Theoretical study of inhomogeneous-nonlinear deformation mechanics in earth continuum
| Project/Area Number |
25400451
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Solid earth and planetary physics
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| Research Institution | Kobe University |
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Principal Investigator |
Yamasaki Kazuhito 神戸大学, 理学(系)研究科(研究院), 講師 (20335417)
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| Co-Investigator(Kenkyū-buntansha) |
YAJIMA Takahiro 宇都宮大学, 大学院工学研究科, 准教授 (00548141)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Keywords | 断層 / 欠陥場 / 変位場 / 変形場 / 分数階微分 / 非線形 / 非局所 / 非平衡 / 岩石変形 / フラクタル / 連続体力学 / 破砕帯 / 非整数微分 / 非整数次元 / ラプラス方程式 / グリーン関数 / 固体地球科学 / 変形 / 破壊 / 流動 / 理論 |
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| Outline of Final Research Achievements |
Based on fractional calculus, we considered the fault zone as a typical example of the deformed medium including internal structures characterized by the fractional dimension. The fractional notation of the Green’s function for the generalized Laplace field gives a relationship between the fractional dimension and the fractional order of the equation. We applied the relationship to the displacement field around the strike-slip fault characterized by the generalized Laplace equation. From the observed data for the strike-slip fault, we calculated the fractional dimension of the fractional deformation field. This result implies that the non-locality of the deformation field increases toward the fault. Moreover, we suggest the heuristic method of deriving the displacement field of the fractional Navier equation in the semi-fractional case.
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Report
(4 results)
Research Products
(8 results)
