On the use of homogenization theory to design optimal piezocomposites for hydrophone applications

L. V. Gibiansky, S. Torquato

Research output: Contribution to journalArticle

75 Scopus citations

Abstract

We consider an optimal design of composite hydrophones consisting of parallel piezoelectric PZT rods that are embedded in a porous polymer matrix. Given the material properties of the polymer and PZT ceramic, we have optimally designed the piezocomposite to maximize the hydrostatic coupling factor, hydrophone figure of merit, or electromechanical coupling factor, using the methods of homogenization theory. The optimal composite is obtained by using a two-step procedure: (i) first we find the ideal structure of the matrix material by weakening the polymer by an optimal arrangement of pores, and (ii) then we embed the PZT rods in this matrix. The design parameters are the shape, volume fraction, and spatial arrangement of the piezoceramic rods, and the structure of the matrix material. It turns out that the optimal matrix is highly anisotropic and is characterized by negative Poisson's ratios in certain directions. The optimal composites possess performance characteristics that are significantly higher than those of a piezocomposite with an isotropic polymer matrix. The results can be viewed as theoretical upper bounds on the hydrophone performance.

Original languageEnglish (US)
Pages (from-to)689-708
Number of pages20
JournalJournal of the Mechanics and Physics of Solids
Volume45
Issue number5
DOIs
StatePublished - May 1997

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • A. electromechanical processes
  • B. anisotropic material
  • B. piezoelectric material
  • C. homogenization
  • C. optimization

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