| 研究領域 | ミルフィーユ構造の材料科学-新強化原理に基づく次世代構造材料の創製- |
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| 研究課題/領域番号 |
21H00102
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| 研究機関 | 九州大学 |
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研究代表者 |
Cesana Pierluigi 九州大学, マス・フォア・インダストリ研究所, 准教授 (60771532)
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| 研究期間 (年度) |
2021-04-01 – 2023-03-31
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| キーワード | Disclinations / Kink formation / Calculus of Variations / Solid Mechanics |
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| 研究実績の概要 |
My work during FY21 has been, on one side, on the development of computer codes for numerical solutions of boundary value problems for mechanical models of elastic crystals and on the other hand on the analysis of variational models in elasto-plasticity.
Developed a numerical program based on Finite Elements and performed numerical calculations for traction/compression tests of columnar structures of metal alloys. Discovered the dependence of kink morphologies (ortho-kinks, kink bands and ridge kinks) emerging from the interplay of elastic vs. material instabilities on lattice symmetry (hexagonal vs. square) and domain aspect ratio. (1 paper in preparation).
Accomplished the meso-scale modeling, via variational principle, of systems of interacting disclinations-dislocations which are proxies for kinks. Constructed a comprehensive variational theory for the Airy stress function method. Computed effective energies with Gamma-convergence (1 paper in preparation).
Developed a platform of numerical programs and models for supervised learning with the goal of accelerating and automatizing the design of functional structures and metal alloys (1 paper published).
Modeled and analyzed evolution of avalanches on lattices as General Branching Random Walks (1 paper accepted for publication).
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
The project is progressing very well and crucial results are expected to be obtained during FY22. A paper on the mesoscale modeling of systems of disclinations and dislocations will be submitted for publication soon in FY22. This paper sets a general theory to treat interacting wedge disclinations and edge dislocations via energy minimization. This research paves the way to more specific analysis such as homogenization of multi-layer structures (as in LPSO materials), constructions of stress-strain curves for metals with plastification at various length-scales, numerical computations for traction/compression tests.
A paper on the modeling and analysis of lattice avalanches has been accepted for publication on "The Journal of Applied Probability" in December 2021. A paper on applications of Machine Learning techniques in materials chemistry has been accepted for publication in January 2022 on "Machine Learning with Applications".
A paper describing numerical computations of kink formation in columnar structures based on a continuum model capable of describing micro-plasticity is currently in progress.
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| 今後の研究の推進方策 |
I will compute solutions to compression and extension experiments for metal alloys in simple domains with the micro-plasticity model developed in FY21. I will compute stress-strain curves and show the effect of material/geometry parameters on kink morphologies.
I will carry on variational analysis of meso-scale models with a semi-discrete (diffuse-core) approach by means of Gamma-convergence for systems of interacting disclinations and dislocations. I will construct kinks as solutions to boundary value problems. I will study homogenization of multi-layer structures for elasto-plastic models of elastic crystals in 2D geometries.
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