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Analysis of wave propagation in anisotropic materials and application to NDE

Research Project

Project/Area Number 09650527
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 構造工学・地震工学
Research InstitutionTokyo Institute of Technology (1998-1999)
Okayama University (1997)

Principal Investigator

HIROSE Sohichi  Tokyo Institute of Technology, Graduate School of Information Sci. and Eng., Professor, 大学院・情報理工学研究科, 教授 (00156712)

Co-Investigator(Kenkyū-buntansha) 廣瀬 壮一  東京工業大学, 大学院・情報理工学研究科, 教授 (00156712)
Project Period (FY) 1997 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 1999: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1998: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1997: ¥1,700,000 (Direct Cost: ¥1,700,000)
Keywordsanisotropic media / scattering / boundary element method / fundamental solution / NDE / angled beam ultrasonic testing / numerical simulation / 異方性 / 入射パターン / 散乱解析 / き裂 / 超音波実験 / 定量的非破壊評価 / 異方弾性体 / 波動解析 / 可視化 / 散乱パターン / グリーン関数 / 選点法 / ガラーキン法 / 水浸超音波法
Research Abstract

Dynamic behaviors of elastic waves in anisotropic media are much different from those in isotropic media since elastic wave speeds depend on the directions of wave propagation. It is, therefore, necessary to develop the analysis for scattering and propagation of elastic waves for quantitative ultrasonic nondestructive evaluation for anisotropic materials. In this paper, numerical and experimental approaches are pursued to investigate the effect of anisotropy on the characteristics of elastic waves and are applied to the ultrasonic testing to detect quantitatively a defect in a thick anisotropic plate. The main results are obtained as follows: 1. The program code is developed to analyze the dynamic behaviors of elastic waves by a volumetric defect in an anisotropic solid of infinite extent. The method is based on a time domain boundary integral equation in conjunction with a collocation point method. Numerical results are visualized for scattering and propagation around defects subjected to various conditions of incident waves and material constants. 2. A boundary integral equation method is also developed for the scattering problem by a crack in an anisotropic solid, where the hypersingular integrals are regularized using the Galerkin method. 3. Ultrasonic experiments with angled beam transducers are carried out for a thick steel plate with artificial cylindrical defects. It is shown that as the incident wave angle increases, the effect of anisotropy increases, which implies that the accuracy of the nondestructive testing may decrease unless appropriate remedy is given. 4. All processes of ultrasonic experiments including incidence, scattering and radiation are numerically simulated. Good agreement is obtained between theory and experiment, which will give useful information for quantitative ultrasonic evaluation for anisotropic materials.

Report

(4 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • 1997 Annual Research Report
  • Research Products

    (23 results)

All Other

All Publications (23 results)

  • [Publications] S. Hirose: "Crack analysis in an anisotropic elastic solid"Proc. of the KIST-NTU-KU Tri-lateral Seminar on Civil Eng.. 57-62 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 廣瀬壮一: "積分方程式による超音波散乱のシミュレーションと逆解析"非破壊検査. 47. 300-306 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 廣瀬壮一,桂健太郎: "異方性材料中の様々な欠陥による散乱特性"応用力学論文集. 2. 119-125 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 廣瀬壮一: "異方弾性体中のき裂に対する動的解析"境界要素法論文集. 16. 13-17 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Shirose, K. Katsura: "Elastic wave scattering by various defects in anisotropic materials"Review of Progress in Quantitative Nondestructive Evaluation. 19(in print). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 桂健太郎,廣瀬壮一: "弾性波動の散乱に及ぼす異方性の影響"第27回関東支部技術研究発表会講演概要集,土木学会. 60-61 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Hirose: "Crack analysis in an anisotropic elastic solid"Proc. of 7th KAIST-NTU-KU Tri-Lateral Seminar/Workshop on Civil Engineering. 57-62 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Hirose: "Simulation of ultrasonic wave scattering and inverse analysis using integral equations"J. Japanese Soc. Non-destructive Inspection. 47. 300-306 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Hirose and K. Katsura: "Scattering characteristics by various defects in anisotropic materials"J. Appl. Mech, JSCE 2. 119-125 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Hirose: "Dynamic analysis for a crack in anisotropic elastic solid"Proc. 16th Japan National Symp. on Boundary Element Methods, JACOME. 16. 13-17 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Hirose and K. Katsura: "Elastic wave scattering by various defects in anisotropic materials"Review of Progress in Quantitative Nondestructive Evaluation 19. (in print). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Katsura and S. Hirose: "Effect of material anisotropy on scattering of elastic waves"Proc. 27th Annual Meeting of the JSME Kanto Brunch. 60-61 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 廣瀬 壮一、桂健太郎: "異方性材料中の様々な欠陥による散乱特性"応用力学論文集. 第2巻. 119-125 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 廣瀬壮一: "異方弾性体中のき裂に対する動的解析"境界要素法論文集. 第16巻. 13-17 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] S.Hirose and K.Katsura: "Elastic wave scattering by various defects in anisotropic materials"Review of Progress in Quantitative Nondestructive Evaluation. 第19巻. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 桂健太郎,廣瀬壮一: "異方性材料中の欠陥による弾性波の散乱について"土木学会第54回年次学術講演会講演概要集 第1部(A). 64-65 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 桂健太郎,廣瀬壮一: "弾性波動の散乱特性に及ぼす異方性の影響"第27回土木学会関東支部技術研究発表会概要集. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 小林昭一,福井卓雄,北原道弘,西村直志,廣瀬壮一: "波動解析と境界要素法"京大出版会. 338 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 廣瀬 壮一: "積分方程式による超音波散乱のシミュレーションと逆解析" 非破壊検査. Vol.47. 300-306 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Sohichi HIROSE: "Crack analysis in an anisotropic elastic solid" Proc.of 3rd meeting of meso-mechanical Aspects of material strength and fracture. 139-145 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 廣瀬壮一,桂 健太郎: "異方性材料中の欠陥による弾性波の散乱について" 日本非破壊検査協会平成11年度春季大会講演概要集. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Hirose: "Crack analysis in an anisotropic elastic solid" Proc.of 7th KAIST-NTU-KU Tri-Lateral seminar/Workshop on Civil Engineering. 57-62 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 久保博司: "応力拡大係数に及ぼす材料異方性の影響" 土木学会第52回年次学術講演会講演概要集. I-A. (1997)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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