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Nonlocal Elastic Constants of Inhomoegeneous Structure by Linking Approach of Generalized Continuum to Atomistic Model

Research Project

Project/Area Number 08650111
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

SHIBUTANI Yoji  Dept.of Mechanical Engng., Kobe Univ., Asso.Prof., 工学部, 助教授 (70206150)

Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1997: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1996: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsMesomechanics / Nonlocal elastic constants / Cossevat theory / Lattice dynamics / Molecular Dynamics
Research Abstract

Nonlocal elastic constants associated with strain gradient terms in the Cosserat theory are linked to atomic-level properties, in particular to coefficients that arise in lattice dynamics equations when atomic displacements are expressed in terms of a continuous displacement field. Therefore, the nonlocal elastic constants, including the ordinary tensor with rank of four, are expressed in terms of both relaxd lattice configuration and force constants which are the second derivative of an interatomic potential with respect to an atom position. Molecular statics and molecular dynamics simulations of the less symmetric surface and the high SIGMA-value grain boundary structures are performed using a Finnis-Sinclair type many-body potential. Then, the nonlocal properties are estimated by the derived relations for homogeneous centrosymmetric bulk region and inhomogenous part. It is found that the inhomogeneity enlarges the nonlocality the materials intrinsically have. The characteristic length defined by the 4th and 6th-order constants is less than a lattice spacing for most of the cubic lattice structures.

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • Research Products

    (26 results)

All Other

All Publications (26 results)

  • [Publications] 渋谷 陽二: "ミクロ・メゾ・マクロ連結のための力学的モデリング" 塑性と加工(日本塑性加工学会誌). 37. 444-450 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 渋谷 陽二: "メガ力学のための非局所化弾性定数の検討(第1報,ミクロ・マクロ連結手法からの定式化)" 日本機械学会論文集A編. 62. 2054-2059 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 渋谷 陽二: "弾性定数の数理展開" 材料. 46. 218-227 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 渋谷 陽二: "メガ力学のための非局所化弾性定数の検討(第2報,点対称な均質構造と不均質構造に対する非局所性)" 日本機械学会論文集A編. 63. 1461-1466 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Y.Shibutani: "Nonlocal Properties of Inhomogeneous Structures by Linking Approach of Generalized continuum to Atomistic Model" Int.J.Mech.Sci.40. 129-137 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Y.Shibutani: "Nonlocal Elastic constants of Centrosymmetric Hmogeneous Lattice Structure and Inhomogeneous One" JSME Int.J.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 北川 浩: "初心者のための分子動力学法" 養賢堂, 146 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Yoji Shibutani: "Multiscale modeling of mechanical behaviors" J.JSTP. Vol.37, No.424. 444-450 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Yoji Shibutani: "Vaclav Vitek and John L.Bassani, Nonlocal Elastic Constants for Mesomechanics (1st Report, Formulations from Linking Approach of Generalized Continuum to Atomistic Model)" Trans.JSME,A. Vol.62, No.601. 2054-2059 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Yoji Shibutani: "Definitions of elastic Constants" J.Soc.Mat.Sci.Japan. Vol.46, No.3. 218-227 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Yoji Shibutani: "Nonlocal Elastic Constants for Mesomechanics (2nd Report, Nonlocal Properties for Centrosymmetric Homogeneous Structures and Inhomogeneous ones)" Trans.JSME.A. Vol.63, No.611. 1461-1466 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Y.Shibutani, V.Vitek and J.L.Bassani: "Nonlocal Properties of Inhomogeneous Structures by Linking Approach of Generalized Continuum to Atomistic Model" Int.J.Mech.Sci.Vol.40, Nos.2-3. 129-137 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Y.Shibutani: "Nonlocal Elastic Constants of Centrosymmetric Homogeneous Lattice Structure and Inhomogeneous One" Accepted to JSME Int.J.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 渋谷陽二: "ミクロ・メゾ・マクロ連結のための力学的モデリング" 塑性と加工(日本塑性加工学会誌). 37. 444-450 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] 渋谷陽二: "メゾ力学のための非局所化弾性定数の検討(第1報,ミクロ・マクロ連結手法からの定式化)" 日本機械学会論文集 A編. 62. 2054-2059 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] 渋谷陽二: "弾性定数の数理展開" 材料. 46. 218-227 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 渋谷陽二: "メゾ力学のための非局所化弾性定数の検討(第2報,点対称な均質構造と不均質構造に対する非局所性)" 日本機械学会論文集 A編. 63. 1461-1466 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Shibutani: "Nonlocel Properties of Inhonogbeous Structures by Linking Approach of Generaliged Continwem to Atmistic Model" Int.J.Mech.Sci.40. 129-137 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Shibutani: "Nonlocal Elastic Canstants of Centrosymmetric Hmogeneous Lattice Structure and In homogeneous One" JSME Int.J.(掲載予定).

    • Related Report
      1997 Annual Research Report
  • [Publications] 北川浩: "初心者のための分子動力学法" 養賢堂, 146 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 渋谷陽二: "メゾ力学のための非局所化弾性定数の検討(第1報,ミクロ・マクロ連結手法からの定式化)" 日本機械学会論文集. 62・601. 2054-2059 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Y.Shibutani: "Mesoscopic Nonlocal Properties by Linking Approach of Generalized Continuum to Atomistic Model" Proc.of AEPA'96. 483-488 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 渋谷陽二: "弾性定数の数理展開" 材料(日本材料学会誌). 46・3. 2-11 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] 渋谷陽二: "非局所化弾性定数の対称性" 日本機械学会第74期全国大会講演論文集(I). No.96-15. 61-62 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 石川泰弘: "結晶粒界における非局性" 日本機械学会第74期全国大会講演論文集(I). No.96-15. 63-64 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Y.Shibutani: "Nonlocal Properties of Inhomogeneous Structures by Macro-Micro Linking Approach" XIXth Int.Cong.of Theoretical & Applied Mech.(ICTAM). (1996)

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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