A recursive asymptotic homogenization scheme for multi-phase fibrous elastic composites

A multi-phase elastic composite is considered here. A periodic hexagonal array of concentric circular cylindrical fibers is dealt with, wherein the constituents exhibit transverse isotropy. The geometrical and transversely isotropic axes are parallel. Based on certain analytical formulae derived rec...

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Bibliographic Details
Published in:Mechanics of materials 2005-11, Vol.37 (11), p.1119-1131
Main Authors: Guinovart-Díaz, Raúl, Rodríguez-Ramos, Reinaldo, Bravo-Castillero, Julián, Sabina, Federico J., Otero-Hernández, José A., Maugin, Gerard A.
Format: Article
Language:English
Subjects:
Effective properties
Exact sciences and technology
Fibrous composite
Fundamental areas of phenomenology (including applications)
Mesophase
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Three-phase composite
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Summary:A multi-phase elastic composite is considered here. A periodic hexagonal array of concentric circular cylindrical fibers is dealt with, wherein the constituents exhibit transverse isotropy. The geometrical and transversely isotropic axes are parallel. Based on certain analytical formulae derived recently for biphasic materials using the asymptotic homogenization method, a recursive scheme is set up to determine the overall properties of this multi-phase material. Comparisons with experimental data, variational bounds and some other models are presented in order to show the efficiency of the employed scheme.
ISSN:0167-6636
1872-7743
DOI:10.1016/j.mechmat.2005.02.003