Effective Coefficients And Local Fields Of Periodic Fibrous Piezocomposites With 622 Hexagonal Constituents

Abstract

The asymptotic homogenization method is applied to a family of boundary value problems for linear piezoelectric heterogeneous media with periodic and rapidly oscillating coefficients.We consider a two-phase fibrous composite consisting of identical circular cylinders perfectly bonded in a matrix. Both constituents are piezoelectric 622 hexagonal crystal and the periodic distribution of the fibers follows a rectangular array. Closed-form expressions are obtained for the effective coefficients, based on the solution of local problems using potential methods of a complex variable. An analytical procedure to study the spatial heterogeneity of the strain and electric fields is described. Analytical expressions for the computation of these fields are given for specific local problems. Examples are presented for fiber-reinforced and porous matrix including comparisons with fast Fourier transform (FFT) numerical results.

Publication Date

1-1-2018

Publication Title

Advanced Structured Materials

Volume

89

Number of Pages

1-26

Document Type

Article; Book Chapter

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/978-3-319-72440-9_1

Socpus ID

85044663583 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85044663583

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