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Development of fracture analysis of piezoelectric ceramics based on the continuum damage mechanics

Research Project

Project/Area Number 15560078
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Materials/Mechanics of materials
Research InstitutionAkita Prefectural University

Principal Investigator

MIZUNO Mamoru  Akita Prefectural University, Department of Machine Intelligence and Systems Engineering, Professor, システム科学技術学部, 教授 (70239250)

Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2005: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2004: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2003: ¥1,100,000 (Direct Cost: ¥1,100,000)
Keywordspiezoelectric ceramics / damage mechanics / fracture analysis / local approach of fracture / resonance frequency / electromechanical coupling coefficient / electric loading / aging / 連続体損傷力学 / 圧電定数 / 積層型圧電アクチュエーター / 破壊開始時間 / 有限差分法 / 非破壊検査 / 構成式 / 損傷発展式 / 分域反転 / 圧電アクチュエーター / き裂進展 / 弾性係数
Research Abstract

Variation of material properties of piezoelectric ceramics under cyclic electric loading was evaluated experimentally. A resonance and an anti-resonance frequencies and a capacitance were measured by an impedance analyzer, then an electromechanical coupling coefficient, a permittivity, an elastic constant and a piezoelectric constant were estimated.
An electric field with a frequency among 0.1 to 2 kHz was applied to a specimen of lead zirconate titanate (PZT) systematically. Then the dependence of the variation on the range and mean electric field, compressive stress due to the displacement constraint and frequency of negative AC electric field was clarified.
An electric field with the resonance frequency was also applied to a specimen and an internal stress in the center of the specimen was estimated by the AC current. It was found that the electromechanical coupling coefficient and the piezoelectric constant of lead titanate specimen were decreased significantly when the internal stress was the largest.
A piezoelectric constitutive equation and a damage evolution equation were applied to the double cantilever beam model, and a simplified analysis of crack growth was performed by a local approach of fracture based on the continuum damage mechanics. The effects of the space discretizing size in the numerical analysis and the phase difference between mechanical and electric loading on the crack growth behavior were elucidated.
A coupled analysis of stress-electric-damage field for a unit cell associated with multilayer piezoelectric actuators was performed by a finite difference method using the piezoelectric constitutive equation and the damage evolution equation. Then distribution of stress and electric field depending on the damage development, relation between crack initiation time and applied electric field and crack initiation point near the electrode were clarified.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (12 results)

All 2005 Other

All Journal Article (10 results) Publications (2 results)

  • [Journal Article] 二重片持ちはりモデルによる圧電セラミックスの簡易定常き裂進展解析2005

    • Author(s)
      水野衛, 本多祥徳, 加藤弘志
    • Journal Title

      材料 54・4

      Pages: 428-433

    • NAID

      110006266514

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Simplified Analysis of Steady State Crack Growth of Piezoelectric Ceramics Based on the Continuum Damage Mechanics2005

    • Author(s)
      M.MIZUNO, Y.HONDA
    • Journal Title

      Acta Mechanica 179・3,4

      Pages: 157-168

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Simplified Crack Initiation Analysis of Piezoelectric Ceramics under Cyclic Loading2005

    • Author(s)
      M.MIZUNO, T.SHIMOMURA
    • Journal Title

      Proceedings of the 11th International Conference on Fracture N/A(CD-ROM)

    • NAID

      130002085973

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A Simplified Analysis of Crack Growth in a Steady State of Piezoelectric Ceramics by the Double Cantilever Beam Model2005

    • Author(s)
      M.MIZUNO, Y.HONDA, H.KATO
    • Journal Title

      Journal of the Society of Materials Science, Japan Vol.54-No.4

      Pages: 428-433

    • NAID

      110006266514

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Simplified Analysis of Steady State Crack Growth of Piezoelectric Ceramics Based on the Continuum Damage Mechanics2005

    • Author(s)
      M.MIZUNO, Y.HONDA
    • Journal Title

      Acta Mechanica Vol.179-No.3,4

      Pages: 157-168

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Simplified Crack Initiation Analysis of Piezoelectric Ceramics under Cyclic Loading2005

    • Author(s)
      M.MIZUNO, T.SHIMOMURA
    • Journal Title

      Proceedings of the 11th International Conference on Fracture (CD-ROM)

    • NAID

      130002085973

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Simplified Analysis of Steady State Crack Growth of Piezoelectric Ceramics Based on the Continuum Damage Mechanics2005

    • Author(s)
      Mamoru MIZUNO, Yoshinori HONDA
    • Journal Title

      Acta Mechanica 179・3,4

      Pages: 157-168

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 二重片持ちはりモデルによる圧電セラミックスの簡易定常き裂進展解析2005

    • Author(s)
      水野 衛, 本多祥徳, 加藤弘志
    • Journal Title

      材料 54・4

      Pages: 428-433

    • NAID

      110006266514

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 二重片持ちはりモデルによる圧電セラミックスの簡易定常き裂進展解析2005

    • Author(s)
      水野 衛
    • Journal Title

      材料 54・4(印刷中)

    • NAID

      110006266514

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Simplified Crack Initiation Analysis of Piezoelectric Ceramics under Cyclic Loading2005

    • Author(s)
      Mamoru MIZUNO
    • Journal Title

      Proceedings of the 11th International Conference on Fracture (CD-ROM)

    • NAID

      130002085973

    • Related Report
      2004 Annual Research Report
  • [Publications] 水野 衛: "圧電セラミックスの疲労損傷を考慮した構成式と損傷発展式の定式化"日本機械学会論文集 A編. 70・689. 70-75 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Mamoru MIZUNO: "Analysis of Crack Initiation of Piezoelectric Ceramics by a Simplified Model under Mechanical and Electrical Loadings"Proceedings of the 9th International Conference on the Mechanical Behaviour of Materials. (in CD-ROM). (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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