| 研究課題/領域番号 |
19K14605
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| 研究機関 | 国立研究開発法人産業技術総合研究所 |
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研究代表者 |
GAO Yueyuan 国立研究開発法人産業技術総合研究所, 材料・化学領域, 産総研特別研究員 (80807793)
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| 研究期間 (年度) |
2019-04-01 – 2022-03-31
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| キーワード | Crack growth phenomenon / Phase-field model / Data science / Numerical analysis |
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| 研究実績の概要 |
We study the crack growth phenomenon by means of a phase-field model. The model contains 2 equations and one equation involves the positive-part function. The positive-part function is due to the irreversibility of the crack growth phenomenon. After having tested that our codes can give stable simulation results, we started to investigate the properties of the material, especially the J-integral and the fracture toughness by numerical analysis and data science techniques.
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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
In order to obtain the correct value the J-integral, we have checked and discussed the physical meaning of the parameters in the phase-field model. Then we start to combine data science techniques to study the fracture toughness. We change the fracture toughness at a certain region to consider inhomogeneous materials. And we check the relation between the fracture toughness and the J-integral.
We performed simulations to validate the fact that increasing the fracture toughness at a certain region indeed prevents the crack to propagate, and thus gives larger value of the J-integral, which corresponds to a tougher material. In the study, we have tried various type of inhomogeneity, both in deterministic and stochastic cases and that leads us towards the study of the design of materials.
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| 今後の研究の推進方策 |
The questions that we are now investigating on the design of materials are
1) Given a path of a crack, if we assume some properties on the material, such as the boundary condition and the homogeneity, can we inversely estimate the parameters of the fracture toughness from the phase-field model.
2) Based on the parameter estimation, can we design the structure of the material so that it will have larger toughness.
In the phase-field model, there appears to be large contrast in the orders of the parameters. A challenging problem to be tackled at the first place is that can parameter estimation method identify the parameters to a certain accuracy. The method that we have been applying is called SINDy.
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| 次年度使用額が生じた理由 |
The project will be carried on by continuing the numerical analysis and by the interactions and discussions with collaborators. Therefore, during the next fiscal year, one part of the funding will be used for purchasing software as Matlab and some books, and the other part will be used for business trips of scientific visits.
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