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2005 Fiscal Year Final Research Report Summary

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
Keywordspiezoelectric ceramics / damage mechanics / fracture analysis / local approach of fracture / resonance frequency / electromechanical coupling coefficient / electric loading / aging
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.

  • Research Products

    (6 results)

All 2005

All Journal Article (6 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

    • Description
      「研究成果報告書概要(和文)」より
  • [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
  • [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)

    • Description
      「研究成果報告書概要(和文)」より
  • [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

    • Description
      「研究成果報告書概要(欧文)」より
  • [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
  • [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)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2007-12-13  

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