Micromechanical method for effective piezoelectric properties and electromechanical fields in multi-coated long fiber composites

Abstract

This paper proposes a micromechanical framework for identifying the macroscopic behavior of multi-coated long fiber composites, as well as the average electromechanical microscopic fields of all phases (matrix, fibers, coating layers), generated upon known macroscopic conditions. The work aims at developing a unified micromechanical approach that provides an analytical solution standing for non-coated and multi-coated long fiber composites with transversely isotropic piezoelectric behavior. The proposed method solves specific boundary value problems and utilizes the Mori-Tanaka homogenization scheme, in which the dilute strain and electric field concentration tensors are obtained analytically with the help of an extended composite cylinders method that accounts for coupled electromechanical fields. The capabilities of this homogenization strategy are illustrated with the help of numerical examples, and comparisons with known solutions from the literature for non-coated and coated fiber piezoelectric composites are provided.

Extended Locally Exact Homogenization Theory for Effective Coefficients and Localized Responses of Piezoelectric Composites

“…In a cylindrical coordinate, the strains are composed of averaged components and fluctuating displacements [27] according to definition of Equation (6).…”

“…Thus, researchers developed micromechanics models to predict the effective coefficients of piezoelectric composites. Apart from the analogy of parallel and series circuits, [ 2 ] several classical models, such as composite cylinder assemblage (CCA), [ 3 ] Mori−Tanaka (M−T) tensor‐based methods, [ 4–6 ] and self‐consistent schemes, [ 7 ] are sequentially developed in the 1990s of the past century. Later on, the asymptotic homogenization was developed to predict the effective multiphysics coefficients of smart composites.…”

A micromechanical modeling approach for predicting the piezoelectric and mechanical properties of piezoelectric fiber-reinforced multiphase composites containing CNT/GNP hybrids

“…Commonly, a piezoelectric material cannot simultaneously satisfy a wide range of requirements for a special application. For instance, the increased weight of piezoelectric ceramics, like lead zirconate titanate (PZT), is a critical limitation in their applicability (Chatzigeorgiou et al, 2019). One of the most efficient ways to overcome this problem is the fabrication of piezoelectric composites which are usually consisted of a polymer matrix reinforced with the piezoelectric ceramic fibers (Hammami et al, 2006; Khaliq et al, 2017; Choy et al, 2004; Dhala and Ray, 2015).…”

Recursive multiscale homogenization of multiphysics behavior of fuzzy fiber composites reinforced by hollow carbon nanotubes

“…The classical micromechanics methods, such as the composite cylinder assemblage (CCA) model (Hashin and Rosen, 1964) and dilute approach (Isaeva and Topolov, 2021) continue to be appropriate tools for predicting the effective properties of hollow CNTs-reinforced nanocomposites. The recent extension of the CCA model by Chatzigeorgiou et al (2019aChatzigeorgiou et al ( , 2019b has further enabled the efficient computation of homogenized properties of piezoelectric composites with an interphase layer. It should be noted that the classical micromechanics models are microstructural detail-free models.…”