A Proposal for Optimization of Crystal Orientations in Piezoelectric Ceramics by Multiscale Finite Element Analysis through Crystallographic Homogenization Method

• UETSUJI Yasutomo

  Department of Mechanical Engineering, Osaka Institute of Technology

• HORIO Mitsuteru

  Graduate School of Engineering, Osaka Institute of Technology

• TSUCHIYA Kazuyoshi

  Department of Precision Engineering, Tokai University

• NAKAMACHI Eiji

  Department of Mechanical Engineering, Osaka Institute of Technology

Abstract

Polycrystalline piezoelectric ceramics have a large possibility to exhibit higher performance in a macroscopic scale by design of crystal morphology in a microscopic scale. In this paper, a multi-scale finite element method by using crystallographic homogenization theory has been applied to a typical piezoelectric ceramics, barium titanate (BaTiO₃) in order to estimate macroscopic properties considering microscopic crystal morphology. Then, microscopic crystal orientation distribution has been optimized by steepest decent method to maximize macroscopic piezoelectric strain constant d₃₃₃. Computational results indicated that BaTiO₃ polycrystal consisting of three layers with different crystal orientations has the highest piezoelectric performance d₃₃₃=258 pC/N, that is beyond single crystal because of mechanical effect in microscopic inhomogeneous structure.

Journal

• Journal of Solid Mechanics and Materials Engineering

  Journal of Solid Mechanics and Materials Engineering 1 (9), 1147-1156, 2007

  The Japan Society of Mechanical Engineers

Keywords

• Computational Mechanics
• Multiscale Finite Element Method
• Piezoelectric Ceramics
• Optimum Design
• Homogenization Method
• Crystal Orientation

Details

• CRID: 1390001205263720064
• NII Article ID: 130000078985
• DOI: 10.1299/jmmp.1.1147
• ISSN: 18809871
• Web Site: http://www.jstage.jst.go.jp/article/jmmp/1/9/1_9_1147/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed