), I got 2 papers published, 1 accepted and 2 submitted; all to highly respected peer-reviewed journals.
The first published paper is about a proper mathematical description for particle systems involving impenetrable barriers, it is a helpful for project (A). The second published paper provides a new model for dislocation curve dynamics, which fits to the theme of plasticity. The accepted paper is on boundary layers appearing in particle pile-ups, which is an application of project (A). The first submitted paper is on singular dynamical systems, which helps with understanding project (B). The second submitted paper is on the hydrodynamic limit of stochastic particle systems, which fits to project (C).
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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
Several of the goals in the proposal have been met in the already published and submitted papers. The results in these papers reveal that the more ambitious parts of the proposal are harder to tackle. However, they have also revealed that there are additional interesting problems to study related to the projects (A), (B) and (C) in the proposal. I am currently working on 5 such problems.
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| Strategy for Future Research Activity |
I will continue the 5 problems mentioned in the "Current Status" section, and hope to submit them as papers to highly respected peer-reviewed journals in the coming fiscal year. I expect those papers to open up new possibilities for further development of projects (A), (B) and (C) in the proposal.
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| Causes of Carryover |
Since the border measures remained very strict due to the corona pandemic, there was no opportunity for business trips abroad and little opportunity for business trips inside Japan. Therefore, I did not spend all the money as attended from fiscal year 2021.
In fiscal year 2022 I intend to use the additional budget from last year to buy a powerful computer to perform simulations with a high computational capacity.
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Research Products
(10 results)
