Effective Electroelastic Properties of a Piezocomposite with Viscoelastic and Dielectric Relaxing Matrix

Abstract

We use the correspondence principle of linear viscoelasticity and the Mori-Tanaka averaging method to determine the effective electroviscoelastic moduli of a piezocomposite made of piezoceramic (PZT) inclusions and a viscoelastic matrix whose dielectric constants also vary with time t. For elliptic cylindrical PZT inclusions, closed form expressions for the electroviscoelastic moduli are derived. It is found that for the 1-3 piezocomposite, the relaxation of the dielectric constants of the matrix affects only the dielectric moduli and the shear components of the piezoelectric and the viscoelastic moduli of the piezocomposite. However, the viscoelasticity of the matrix influences every effective electroelastic modulus of the piezocomposite. The relaxation times of any two effective moduli are different, and the piezocomposite is an orthotropic material. For time-harmonic loading of the piezocomposite studied, only frequencies in the range of 10 2- 102 Hz strongly influence the effective storage and the effective loss moduli. Whereas thin PZT ribbons provide the most mechanical strength to the piezocomposite, they give the least piezoelectric effect.

Stress relaxation response of active fiber composites

“…We assume that the polymer matrix is isotropic, the electro-mechanical coupling effect is absent, and the dissipation of energy during the viscoelastic deformation is negligible. The constitutive relation for a linearized viscoelastic polymer matrix is: ψ λ ( 7 ) where N is the number of Prony terms in the transient compliance, D n is the n th coefficient of the Prony series, and λ n is the n th reciprocal of retardation time that corresponds to D n . The reduced time function in Eq.…”

“…Dunn and Taya (1993), Aboudi (2001), Odegard (2004), Lee et al (2005), among others have used micromechanical models for predicting linear properties of active composites. Li and Dunn (2001) and Jiang and Batra (2001) presented electro-mechanical properties of linear viscoelastic piezocomposites. They combined the correspondence principle and Mori-Tanaka micromechanical model to determine complex properties of composites.…”

Micromechanical models for time-dependent multiphysics responses of polymer matrix smart composites

“…Many other researches (Aldraihem, Baz, & http://dx.doi.org/10.1016/j.ijengsci.2015.010 0020-7225/Ó 2015 Elsevier Ltd. All rights reserved. Al-Saud, 2007;Batra, 2001;Li & Dunn, 2001;Muliana & Li, 2010) have also been conducted to investigate the viscoelectroelastic behavior of composites consisting of piezoelectric phase and polymer matrix. However, none of them is involved in the electromagnetoviscoelastic behavior of composites.…”

Micromechanical modelling of porous viscoelastic composite materials

“…This approach based on the Laplace transform was also extended to analyze the behavior of coupled field composite materials. Jiang and Batra [5] derived closed form expressions in time and frequency domain of viscopiezoelastic composites consisting of parallel PZT cylinders of elliptic cross section embedded in a viscoelastic matrix. Azrar et al [6] and Bakkali et al [7] extended the Laplace transform approach to predict the time and frequency dependent behavior of viscopiezoelectric and viscomagnetoelectroelastic composite materials.…”