| 研究課題/領域番号 |
16K21213
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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) |
2016-04-01 – 2019-03-31
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| キーワード | Gamma-Convergence / Dimension-reduction / phase-transformations / avalanches / stochastic process |
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| 研究実績の概要 |
Accomplished the analysis and modeling of thin elastic membranes of an active material (nematic elastomers). Determined the compactness properties of the minimizing sequences and computed the effective asymptotic energy of the “sandwich” structure by means of Gamma-Convergence. Currently finalizing the paper.
Stochastic modeling of martensite microstructure and avalanches. Accomplished the 3-Dimensional analysis of a fragmentation process describing the nucleation and evolution of plates. Obtained analytical solutions and numerical approximations of the distributions of plates describing a martensitic microstructure observed in phase-transforming materials in metallurgy (elastic crystals).
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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
First paper regarding the modeling and analysis of thin elastic membranes has been developed throughout the first year and has now come to completion. Currently I am wrapping up a manuscript in collaboration with Dr. Andres Baldelli (ENSTA, Paris). More work is to be done in other directions (either analysis, modeling, numerics or all) and will be the object of another paper. First paper regarding stochastic models of martensitic avalanches is almost finished. Very little work needs to be finalized (such as, some numerical simulations to validate some 2D analytical results) although the main part (3D analysis) has been accomplished. Currently am finishing the work and together with my collaborator Prof. Ben Hambly (Oxford) we have already started wrapping up the paper.
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| 今後の研究の推進方策 |
Finalizing the 2 papers started during the First year. Further work to be done includes: 1 Construction of Boundary Value Problems for thin structures of nematic elastomers and computation of their solution, by either analytical or numerical methods and comparison with experimental evidence.
2 To construct and refine a platform of flexible stochastic models for the evolution of plates. Creation of more physically sound and sophisticated models taking into account surface energy penalization and other phenomena. Accomplish numerical analysis of the models where it is not possible to obtain closed form equations.
3 Possibly compare analytical and numerical results with experimental data of martensitic avalanches and disclinations.
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| 次年度使用額が生じた理由 |
didn't need to use the Kakenhi money for equipment (PC or books)
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| 次年度使用額の使用計画 |
will use in the following year for either travel, equipment or inviting an international scientist.
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