Theoretical study of inhomogeneous-nonlinear deformation mechanics in earth continuum

2015 Fiscal Year Final Research Report

• Project/Area Number: 25400451
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Solid earth and planetary physics
• Research Institution: Kobe University
• Principal Investigator: Yamasaki Kazuhito 神戸大学, 理学(系)研究科(研究院), 講師 (20335417)
• Co-Investigator(Kenkyū-buntansha): YAJIMA Takahiro 宇都宮大学, 大学院工学研究科, 准教授 (00548141)
• Project Period (FY): 2013-04-01 – 2016-03-31
• 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

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.

Free Research Field

数物系科学