Resumen
In this study, we explore how different kernel choices affect the overall behavior of a periodic viscopiezoelastic fibrous composite. To achieve this, the two-scale homogenization method is employed to calculate the effective material properties of a two-phase composite, consisting of an isotropic viscoelastic matrix and piezoelastic fibers aligned along the x3 axis. The spatial distribution of the fibers allows for both hexagonal and square periodic unit cells to be considered. Based on these assumptions, the corresponding effective properties are derived. The model is validated through the study of certain limiting cases. Additionally, numerical simulations are conducted, and the results obtained using different kernel types are compared.