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1997 Fiscal Year Final Research Report Summary

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
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.

  • Research Products

    (13 results)

All Other

All Publications (13 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 1999-03-16  

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