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Local fields in two‐phase fibrous piezo‐composites with 622 constituents
Author(s) -
AlfonsoRodríguez Ransés,
BravoCastillero Julián,
PérezFernández Leslie D.
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3923
Subject(s) - homogenization (climate) , asymptotic homogenization , composite number , mathematics , plane (geometry) , composite material , phase (matter) , mathematical analysis , matrix (chemical analysis) , materials science , geometry , physics , biodiversity , ecology , quantum mechanics , biology
The behaviour of the anti‐plane local fields of a two‐phase piezo‐composite made of a fibre embedded in an infinite matrix, and in perfect contact with it, is studied. Both constituents belong to the 622 crystal symmetry class. A solution for the case of a far‐field in‐plane electrical load and a far‐field anti‐plane mechanical load is presented. The limit cases are analysed, whereas the results validation is made through comparisons with semi‐analytical results derived from the application of complex variable methods to the solution of the local problems that arise from the application of the asymptotic homogenization method to the related problem of periodic distributions of fibres with small cross‐section area. These results could be useful in bone mechanics applications. Copyright © 2016 John Wiley & Sons, Ltd.