Homogenization approaches for the effective characteristics of fractional visco-piezoelastic fibrous composites

In this work, the effective coefficients for a two-phase visco-piezoelastic composite reinforced by cylindrical fibers embedded in a matrix are derived using the effective field and asymptotic homogenization approaches. The composite is characterized by an isotropic viscoelastic matrix reinforced by...

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Veröffentlicht in:Acta mechanica 2023-05, Vol.234 (5), p.2087-2101
Hauptverfasser: Otero, J. A., Rodríguez-Ramos, R., Espinosa-Almeyda, Y., Sabina, F. J., Levin, V.
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container_end_page 2101
container_issue 5
container_start_page 2087
container_title Acta mechanica
container_volume 234
creator Otero, J. A.
Rodríguez-Ramos, R.
Espinosa-Almeyda, Y.
Sabina, F. J.
Levin, V.
description In this work, the effective coefficients for a two-phase visco-piezoelastic composite reinforced by cylindrical fibers embedded in a matrix are derived using the effective field and asymptotic homogenization approaches. The composite is characterized by an isotropic viscoelastic matrix reinforced by piezoelastic fibers, such that the fibers are oriented along the x 3 -axis and their spatial distribution allows us to consider a hexagonal cell. Under these assumptions, closed formulas are obtained based on the Rabotnov’s fractional exponential kernel. Limit cases are reported as a validation of the model. Numerical implementation for the effective coefficients is carried out, and a comparison between both approaches is given. Electromechanical coupling coefficients for ultrasonic pulse-echo transducers in medical applications are computed.
doi_str_mv 10.1007/s00707-023-03485-7
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subjects Classical and Continuum Physics
Composite materials
Control
Coupling coefficients
Dynamical Systems
Electric fields
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Fiber composites
Fibers
Heat and Mass Transfer
Hexagonal cells
Homogenization
Original Paper
Solid Mechanics
Spatial distribution
Theoretical and Applied Mechanics
Transducers
Vibration
Viscoelasticity
title Homogenization approaches for the effective characteristics of fractional visco-piezoelastic fibrous composites
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