5 research outputs found
Effective transverse elastic properties of unidirectional fiber reinforced composites
International audienc
Effective transverse elastic properties of unidirectional fiber reinforced composites
International audienc
Effective transport properties for periodic multiphase fiber-reinforced composites with complex constituents and parallelogram unit cells
[EN] The two-scale asymptotic homogenization method is used to find closed-form formulas for effective
properties of periodic multi-phase fiber-reinforced composites where constituents have complexvalued
transport properties and parallelogram unit cells. An antiplane problem relevant to linear elasticity
is formulated in the frame of transport properties. The application of the method leads to the need of
solving some local problems whose solution is found using potential theory and shear effective coefficients
are explicitly obtained for nphase fiber-reinforced composites. Simple formulae are explicitly
given for three- and four-phase fiber-reinforced composites. The broad applicability, accuracy and generality
of this model is determined through comparison with other methods reported in the literature in
relation to shear elastic moduli and several transport problems of multi-phase fiber-reinforced composites
in their realm, such as conductivity in a biological context and permittivity leading to gain and loss
enhancement of dielectrics. Also, the example of gain enhancement of inertial mass density is looked into.
Good agreement with other theoretical approaches is obtained. The formulas may be useful as benchmarks
for checking experimental and numerical results.YE gratefully acknowledges the Program of Postdoctoral Scholarships of DGAPA from UNAM, Mexico. RG and RR would like to thank to COIC/STIA/9042 and COIC/STIA/9045/2019. RR thanks the International Research Training Group GRK 2078 "Integrated engineering of continuous-discontinuous long fiber reinforced polymer structures"(CoDiCoFRP) funded by German Research Foundation (DFG) for inviting him as a guest scientist, parts of the manuscript were written during this stay. JB and FJS acknowledge the funding of PAPIIT-DGAPA-UNAM IA100919. TB acknowledges the support by DFG under the grant GRK 2078/2. Thanks to the Department of Mathematics and Mechanics, IIMAS-UNAM, for its support and Ramiro Chavez Tovar and Ana Perez Arteaga for computational assistance.Sabina, FJ.; Guinovart-Díaz, R.; Espinosa-Almeyda, Y.; Rodríguez-Ramos, R.; Bravo-Castillero, J.; López-Realpozo, JC.; Guinovart-Sanjuán, D.... (2020). Effective transport properties for periodic multiphase fiber-reinforced composites with complex constituents and parallelogram unit cells. International Journal of Solids and Structures. 204:96-113. https://doi.org/10.1016/j.ijsolstr.2020.08.001S9611320