Gauge theoretical analysis on the formation of dislocation microstructure

2014 Fiscal Year Final Research Report

• Project/Area Number: 25630266
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Physical properties of metals/Metal-base materials
• Research Institution: Osaka University
• Principal Investigator: TARUMI Ryuichi 大阪大学, 工学(系)研究科(研究院), 准教授 (30362643)
• Project Period (FY): 2013-04-01 – 2015-03-31
• Keywords: 転位組織 / ゲージ理論 / 応力場 / モンテカルロ法

Outline of Final Research Achievements

In this study, we investigated the formation of dislocation microstructure on the basis of gauge theory of dislocation. Stress field around a dislocation is derived using T(3) translational gauge theory. We also evaluated Peach-Koehler force as well as the corresponding potential in an analytical form. Numerical analysis based on the Monte Carlo method revealed that dislocations, which interact via the gauge theory, form dislocation microstructure as a metastable state. On the other hand, however, dislocations interacting via classical theory did not form any microstructure under the same simulation condition. This result can be understood as a realization of multi-scale phenomena. That is, the microscopic stress field around a dislocation core affect the formation of macroscopic dislocation microstructure.

Free Research Field

弾性理論、固体力学、材料科学