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A posteriori error estimation of elasto-plastic analysis for ship structure

Research Project

Project/Area Number 07651135
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 船舶工学
Research InstitutionHIROSHIMA UNIVERSITY

Principal Investigator

KITAMURA Mitsuru  Hiroshima Univ., Faculty of Eng., Associate Prof., 工学部, 助教授 (40195293)

Co-Investigator(Kenkyū-buntansha) NOBUKAWA Hisashi  Hiroshima Univ., Faculty of Eng., Professor, 工学部, 教授 (60034344)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1996: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1995: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsFinite Element Method / A Posteriori Error / Non-linear Elastic Problems / Elasto-plastic Problems / Ship Structure / 船体構造解析
Research Abstract

It is well known that the accuracy of finite element analysis is deeply dependent on the mesh sub-division. Moreover, it takes many days to make the finite element model for an engineering problem. A posteriori error estimation method which can gives us the accuracy of the finite element analysis becomes very important because of this background.
The formulation of a posteriori error estimation in finite element analysis for twodimensional elasto-plastic problems is derived based on the theory discussed by Ohtsubo and Kitamura for dimensional elastic problems. This formulation was applied into non-linear elastic problems first. The proposed error estimation method works well for both problems. Since a posteriori error is estimated element by element, the computational time is not large at all.
The results of the a posteriori error estimation is used in two ways. One is that error is added in order to update stress solution. The other is that mesh sub-division is renewed based on the distribution of a posteriori error in the computational domain. Both techniques are useful in this research.
It is already investigated that a posteriori error becomes minimum when all energy norm of error in all elements are the same. With this theory and the results of a posteriori error analysis can give the best finite element model from the view of least error. An integrated finite element system is developed in this research. The use of this integrated finite element system can give us the rational solution.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] 施建剛,北村充,信川寿,大坪英臣: "A Posteriori Error Estimation and Adaptive Mesh Generation in Two-dimensional Elasto-plastic Finite Element Analyses for an Integrated System" 日本造船学会論文集. 180. 463-470 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 北村充,施建剛,信川寿,大坪英臣: "Adaptive Mesh Technique Based on A Posteriori Error Estimation for Two-dimensional Elasto-plastic Finite Element Analyses" 日本造船学会論文集. 179. 303-309 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 北村充,信川寿,施建剛,大坪英臣: "Element-wise A Posteriori Error Estimation and Improvement of Stress Solution for Two-dimensional Elasto-plastic Problems" 日本造船学会論文集. 178. 341-348 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 北村充,信川寿,施建剛,大坪英臣: "二次元非線形弾塑性問題における有限要素解の事後誤差評価" 西部造船会会報. 90. 159-170 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] J.Shi, M.Kitamura, H.Nobukawa & H.Ohtsubo: "A Posteriori Error Estimation and Adaptive Mesh Generation in Two-dimensional Elasto-plastic Finite Element Analyzes for an Integrated System" J.Soc.Naval Architects Japan. Vol.180. 463-470 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Kitamura, J.Shi, H.Nobukawa & H.Ohtsubo: "Adaptive Mesh Technique based on A Posteriori Error Estimation for Two-dimensional Elasto-plastic Finite Element Analyzes" J.Soc.Naval Architects Japan. Vol.179. 303-310 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Kitamura, J.Shi, H.Nobukawa & H.Ohtsubo: "Element-wise A Posteriori Error Estimation and Improvement of Stress Solution for Two-dimensional Elasto-plastic Problems" J.Soc.Naval Architects Japan. Vol.178. 341-348 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Kitamura, J.Shi, H.Nobukawa & H.Ohtsubo: "A Posteriori Error Estimation for 2-Dimensional Non-linear Elastic Problems" Trans.West-Japan Soc.Naval Architects. Vol.90. 171-180 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 北村充,施建剛,信川寿,大坪英臣: "Adaptive Mesh Techniques Based on A Posteriori Error Estimation for Two-dimensional Elasto-plastic Finite Element Analyses" 日本造船学会論文集. 179. 303-309 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 施建剛,北村充,信川寿,大坪英臣: "A Posteriori Error Estimation and Adaptive Mesh Generation in Two-dimensional Elasto-Plastic Finite Element Analyses for an Integrated System" 日本造船学会論文集. 180. 463-470 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 北村充, 信川寿,旋律退剛,大坪英臣: "二次元非線形弾性問題における有限要素解の事後誤差評価" 西部造船会会報. 90. 159-170 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] M. Kitamura, J. Shi, H. nobukawa, H. oshtubo: "Elernent-wise A Posleriori Error Estimation and Inprovement of Strss Solations for Two-Ii mensional Elasto-plastic Pobloing" 日本造船学会論文集. 178. 341-348 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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