TY - JOUR
T1 - Effective transport properties for periodic multiphase fiber-reinforced composites with complex constituents and parallelogram unit cells
AU - Sabina, F. J.
AU - Guinovart-Díaz, R.
AU - Espinosa-Almeyda, Y.
AU - Rodríguez-Ramos, R.
AU - Bravo-Castillero, J.
AU - López-Realpozo, J. C.
AU - Guinovart-Sanjuán, D.
AU - Böhlke, T.
AU - Sánchez-Dehesa, J.
N1 - Publisher Copyright:
© 2020 Elsevier Ltd
PY - 2020/11
Y1 - 2020/11
N2 - 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 complex-valued 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 n-phase 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.
AB - 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 complex-valued 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 n-phase 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.
KW - Asymptotic homogenization method
KW - Effective complex permittivity
KW - Interface/interphase
KW - Multi-phase fiber-reinforced composites
KW - Transport problems
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U2 - 10.1016/j.ijsolstr.2020.08.001
DO - 10.1016/j.ijsolstr.2020.08.001
M3 - Article
AN - SCOPUS:85090147192
SN - 0020-7683
VL - 204-205
SP - 96
EP - 113
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
ER -