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Non-collinear interaction of guided elastic waves in plates

Research Project

Project/Area Number 17K14557
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Materials/Mechanics of materials
Research InstitutionToyohashi University of Technology

Principal Investigator

Yosuke Ishii  豊橋技術科学大学, 工学(系)研究科(研究院), 助教 (70781706)

Project Period (FY) 2017-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Keywords三波相互作用 / 板波 / 材料非線形性 / 摂動解析 / 動的有限要素解析 / 超音波非破壊評価 / 薄板構造
Outline of Final Research Achievements

Non-collinear interaction of elastic guided waves in plates due to material nonlinearity has been investigated theoretically, numerically, and experimentally.
Using a perturbation analysis, it has been theoretically shown that the interaction of two monochromatic plane guided waves significantly produces a third wave when the resonance condition is met, i.e., when the wavevector and frequency of third wave coincide with the sum/difference of those of the primary waves. This feature has been found to be valid even when the primary waves have finite beam widths and time durations by numerical simulations with a three-dimensional dynamic finite-element method. Furthermore, these results obtained by the theoretical and numerical studies have been validated experimentally for the interaction in an aluminum alloy plate.

Academic Significance and Societal Importance of the Research Achievements

近年,発電所といった薄板構造からなる大型構造物の高経年化,特に金属疲労が問題視されており,国民の安全性を保障するための超音波非破壊評価の重要性が増している.特に,疲労の早期段階(主き裂発生前の塑性ひずみの蓄積段階)などのように明示的な波動散乱を伴わない場合には従来法による損傷評価が困難であることが指摘されており,それらを検出可能な評価手法の確立が喫緊の課題となっている.本研究で着目した板波の非線形三波相互作用は疲労の早期段階を高感度で捉えられる可能性を秘めており,本研究で得られた知見は今後薄板構造の新しい非破壊評価法を構築する際の理論的基盤になると期待される.

Report

(3 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • Research Products

    (10 results)

All 2018 2017 Other

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Open Access: 1 results) Presentation (7 results) Remarks (1 results)

  • [Journal Article] Finite-element analysis of non-collinear mixing of two lowest-order antisymmetric Rayleigh-Lamb waves2018

    • Author(s)
      Y. Ishii, K. Hiraoka, and T. Adachi
    • Journal Title

      Journal of the Acoustical Society of America

      Volume: 144 Issue: 1 Pages: 53-68

    • DOI

      10.1121/1.5044422

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-collinear interaction of guided elastic waves in an isotropic plate2018

    • Author(s)
      Y. Ishii, S. Biwa, and T. Adachi
    • Journal Title

      Journal of Sound and Vibration

      Volume: 419 Pages: 390-404

    • DOI

      10.1016/j.jsv.2018.01.031

    • NAID

      120006528364

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] 等方性弾性平板中における弾性波の非線形周波数ミキシングに関する理論的および数値的検討2018

    • Author(s)
      石井 陽介,平岡 紘一,足立 忠晴
    • Organizer
      日本材料学会第67期学術講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 平板を伝わる弾性波の非線形周波数ミキシングの理論的・数値的検討2018

    • Author(s)
      石井 陽介, 足立 忠晴
    • Organizer
      日本非破壊検査協会 平成29年度第3回応力・ひずみ測定部門講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 等方性弾性平板における非線形三波相互作用の理論解析と数値シミュレーション2018

    • Author(s)
      石井 陽介,琵琶 志朗,平岡 紘一,足立 忠晴
    • Organizer
      第25回 超音波による非破壊評価シンポジウム
    • Related Report
      2017 Research-status Report
  • [Presentation] 板波の非線形三波相互作用に関する理論的検討2017

    • Author(s)
      石井 陽介,琵琶 志朗,足立 忠晴
    • Organizer
      第54回 日本航空宇宙学会 関西・中部支部合同秋期大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 等方性弾性平板における非線形三波相互作用の数値解析2017

    • Author(s)
      平岡 紘一,石井 陽介,足立 忠晴
    • Organizer
      日本機械学会 M&M2017 材料力学カンファレンス
    • Related Report
      2017 Research-status Report
  • [Presentation] 等方性弾性平板における非線形三波相互作用の理論的検討2017

    • Author(s)
      石井 陽介
    • Organizer
      振動談話会第4回若手研究交流会
    • Related Report
      2017 Research-status Report
  • [Presentation] Analysis of acoustic second-harmonic generation in a multilayered structure with nonlinear interfaces2017

    • Author(s)
      Y. Ishii and T. Adachi
    • Organizer
      3rd International Workshop on Advanced Dynamics and Model Based Control of Structures and Machines
    • Related Report
      2017 Research-status Report
  • [Remarks] RESEARCH GROUP OF Prof ADACHI AND ISHII

    • URL

      http://solid.me.tut.ac.jp/struct/

    • Related Report
      2017 Research-status Report

URL: 

Published: 2017-04-28   Modified: 2020-03-30  

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