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Basic Theory for Dynamical Stability of Fracture Propagation

Research Project

Project/Area Number 09640468
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 物性一般(含基礎論)
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

NAKANISHI Hiizu  Kyushu Univ., Faculty of Science, Professor, 理学部, 教授 (90155771)

Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 1998: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1997: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsDynamical Fracture / Stability / Pulse Propagation / Front line Stability / Surface Wave / Visco-Elasticity
Research Abstract

1. The surface wave for a visco-elastic material is studied analytically and by numerical simulations. It is found that there is no surface wave solution in the case that the effect of surface tension is larger than the effect of elastic stress. Such a situation is not very realistic for an ordinary solid material but can be realized in a gel, therefore it is expected that fracture dynamics is very different from an ordinary solid in the gel where the elasticity is very small.
2. Dynamical stability of the crack front line that propagates between two plates is studied numerically using the simple two-dimensional mass-spring model. It is demonstrated that the straight front line is unstable for low speed while it becomes stable for high speed. For the uniform model, the roughness exponent in the slower speed region is fairly constant around 0.4 and there seems to be a rough- smooth transition at a certain speed. For the inhomogeneous case with quenched randomness, the transition is gradual.
3. Dynamics of fracture propagation is analyzed in the case where the fracture surfaces restick after the fracture front has passed for Mode III fracture in the two-dimensional elastic material. It is found that the fracture speed is determined by the resticking condition in the case without dissipation.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (9 results)

All Other

All Publications (9 results)

  • [Publications] S. Kubota, et al.: "The Surface Wave of Viscoelastic Materials" Progress of Theoretical Physics Supplement. 126. 359-362 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T. Fukuhara, et al.: "Dynamical Stability of the Crack Front Line" Journal of Physical Society of Japan. 67. 4064-4067 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H. Nakanishi, et al.: "Absence of surface mode in a visco-elastic material with surface tension" Physical Review E. 58. 7678-7681 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Kubota and H.Nakanishi: ""The Surface Wave of Viscoelastic Materials"" Prog.Theor.Phys.Suppl.126. 359-362 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Fukuhara and H.Nakanishi: ""Dynamical Stability of the Crack Front Line"" J.Phys.Soc.Jpn.67. 4064-4067 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Nakanishi and S.Kubota: ""Absence of surface mode in a visco-elastic material with surface tension"" Phys.Rev.E.58. 7678-7681 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T. Fuluhara, et al.: "Dynamical Stability of the Crack Front Line" Journal of Physical Society of Japan. 67. 4064-4067 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H. Nakanishi, et al.: "Absence of surface mode in a visco-elastic material with surface tension" Physical Review E. 58. 7678-7681 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Kubota,et al.: "The Surface Wave of Viscoelastic Material" Progress of Theoretical Physics,Supplement. 126. 359-362 (1997)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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