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Stereological Analysis of Diformation Mechanism of Granular Materials

Research Project

Project/Area Number 60460156
Research Category

Grant-in-Aid for General Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field 基礎・土質工学
Research InstitutionTOHOKU UNIVERSITY

Principal Investigator

SATAKE Masao  Professor, Faculty of Engineering, Tohoku Univ., 工学部, 教授 (50005188)

Co-Investigator(Kenkyū-buntansha) NIISEKI Shigeru  Research Associate, Faculty of Enqineering, Tohoku Univ., 工学部, 助手 (30005524)
KISHINO Yuji  Associate Professor, Faculty of Engineering, Tohoku Univ., 工学部, 助教授 (00005448)
Project Period (FY) 1985 – 1987
Project Status Completed (Fiscal Year 1987)
Budget Amount *help
¥7,100,000 (Direct Cost: ¥7,100,000)
Fiscal Year 1987: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1986: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1985: ¥5,000,000 (Direct Cost: ¥5,000,000)
KeywordsGranular Materials / Simulation / Stereology / Dissipation Mechanism / Fabric Tensor / Fractal / Flow Rule / 粒子間接飾力 / 変形の分散 / 異方性 / 散逸エネルギー
Research Abstract

The objective of this research is to investigate the complicated deformation mechanism of granular materials through the studies both on the microscopical behaviors of granular assemblies and on the statistical characteristics as continuum bodies.
In this research, a new simulation method for the granular assemblies in two dimensions was developed. The applications to various statical problems show that the mehod presented here is a useful tool for the investigations of mechanical behaviors of granular materials. Especially, it enables us to study in the way of the statistical approach which is represented by the stereological method. The main results obtained through the analyses using this method are the followings: (1) The distribution of dissipation energy calculated at each contact point has the fractal property that the mean value of the energy level is not specified (2) The total dissipation energy changes linearyl with the shear strain except for the sudden changes observed at the steps where the compactions are obsrved with the internal fabric changes. (3) The induced anisotrpy is characterized by a newly defined fabric tensor whose trace represents the co-ordination number and the minor principal value of the tensor changes remarkably with the development of anisotropy.
Through the consideration on the macroscopical behaviors of granular materials, several new ideas were presented. A new extremum proinciple for the work done by the deviational stress was proposed. Using this principle topether with approapriate dissipation functions, flow rules for the granular materials can be derived. A reasonable flow rule was derived through the statistical consideration on the dissipation mechanism in grnnular materials. Another new idea is the concept of the work increment tensor. Using this tensor, the Rowe's stress dilatancy equation in two dimensions was extended to the therr dimensional representation which has the suitable form as a tensor equation.

Report

(2 results)
  • 1987 Final Research Report Summary
  • 1986 Annual Research Report
  • Research Products

    (17 results)

All Other

All Publications (17 results)

  • [Publications] 岸野佑次: Proc. of US-Japan Seminar on Micromechanics of Granular Materials, Elsevier. (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 佐武正雄: Proc of US-Japan Seminar on Micromechanics of Granular Materials, Elsevier. (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 佐武正雄: Proc of the First International Symposium for Science on Form, KTK Scientific Publishers, Tokyo. 191-200 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 岸野佑次: 土木学論文集. III-9. (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 新関茂: Proc. of US-Japan Seminar on Micromechanics of Grannular Materials, Elsevier. (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 袰岩滋之: 昭和62年度東北支部技術研究発表会講演概要集. 297-298 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Yuji Kishino: "Disk Model Analysis of Granular Media" Proc. of US-Japan Seminar on Micromechanics of Granular Materials, Elsevier. (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Masao Satake: "Consideration of the Stress-Dilatancy Equation through the Work Increment Tensor" Proc. of US-Japan Seminar on Micromehanics of Granular Materials,. (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Masao Satake: "Compatibility Conditions for Granular Assimbly" Proc. of the First International Symposium for Science of Form, KTK Scientific Publishers, Tokyo. 191-200 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Yuji Kishino: "On the dirivation of Flow Rules for Granular Materials Based on Dissipation Functions" Proceedings of JSCE. III-9. (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Shigeru Niiseki: "New Optimality Theory in Nature and Coaxiality between Stress and Strain Increment Tensor" Proc. of US-Japan Seminar on Micromechanics of Granular Materials, Elsevier. 1988.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 岸野佑次: 土木学会第41回年次学術講演会講演概要集. 3. 243-244 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] 荒木一司,佐武正雄,岸野佑次: 昭和61年度土木学会東北支部技術研究発表会講演概要集. 242-243 (1987)

    • Related Report
      1986 Annual Research Report
  • [Publications] 佐藤亮一,佐武正雄,岸野佑次: 昭和61年度土木学会東北支部技術研究発表会講演概要集. 246-247 (1987)

    • Related Report
      1986 Annual Research Report
  • [Publications] 佐武正雄: Proceedings of the first International Symposium for Science on Form. 191-199 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] 佐武正雄: 第21回土質工学研究発表会昭和61年度発表講演集. 1. 357-358 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] 佐武正雄,岸野佑次: Proceeding of 7 th International Congress for Stereology. (1987)

    • Related Report
      1986 Annual Research Report

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Published: 1987-03-31   Modified: 2016-04-21  

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