Matrix laminate composites: Realizable approximations for the effective moduli of piezoelectric dispersions

L. V. Gibiansky, S. Torquato

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

This paper is concerned with the effective piezoelectric moduli of a special class of dispersions called matrix laminates composites that are known to possess extremal elastic and dielectric moduli. It is assumed that the matrix material is an Isotropi dielectric, and the inclusions and composites are transversely isotropic piezoelectrics that share the same axis of symmetry. The exact expressions for the effective coefficients of such structures are obtained. They can be used to approximate the effective properties of any transversely isotropic dispersion. The advantages of our approximations are that they are (i) realizable, i.e., correspond to specific microstructures; (ii) analytical and easy to compute even in nondegenerate cases; (iii) valid for the entire range of phase volume fractions; and (iv) characterized by two free parameters that allow one to "tune" the approximation and describe a variety of microstructures. The new approximations are compared with known ones.

Original languageEnglish (US)
Pages (from-to)49-63
Number of pages15
JournalJournal of Materials Research
Volume14
Issue number1
DOIs
StatePublished - Jan 1 1999

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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