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

Published online by Cambridge University Press:  26 July 2012

L. V. Gibiansky  and
S. Torquato
L. V. Gibiansky
Affiliation:
Department of Civil Engineering and Operations Research and Princeton Materials Institute, Princeton University, Princeton, New Jersey 08544
S. Torquato
Affiliation:
Department of Civil Engineering and Operations Research and Princeton Materials Institute, Princeton University, Princeton, New Jersey 08544
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Extract

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 isotropic 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.

Type
Articles
Information
Journal of Materials Research , Volume 14 , Issue 1 , January 1999 , pp. 49 - 63
Copyright
Copyright © Materials Research Society 1999

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