Pattern formation of fracture and universality of distribution laws.

2023 Fiscal Year Final Research Report

• Project/Area Number: 19K03652
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
• Research Institution: Osaka University
• Principal Investigator: Yukawa Satoshi 大阪大学, 大学院理学研究科, 准教授 (20292899)
• Project Period (FY): 2019-04-01 – 2024-03-31
• Keywords: 破壊現象 / 分布関数のスケーリング

Outline of Final Research Achievements

To understand the statistical properties of patterns and fragment distribution observed in fracture phenomena, we conducted research using computer simulations. The primary subjects of our study were the cracks observed on spherical shells, such as those seen in the pattern formation process of musk melons, and the tensile failure of composite materials, such as fiber-reinforced ceramic materials. Our findings revealed that even in the fracture of the same spherical shell, the nature of the fracture qualitatively differed depending on whether it occurred rapidly or slowly. We also discovered that the length scale of the fibers reinforcing the composite materials governs the distribution laws.

Free Research Field

非平衡統計物理学

Academic Significance and Societal Importance of the Research Achievements

球殻上の破壊現象に対して、叩いて急に破壊される場合とゆっくりと準静的に破壊される場合で、破片の分布関数や分布関数のスケーリング則とよばれる性質にあらわれる冪指数などの様相が質的に異なることが明らかになったこと、複合材料の破壊現象で現象を支配する長さスケールが内部構造に起因するスケールであることが明らかになったことは学術的に意義深い。これらの社会に対する直接的な意義はまだ薄いが破壊現象の理解が進んだ先には産業応用などへの可能性がある。