2023 Fiscal Year Annual Research Report
Theoretical and numerical analysis for a phase-field model describing the crack growth phenomenon
| Project/Area Number |
19K14605
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| Research Institution | Hokkaido University |
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Principal Investigator |
GAO Yueyuan 北海道大学, 電子科学研究所, 特任助教 (80807793)
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| Project Period (FY) |
2019-04-01 – 2024-03-31
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| Keywords | Crack growth phenomenon / Phase-field models / Inhomogeneity / Fracture toughness / Inverse problem |
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| Outline of Annual Research Achievements |
We study the crack propagation in an inhomogeneous media in which fracture toughness varies in space. By using the two phase-field models based on two different surface energy functionals, which are so called AT1 and AT2 models, we perform simulations of the crack propagation by finite volume method and show that the J-integral reflects the effective inhomogeneous toughness.
We then formulate inverse problems to estimate space-dependent fracture toughness from the crack path. Our method which is based on data pre-processing and regression, successfully estimates the positions and magnitude of tougher regions for different geometry of inhomogeneity. Based on the results, we discuss the advantages and disadvantages of the AT1 and AT2 models.
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