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DEVELOPMENT OF BOUNDARY-TYPE MESHLESS SOLUTIONS FOR INHOMOGENEOUS AND NON-LINEAR MATERIALS AND APPLICATION TO INVERSEANAYSIS

Research Project

Project/Area Number 16560066
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Materials/Mechanics of materials
Research InstitutionSHINSHU UNIVERSITY

Principal Investigator

TANAKA Masataka  SHINSHU UNIVERSITY, FACULTY OF ENGINEERING, PROFESSOR, 工学部, 教授 (40029319)

Co-Investigator(Kenkyū-buntansha) 荒井 雄理  信州大学, 工学部, 助手 (50377644)
Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2005: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 2004: ¥2,300,000 (Direct Cost: ¥2,300,000)
KeywordsCOMPUTATIONAL MECHANICS / BOUNDARY ELEMENT METHOD / DUAL RECIPROCITY / MESHLESS METHOD / BOUNDARY NODE METHOD / POTENTIAL PROBLEM / INHOMOGENEOUS MATERIALS / NONLINEAR PROBLEM / 境界積分方程式 / 領域積分 / 境界積分 / 逆問題
Research Abstract

The boundary-type meshless method of solution may provide a new, general solution of the initial-boundary-value problem. It is used as a pure-meshless, boundary-only method of solution when attention is paid to isotropic, homogeneous materials. For inhomogeneous and/or nonlinear materials, however, we inevitably encounter domain integrals due to effects arising from in-homogeneity and/or nonlinearity of the problem under consideration. In this research the domain integrals have been evaluated in a meshless manner by means of the radial-basis-function(RBF).
In the first year of this project, we have paid attention to treatment of the domain integrals in the standard boundary element method, and to development of the meshless methods mainly for the linear problems. We have collaborated together with the foreign researchers, Dr. Vladimir Skadek in Slovakia and Dr. Krishna M. Singh in India ; They were invited by this project and stayed about two months, and discussed the research subject. This collaboration was very fruitful ; The research work on the subject was progressed and new ideas were conceived.
First, we improved the solution procedure previously developed for linear problems and extended it to carbon-nano-tube (CNT) composite simulation. On the other hand, the meshless evaluation of various domain integrals in the boundary element method have been investigated for a wide variety of problems, and several papers in this field have been submitted. Some of the papers have been already published in esteemed national as well as international journals. Furthermore, some of the important results obtained are and/or were presented at the corresponding international conferences.

Report

(3 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report

Research Products

(23 results)

All 2005 2004

All Journal Article

  • [Journal Article] 温度依存性材料中の非定常熱伝導問題に対する二重相反時間ステップ境界要素法2005

    • Author(s)
      田中正隆, 松本敏郎
    • Journal Title

      日本機械学会論文集(A編) 71巻・702号

      Pages: 191-196

    • NAID

      110004998928

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Local integral equations and two meshless polynominal interpolations with application to potential problems in non-homogeneous media2005

    • Author(s)
      V.Sladek, M.Tanaka
    • Journal Title

      Computer Modeling in Engineering and Science Vol.7, No.1

      Pages: 69-83

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Transient heat conduction in anisotropic and functionally graded media by local integral equation2005

    • Author(s)
      V.Sladek, M.Tanaka
    • Journal Title

      Engineering Analysis with Boundary Elements 29

      Pages: 1047-1065

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Dual reciprocity BEM for the unsteady heat conduction problem in temperature-dependent isotropic materials2005

    • Author(s)
      M.Tanaka, T.Matsumoto
    • Journal Title

      Transactions of JSME Vol.71, No.702

      Pages: 191-196

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Local integral equations and two meshless polynominal interpolations with application to potential problems in non-homogeneous media2005

    • Author(s)
      V.Sladek, J.Sladek, M.Tanaka
    • Journal Title

      Computer Modeling in Engineering Science Vol.7, No.1

      Pages: 69-83

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Transiet heat conduction in anisotropic and functionally graded media by local integral equation2005

    • Author(s)
      V.Sladek, J.Sladek, M.Tanaka
    • Journal Title

      Engineering Analysis with Boundary Elements Vol.29

      Pages: 1047-1065

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 異方性材料の非定常熱伝導問題に対するDRMを用いた時間ステップ境界要素法(3次元問題での検討)2005

    • Author(s)
      田中 正隆
    • Journal Title

      計算数理工学論文集 5-2

      Pages: 129-134

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Large-scale thermal analysis of composites embedded with CNTs Of arbitrary shapes and random distribution2005

    • Author(s)
      Masataka Tanaka
    • Journal Title

      Transactions of JASCOME 5-2

      Pages: 107-112

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Transient heat conduction in anisotropic and functionally graded media by local integral equations2005

    • Author(s)
      Vladimir Sladek
    • Journal Title

      Engineering Analysis with Boundary Elements 29

      Pages: 1047-1065

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Accelerating multi-domain hybrid boundary node method with fast multipole method2005

    • Author(s)
      Masataka Tanaka
    • Journal Title

      Transactions of JASCOME 5-1

      Pages: 7-12

    • Related Report
      2005 Annual Research Report
  • [Journal Article] An inverse estimation of multi-dimensional load distributions in thermoelasticity problems via dual reciprocity BEM2005

    • Author(s)
      Masataka Tanaka
    • Journal Title

      Computational Mechanics DOI 10.1007

    • Related Report
      2005 Annual Research Report
  • [Journal Article] The hybrid boundary node method accelerated by fast multipole expansion technique for 3D potential problems2005

    • Author(s)
      Masataka Tanaka
    • Journal Title

      International Journal for Numerical Methods in Engineering 63

      Pages: 660-680

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 温度依存性材料中の非定常熱伝導問題に対する二重相反時間ステップ境界要素法2005

    • Author(s)
      田中正隆
    • Journal Title

      日本機械学会論文集(A編) 71巻・702号

      Pages: 191-196

    • NAID

      110004998928

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Local integral equations and two meshless polynominal interpolations with application to potential problems in non-homogeneous media2005

    • Author(s)
      Masataka Tanaka
    • Journal Title

      Computer Modeling in Engineering and Science Vol.7, No.1

      Pages: 69-83

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Fast hybrid BNM analysis of heat conduction properties of CNT-based composites2004

    • Author(s)
      J.M.Zhang, M.Tanaka
    • Journal Title

      Transactions of JASCOME, Journal of Boundary Element Methods Vol.21

      Pages: 39-44

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 三次元異方性熱弾性問題の境界要素法による解析法の考察2004

    • Author(s)
      田中正隆, 松本敏郎
    • Journal Title

      境界要素法論文集 Vol.21

      Pages: 45-48

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Local integral equations for transient heat conduction in functionally graded materials2004

    • Author(s)
      V.Sladek, M.Tanaka
    • Journal Title

      Transactions of JASCOME, Journal of Boundary Element Methods Vol.21

      Pages: 7-12

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Fast hybrid BNM analysis of heat conduction properties of CNT-based composites2004

    • Author(s)
      M.Tanaka, J.M.Zhang
    • Journal Title

      Transactions of JASCOME Vol.21

      Pages: 39-44

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] BEM study on three-dimensional problems in anisotropic media2004

    • Author(s)
      M.Tanaka, T.Matsumoto, T.Hara
    • Journal Title

      Transactions of JASCOME Vol.21

      Pages: 45-48

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Local integral equations for transient heat conduction in functionally graded materials2004

    • Author(s)
      V.Sladek, J.Sladek, M.Tanaka
    • Journal Title

      Transactions of JASCOME Vol.21

      Pages: 7-12

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 三次元異方性熱弾性問題の境界要素法による解析法の考察2004

    • Author(s)
      田中正隆
    • Journal Title

      境界要素法論文集 Vol.21

      Pages: 45-48

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Fast hybrid BNM analysis of heat conduction properties of CNT-based composites2004

    • Author(s)
      Masataka Tanaka
    • Journal Title

      Transactions of JASCOME, Journal of Boundary Element Methods Vol.21

      Pages: 39-44

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Local integral equations for transient heat conduction in functionally graded materials2004

    • Author(s)
      Masataka Tanaka
    • Journal Title

      Transactions of JASCOME, Journal of Boundary Element Methods Vol.21

      Pages: 7-12

    • Related Report
      2004 Annual Research Report

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Published: 2004-03-31   Modified: 2016-04-21  

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