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Proposal and Examination of Numerical-Experimental Hybrid Inversion Analysis Schemes Relevant to Potential Problems in Solid Mechanics

Research Project

Project/Area Number 02302038
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 材料力学
Research InstitutionOsaka University

Principal Investigator

KUBO Shiro  Osaka University, Faculty of Engineering, Professor, 工学部, 教授 (20107139)

Co-Investigator(Kenkyū-buntansha) AOKI Shigeru  Tokyo Institute of Technology, Faculty of Engineering, Professor, 工学部, 教授 (90016436)
MIYA Kenzo  University of Tokyo, Faculty of Engineering, Professor, 工学部, 教授 (30011191)
KAGAWA Yukio  Okayama University, Faculty of Engineering, Professor, 工学部, 教授 (10019200)
ABE Hiroyuki  Tohoku University, Faculty of Engineering, Professor, 工学部, 教授 (00005266)
OHJI Kiyotsugu  Osaka University, Faculty of Engineering, Professor, 工学部, 教授 (20028939)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥9,300,000 (Direct Cost: ¥9,300,000)
Fiscal Year 1991: ¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 1990: ¥5,800,000 (Direct Cost: ¥5,800,000)
KeywordsInverse Problems / Non-Destructive Inspection / Crack Identification / Force Identification / Regularization / Boundary Value Identification / Boundary Element Method / Governing-Equation Identification
Research Abstract

Numerical-experimental hybrid inversion analysis schemes were developed and examined. Various kinds of domain/boundary inverse problems, boundary value inverse problems, force inverse problems, material properties inverse problems, and governing equation inverse problems were treated with special emphasis on regularization of the inversion analyses. The main conclusions obtained are summarized as follows.
1. Electric potential method was applied to the measurement of three-dimensional cracks and defects. From simulations and experiments it was found that the method can be applied to the measurement of cracks in small specimens. Efficient inversion schemes were developed, and assessment of their applicability was made. A method was proposed to estimate stress intensity factor using an A. C. electric potential reading.
2. Finite element. programming was made for analyzing eddy current electromagnetic fields. Its applicability to the measurement of cracks using eddy current was examined.
3. … More Electric current fields and temperature fields near cracks were discussed. Thermography was applied to the detection and measurement of defects.
4. Several schemes were proposed and examined for estimating displacements and tractions in contact region. Discussion was made on the ill-posedness of the boundary value inverse problems.
5. Estimation of boundary values in Galvanic Corrosion was made. Clustering techniques were applied and were found useful in the estimation. Optimization of cathodic protection was made.
6. Estimation of boundary values in transient heat conduction was made using boundary element discretization.
7. Source identification in wave equation was made using boundary element formulation.
8. Acoustic CT (computed tomography) was examined with several regularizing schemes. Schemes were proposed to estimate material properties of a discrete system.
9. A scheme was proposed for estimating governing equation from observations.
Proposed inversion schemes were applied successfully to treat various kinds of inverse problem. These are expected to give foundations for other inverse analyses. Less

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (77 results)

All Other

All Publications (77 results)

  • [Publications] 久保 司郎: "場の問題の支配微分方程式を推定する方法の提案" 日本機械学会論文集(A編). 57. 2250-2256 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 久保 司郎: "離散系の材料特性値逆問題に対する解析手法" 日本機械学会論文集(A編). 57. 2257-2263 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 久保 司郎: "数式処理を用いた逆問題の不適切性判別法と適切への適用性" 日本機械学会講演論文集. No.914ー3. 69-71 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 久保 司郎: "渦剰規定境界条件あるいは内部付加条件を用いた境界値逆問題における解の一意性に関する考察" 日本機械学会講演論文集. No.910ー71. 289-291 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 坂 真澄: "交流電位差法による三次元表面き裂の応力拡大係数計測" 日本機械学会論文集(A編). 57. 2222-2229 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 坂 真澄: "分岐き裂回りの電流場に誘起される磁場の解析" 日本機械学会論文集(A編). 58. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 佐藤 茂: "音響追跡モデルによる超音波CT" 第11回シミュレ-ション・テクノロジ-・コンファレンス. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 村井 忠邦: "長波長音波を用いた音響インピ-ダンス分布推定のシミュレ-ション" 日本機械学会講演論文集. No.914ー3. 7-9 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T.Takagi: "3-D Eddy Current Analysis Using T-Method and Its Application to Non-Destructive Testing" Proceedings of 13th World Congress on Computation and Applied Mathematics. 1632-1633 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T.Takagi: "Numerical Analsis and Experiment of a Problem in Eddy Current Testing "Coil above a Crack"" Proceedings of Asian TEAM Workshop and International Applied Electromagnetics. 21-27 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 天谷 賢治: "カソ-ド防食最適化問題への3次元境界要素法の適用" 材料. 40. 1390-1395 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 青木 繁: "境界要素による弾性接触逆問題解析" 日本機械学会講演論文集. No.914ー3. 25-27 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Aoki: "Boundary Element Inverse Analysis of Corrosion Problems" IUTAM Symposium on Inverse Problems in Engineering Sciences. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 大江 貴司: "境界要素法を用いたポアソン方程式のソ-ス逆問題の数値解法" 日本機械学会講演論文集. No.910ー71. 43-45 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T.Ohe: "Boundary Element Approach for an Inverse Source Problem of Poisson Equation with a One-point Mass like Model" J.Computational Applied Mathematics.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 田中 正隆: "境界要素法を用いた非定常熱伝導場における未知境界値の推定" 境界要素法論文集. 8. 29-34 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 田中 正隆: "境界要素法を用いた非定常熱伝導逆問題解析(時間依存の未知境界値同定法に関する検討)" 日本機械学会講演論文集. No.910ー71. 40-42 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 阪上 隆英: "通電時の非定常特異温度場計測による3次元表面き裂同定" 日本機械学会講演論文集. No.914ー3. 13-15 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 小倉 敬二: "誘導ならびに遠赤外線加熱時のサ-モ画像に基づくCFRPの欠陥検出" 日本機械学会講演論文集. No.910ー71. 206-208 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] KUBO, Shiro: ""Proposal of a Scheme for Governing-Equation Inverse Problems"" Trans. of Japan Soc. Mech. Eng.Ser. A, 57. 2250-2256 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] KUBO, Shiro: ""Inverse Analysis Schemes for Material-Property Inverse Problems of Discrete Systems"" Trans. of Japan Soc. Mech. Eng.Ser. A, 57. 2257-2263 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] KUBO, Shiro: ""Classification of Ill-condition of Inverse Analyses Using Symbolic Manipulation and Its Applicability to Regularization"" Preprint of Japan Soc. Mech. Eng.No. 914-3. 69-71 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] KUBO, Shiro: ""Discussion of Uniqueness Requirements of Solution of Boundary-Value Inverse Analyses from Over-Prescribed Conditions or Internal Information"" Preprint of Japan Soc. Mech. Eng.No. 910-71. 289-291 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] SAKA, Masumi: ""Evaluation of Stress Intensity Factor for a 3-D SUrface Crack by Means of A. C. Potential Drop Technique"" Trans. of Japan Soc. Mech. Eng.Ser. A, 57. 2222-2229 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] SAKA, Masumi: ""Analysis of magnetic Field Induced by Current Flow around a Bifurcated Crack"" Trans. of Japan Soc. Mech. Eng.Ser. A 58. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] SATO, Shigeru: ""Acounstic CT by an Acoustic Trace Model"" 11th Simulation Technology Conf.(1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] MURAI, Tadakuni: ""Simulation of Acoustic Impedance Estimation by using Sound Wave with Long Wavelength"" Preprint of Japan Soc. Mech. Eng.No. 914-3. 7-9 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] TAKAGI, Toshiyuki: ""3-D Eddy Current Analysis Using T-Method and Its Application to Non-Destructive Testing"" Proc. 13th World Congr. Computation and Mathematics. 1332-1333 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] TAKAGI, Toshiyuki: ""Numerical Analysis and Experiment of a Problem in Eddy Current Testing "Coil above a Crack"" Proc. Asian TEAM Workshop and Int. Applied Electromagnetics. 21-27 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] AMAYA, Kenji: ""Application of 3-D BEM to Optimization of Cathodic Protection System"" J. Soc. Mater. Sci., Japan. 40. 1390-1395 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] AOKI, Shigeru: ""Boundary Element Inverse Analysis of Corrosion Problems"" IUTAM Symp. Inverse Problems in Eng. Sci.(1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] OHE, Takashi: ""Boundary Element Approach for an Inverse Source Problem of Poisson's Equation"" Preprint of Japan Soc. Mech. Eng.No. 914-3. 43-45 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] OHE, Takashi: ""Boundary Element Approach for an Inverse Source Problem of Poisson Equation with One-point Mass Like Model"" J. Computational Applied Math.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] TANAKA, Masataka: ""Estimation of Unknown Boundary Values in Transient Heat Conduction Problems by the Boundary Element Method"" JASCOME 8th Symp. on BEM's. 29-34 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] TANAKA, Masataka: ""Estimation of Unknown Boundary Values in Transient Heat Conduction Problems by Inverse Analysis Using the Boundary Element Method"" Preprint of Japan Soc. Mech. Eng.No. 914-3. 40-42 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] SAKAGAMI, Takahide: ""3-D Crack Identification Using Singular Transient Temperature DIstribution Under Current Application"" Preprint of Japan Soc. Mech. Eng.No. 914-3. 13-15 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] OGURA, Keiji: ""Thermographical Defect Inspection of CFRP with Induction and Far-IF Heating"" Preprint of Japan Soc. Mech. Eng.No. 910-71. 206-208 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 久保 司郎: "場の問題の支配微分方程式を推定する方法の提案" 日本機械学会論文集(A編). 57. 2250-2256 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 久保 司郎: "離散系の材料特性値逆問題に対する解析手法" 日本機械学会論文集(A編). 57. 2257-2263 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 久保 司郎: "数式処理を用いた逆問題の不適切性判別法と適切化への適用性" 日本機械学会講演論文集. No.914ー3. 69-71 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 久保 司郎: "過剰規定境界条件あるいは内部付加条件を用いた境界値逆問題における解の一意性に関する考察" 日本機械学会講演論文集. No.910ー71. 289-291 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 坂 真澄: "交流電位差法による三次元表面き裂の応力拡大係数計測" 日本機械学会論文集(A編). 57. 2222-2229 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 嘉納 豊: "直流電位差法による三次元き裂の形状評価法の提案" 日本機械学会論文集(A編). 58. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 坂 真澄: "分岐き裂回りの電流場に誘起される磁場の解析" 日本機械学会論文集(A編). 58. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 佐藤 茂: "音響追跡モデルによる超音波CT" 第11回シミュレ-ション・テクノロジ-・コンファレンス. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 村井 忠邦: "長波長音波を用いた音響インピ-ダンス分布推定のシミュレ-ション" 日本機械学会講演論文集. No.914ー3. 7-9 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] T.Takagi: "3ーD Eddy Current Analysis Using TーMethod and lts Application to NonーDestructive Testing" Proceedings of 13th World Congress on Computation and Applied Mathematics. 1632-1633 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] T.Takagi: "Numerical Analysis and Experiment of a Problem in Eddy Current Testing “Coil above a Crack"" Proceedings of Asian TEAM Workshop and International Applied Electromagnetics. 21-27 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 天谷 賢治: "カソ-ド防食最適化問題への3次元境界要素法の適用" 日本機械学会講演論文集. No.910ー71. 476-478 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 青木 繁: "境界要素法による弾性接触逆問題解析" 日本機械学会講演論文集. No.914ー3. 25-27 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] S.Aoki: "Boundary Element Inverse Analysis of Corrosion Problems" IUTAM Symposium on Inverse Problems in Engineering Problems. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 大江 貴司: "境界要素法を用いたポアソン方程式のソ-ス逆問題の数値解法" 日本機械学会講演論文集. No.910ー71. 43-45 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] T.Ohe: "Boundary Element Approach for an Inverse Source Problem of Poisson Equation with a Oneーpoint Mass like Model" J.Computational Applied Mathematics.

    • Related Report
      1991 Annual Research Report
  • [Publications] 田中 正隆: "境界要素法を用いた非定常熱伝導場における未知境界値の推定" 境界要素法論文集. 8. 29-34 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 田中 正隆: "境界要素法を用いた非定常熱伝導逆問題解析(時間依存の未知境界値同定法に関する検討)" 日本機械学会講演論文集. No.910ー71. 40-42 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 阪上 隆英: "通電時の非定常特異温度場計測による3次元表面き裂同定" 日本機械学会講演論文集. No.914ー3. 13-15 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 小倉 敬二: "誘導ならびに遠赤外線加熱時のサ-モ画像に基づくCFRPの欠陥検出" 日本機械学会講演論文集. No.910ー71. 206-208 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 久保 司郎: "場の問題の支配微分方程式を推定する方法の提案" 日本機械学会講演論文集. No.900ー69. 81-82 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 久保 司郎: "関数近似と推定誤差規準との組合せに基づく接触面力の同定に関する逆問題解析手法" 日本機械学会講演論文集. No.900ー86. 670-672 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 久保 司郎: "支配方程式推定逆問題の取扱いに関するひとつの試み" 第14回NCP研究会・機械の強度と形態研究懇話会シンポジウム論文集. 118-120 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 坂 真澄: "き裂計測における交流電位差の負荷荷重依存性の理論解析" 日本機械学会論文集(A編).

    • Related Report
      1990 Annual Research Report
  • [Publications] 湯浅 大二郎: "直流電位差法によるき裂評価の微小試験片への適用" 日本機械学会講演論文集. No.900ー59. 523-525 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] M.Saka: "Nondestructive Characterization of Bifurcated Crack by Potential Drop Method" 5th Int.Symp.Nondestructive Characterization of Materials. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] Y.Kagawa: "Flaw Detection in Steel Plates by Means of Barkhausen Effect" Int.J.Applied Electromagnetics in Materials. 1. 217-226 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 村井 忠邦: "長波長散乱波による形状同定数値シミュレ-ション" 日本音響学会誌. 46. 905-913 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Takagi: "Experimental Verification of 3ーD Eddy Current Analysis Code Using TーMethod" IEEE Trans.on Magnetics. 26. 474-477 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Takagi: "3ーD Numerical Simulation of Eddy Current Testing of a Block with a Crack" Review of Progress in Quntitative Nondestructive Evaluation. 9. 323-334 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 杉浦 壽彦: "超電導発電機ダンパの三次元渦電流解析" 電気学会論文誌D. 110. 997-1004 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 青木 繁: "クラスタリングによるガルバニック腐食逆問題解析" 材料. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 青木 繁: "境界要素法によるガルバニック腐食逆問題の解析(種々の適切化とクラスタリング手法の適用)" 境界要素法論文集. 7. 165-170 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 天谷 賢治: "カソ-ド防食システムにおける電極位置の最適化" 日本機械学会論文集(A編). (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] K.Ohnaka: "Boundary Element Approach for Identification of the External Forces in the Scalar Wave Equations" Appl.Math.Modelling. 15. 46-50 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] K.Ohnaka: "Identification of the External Force of Wave Equations from Noisy Observations" Proc.of Inverse Problems in Engineering Sciences. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 田中 正隆: "非定常熱伝導問題の時間ステップ境界要素法解析" 境界要素法論文集. 7. 93-98 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 田中 正隆: "時間ステップ境界要素法の非定常熱伝導問題への応用(2次元の場合)" 日本機械学会第68期通常総会講演会講演論文集. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 阪上 隆英: "サ-モグラフィによる欠陥評価法の数値シミュレ-ション" 日本機械学会講演論文集. No.900ー59. 532-534 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 小倉 敬二: "画像処理援用サ-モグラフィによるCFRPの欠陥形状測定" 日本機械学会関西支部第66期定時総会講演会講演論文集. (1991)

    • Related Report
      1990 Annual Research Report

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Published: 1990-04-01   Modified: 2016-04-21  

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