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Theory of Thermo-polar Materials and Application to Actual Structures

Research Project

Project/Area Number 15560079
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Materials/Mechanics of materials
Research InstitutionKeio University

Principal Investigator

TAKAHASHI Kunihiro  Keio University, Faculty of Science and Technology, Professor, 理工学部, 教授 (60095619)

Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2005: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2004: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2003: ¥1,700,000 (Direct Cost: ¥1,700,000)
Keywordsmechanical materials / mechanics of materials / architectural structures / materials / polar materials / micro-mode / thin-walled structures / マイクロモードマテリアル / モードアーム / バイモーメント / 熱バイモーメント / 場の方程式 / 熱伝導 / 熱的はり理論 / 熱モーメント / St.Venantの原理
Research Abstract

Materials with microscopic internal structures are receiving much research attention due to their potentially superior overall properties. The formulation of such materials begins with an analysis of the response of individual internal structures. The difference between the micro-mode materials and the ordinary micro-polar materials exists in the introduction of an intermediate material point that is called a meso-domain. In the meso-domain introduced in this study is constructed by the finite number mesoscopic elements. These elements can represent a finite number of folded plates of thin-walled beams or constituents of optical fibers. The concept of bimoment is the typical mechanical quantities introduced by the present theory.
The mechanical theory of micro-mode materials can be extended to the thermo-mechanical theory of materials. The theory of thermo-mechanical materials is introduced by the author and is extended in the present study. Thermo-mechanical mode-vectors that are the principal geometrical quantities of micro-mode materials are newly defined.
Constitutive equations of the micro-mode materials are also discussed by the entropy inequality using Green method. Field equations are obtained and the analytical solutions are compared with the results of numerical solutions. These results correspond well and show the validity of the present theory.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (7 results)

All 2006 2005 2003 Other

All Journal Article (6 results) Publications (1 results)

  • [Journal Article] 荷重経路U^*解析における複雑な境界条件の考慮2006

    • Author(s)
      伊賀崎賢哉二世
    • Journal Title

      自動車技術会春季学術講演会前刷集 (掲載決定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] マイクロモードマテリアルの概念に基づく薄肉開き断面部材のそり拘束ねじり理論2005

    • Author(s)
      平山隆之, 田口隆敏, 水内崇夫, 高橋邦弘
    • Journal Title

      第54回理論応用力学講演会前刷集 1 G08

      Pages: 199-200

    • NAID

      130004603579

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Theory of Micro-Mode Materials and Balance Equations of Thin-Walled Open Section Members2005

    • Author(s)
      T.Hirayama, T.Taguchi, T.Muzuuchi, K.Takahashi
    • Journal Title

      54^<th> Nat.Cong.of Theoretical & Applied Mechanics

      Pages: 199-200

    • NAID

      130004603579

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] マイクロモードマテリアルの概念に基づく薄肉開き断面部材のそり拘束ねじり理論2005

    • Author(s)
      平山, 田口, 水内, 高橋
    • Journal Title

      第54回応用力学講演会前刷集 第54回

      Pages: 199-200

    • NAID

      130004603579

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Atomistic Foundation of Solid Mechanics and Thermomechanics2003

    • Author(s)
      K.Takahashi, Y.Yasui, M.Nakane
    • Journal Title

      European Solid Mechanics Conference 5_th ESMC

      Pages: 264-269

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Atomistic Foundation of Solid Mechanics and Thermomechanics2003

    • Author(s)
      K.Takahashi, Y.Yasui, M.Nakane
    • Journal Title

      European Solid Mechanics Conference(5^<th> ESMC) 17-22

      Pages: 264-269

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Publications] K.Takahashi, Y.Yasui, M.Nakane: "Altomistic Foundation of Solid Mechanics and Thermomechanics"European Solid Mechanics Conference (5th ESMC), Thessaloniki. 5th. 264 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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