The effective thermoelectroelastic properties of microinhomogeneous materials

Anisotropy Factors and Hydrostatic Parameters of 1–3-Type Piezo-Active Composites with Auxetic Polymer Matrices

“…The effective electromechanical properties of the 1-3 composite are determined in the long-wave approximation as a function of the volume fraction m of FC by means of the effective field method (EFM, for the circular cross section of the rod) [13] and finite element method (FEM, for the elliptic cross section of the rod) [14]. In case of the elliptic cross section, a value of the aspect ratio η = a 2 /a 1 is varied in a range 0 < η ≤ 1, so that the limiting case of η = 1 is related to the circular cross section.…”

“…The effective electromechanical properties of the 1-3-type composite are determined within the framework of the EFM [13] from…”

On the modeling and design of piezocomposites with prescribed properties

“…The method of effective ®eld (discussed below) was applied in [16] to the problem of effective properties of the isotropic purely elastic (piezopassive) matrix with spheroidal piezoelectric inhomogeneities of identical aspect ratios that are either parallel or randomly oriented. Note that, in the latter case, the piezoeffect is lost at the macroscale since the effective properties are isotropic.…”

Variational bounds for anisotropic elastic multiphase composites with different shapes of inclusions

“…Moreover, the upper and lower bounds calculated using (7) are also shown. Although it is not shown in the figure, it is convenient to comment that, for δ = 10, the effective coefficientsk,l,n,m, andp were computed using the asymptotic homogenization method (AHM) [10] and the self-consistent effective field method (SCEF) [21]. All curves agree with the lower and upper bounds (7).…”

“…Derivation of the effective coefficients for anisotropic elastic composites using the asymptotic homogenization method (AHM) and self-consistent methods (SCM) has been studied by Pobedrya [29] and Willis [39], and more recently by Levin et al [21], Sabina et al [31], Guinovart-Diaz et al [10], and Rodriguez-Ramos et al [30]. The estimation of bounds for the overall properties of anisotropic composites has also been considered by many authors.…”