Characterization of piezoelectric composites with mechanical and electrical imperfect contacts

Abstract

The aim of the present work is to study the influence of the mechanical and electrical imperfections in reinforced piezoelectric composite materials with unidirectional cylindrical fibers periodically distributed in rhombic cells under mechanical and electrical imperfect contacts. The behavior of the composites is studied through two approaches: the two-scale asymptotic homogenization method and the finite element method. The asymptotic homogenization method is applied to a two-phase composite with mechanical and electrical imperfect contacts and to a three-phase composite with perfect contact in the interphase. The constituents of the composite are homogeneous piezoelectric materials with transversely isotropic properties. The local problems are formulated for the spring-capacitor and three-phase models by the asymptotic homogenization method. The solution of each plane local problem is found using potential methods of a complex variable and the properties of doubly periodic Weierstrass elliptic functions. Closed-form formulae are obtained for the effective properties of the composites with both types of imperfect contacts and different configuration of the cells. The finite element method is implemented for analysis of piezoelectric composite materials with unidirectional cylindrical fibers periodically distributed in rhombic cells under mechanical and electrical imperfect contacts. Some numerical examples are given under the presence of both imperfect contacts and different arrangement of the cells. Comparisons between the numerical results reported by asymptotic homogenization method and finite element method are provided.

Piezoelectric performance of lead-free PDMS/CNT/BaTiO3 piezocomposites with imperfect interphases and CNT agglomerations

“…The addition of MWCNTs also increases the dielectric permittivity of the matrix. Based on existing experimental evidence [27,44], the variation of the dielectric constant with f CNT follows a percolation behavior, described by a power-law…”

“…Based on the Mori-Tanaka homogenization scheme, Dinzart and Sabar [21] and, more recently, Lee et al [22,23] presented a micromechanical model to compute the effective properties of particle-reinforced composites where the interfacial damage is modeled as a linear spring (or linear compliance) layer of vanishing thickness. In the piezoelectric composite context, the imperfect interface conditions have been tackled analytically and numerically in referential works of Rodríguez-Ramos et al [24], Tita et al [25], Brito-Santana et al [26] and Rodríguez-Ramos et al [27]. In these works, the imperfect interface is modeled via an interphase region, under the assumptions of a very thin thickness and flexible isotropic material properties of the interphase by using the Hashin's model [28][29][30].…”

Cohesive zone phase field model for electromechanical fracture in multiphase piezoelectric composites

“…However, owing to their heterogeneous microstructures, these composites are often vulnerable to different types of failure such as interfacial debonding, and primary and secondary phase cracking. 1,2 The design and reliable manufacture of the piezocomposites requires a proper understanding of different failure processes that influences their overall multifunctional capabilities. As such, there is a need for physics-based computational models that can be used for robust simulations of these processes to provide guidance on better design approaches.…”

An approach for modeling three‐phase piezoelectric composites

“…In this case, hexagonal and square arrays of the cells are studied. Recently, Rodríguez-Ramos et al, [19] derived the piezoelectric effective properties for three-phase composites, but for the antiplane problems, and a comparison with the spring model and finite element method (FEM) approaches is given.…”

“…In addition, it shows the anisotropy character of the composites induced by the distribution of the fibers arrays. The new elements of this work (as compared with previous papers, Guinovart-Díaz et al, [15,23], Rodríguez-Ramos et al, [19]), with respect to both the AHM and FEM methods, consist in that it is the first intent to give a complete characterization by numerical (FEM) and analytical expressions (AHM) of the effective properties of the composite with a parallelepiped cell. These expressions contain the information about the constituents, fiber volume fraction, influence of the mesophase, and the periodic cell.…”