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Development of a solver system for an inverse problem of defect shape determination with elastic wave

Research Project

Project/Area Number 04555108
Research Category

Grant-in-Aid for Developmental Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field 土木構造
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

NISHIMURA Naoshi  Kyoto Univ.Eng., Instructor, 工学部, 助手 (90127118)

Co-Investigator(Kenkyū-buntansha) YANAGIDANI Takashi  Nihon Univ.J.College, Assoc.Professor, 短期大学部, 助教授 (00259128)
KOBAYASHI Shoichi  Kyoto Univ.Eng., Professor, 工学部, 教授 (90025908)
Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 1993: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1992: ¥2,300,000 (Direct Cost: ¥2,300,000)
Keywordsdefect / crack / inverse problem / BIEM / elastic wave / ultrasonics / 形状決定 / 積分方程式
Research Abstract

1. Development of a workstation code for the time domain elastodynamic crack determination with BIEM
We could develop computer codes for 2 and 3 dimensional time domain elastodynamic crack determination problems with BIEM.These codes are found to run fast on a portable workstation. The investigation of this subject made more progress than planned ; actually, we proceeded to the crack determination problems where the crack has many geometrical degrees of freedom. At this moment we can solve 2 and 3 dimensional crack determination problems for the wave equation with the collocation BIEM, rather than the variational one. In 2D problems, in particular, we can determine quite complicated crack shapes with the help of the Tikhonov regularisation. We now plan to extend these studies to elastodynamics including anisotropic cases, which are important in the non-destructive evaluation of composite materials.
2. Measurement of scattered waves from a crack
An ultrasonic measurement is carried out with a circular duralumin test piece using PZT transducers. The measurement is of the pitch-catch type. We first made the experiment first with an intact specimen, and then repeated the same experiment with the same specimen but with a saw cut. We tried to convert the output voltage from the transducer into displacements by using Fourier transform, but the resolution was not satisfactory. A similar trial with a semi-conductor strain gauge was not very successful, either. We therefore decided to use a statistical method to reconstruct the crack from the transducer output. We plan to continue this investigation looking into the possibility of using laser measurements.
3. Inversion of the experimental data
The data obtained in 2. was processed statistically to determine the location of the crack, with a moderate success. The use of the BIEM for the inversion, however, needs more investigation.

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (15 results)

All Other

All Publications (15 results)

  • [Publications] 西村直志: "クラック決定問題への積分方程式法の適用" 第2回地下き裂キャラクタリゼーションワークショップ論文集. 120-123 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Nishimura: "Application of BIEM to elastodynamic crack determination problems" Proc.5th Japan-China Symp.BEM. 181-186 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Nishimura: "A boundary integral equation method for solving elastodynamic crack determination problems" Proc.2nd Int.Conf.Math.Num.Aspects of Wave Propagation. 390-397 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Nishimura: "Determination of curved cracks with BIEM" Proc.PCCE'93. 49-52 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 西村直志: "積分方程式法による3次元動弾性クラック決定問題の解法" 境界要素法論文集. 10. 137-142 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Nishimura: "Application of BIEM to crack determination problems (in Japanese)" Proc.2nd workshop on the characterisation of underground cracks. 120-123 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Nishimura: "Application of BIEM to elastodynamic crack determination problems" Proc.5th Japan-China Symp.BEM, Elsevier. 181-186 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Nishimura: "A boundary integral equation method for solving elastodynamic crack determination problems" Proc.2nd Int.Conf.Mathematical and Numerical Aspects of Wave Propagation, SIAM. 390-397 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Nishimura: "Determination of curved cracks with BIEM" Proc.PCCE'93, Elsevier. 49-52 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Nishimura: "Solution of 3D elastodynamic crack determination with BIEM" Proc.Japan. Nat.Symp.BEM. 10. 137-142 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Nishimura: "A boundary integral equation method for solving elastodynamic crack determination problems" Proc.2nd Int.Conf.Math.and Num.Aspects of Wave propagation. 390-397 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 西村直志・小林昭一: "積分方程式法による3次元動弾性クラック決定問題の解法" 境界要素法論文集. 10. 137-142 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Nishimura & S.Kobayashi: "Application of BIEM to elastodynamic crack determination problems" Proc.5th Japan-China Symp.BEM. 181-186 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Nishimura,Y.Kikuta & S.Kobayashi: "Determination of Curved cracks with BIEM" Proc.PCCE'93. 49-52 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Nishimura: "A Boundary Integral Equation Method for solving Elastodynamic Crack Determination Problems" Proc.2nd Int.Conf.Mathematical and Numerical Aspects of Wave Propagation.

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2021-12-14  

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