Erratum: “Effective Electromechanical Properties of 622 Piezoelectric Medium With Unidirectional Cylindrical Holes” [ASME J. Appl. Mech., 2013, 80(5), p. 050905; DOI 10.1115/1.4023475]

Local fields in two‐phase fibrous piezo‐composites with 622 constituents

“…Figures and illustrate the fluctuations of the electric potential ϕ , and the stress σ z y , over the square {−4 < x / R < 4}×{−4 < y / R < 4}. For Figures (a) and , we use the far‐field loadings σ ∞ =50 MPa, E ∞ =1 MVm −1 and the material properties , , , , and ; while for Figure b, we changed the piezoelectric property of the matrix by in order to illustrate how the value of the aforementioned constant affects the distribution of the contours of the electric potential (This piezoelectric property was taken from Section 6 of ).…”

“…In and , the asymptotic homogenization method (AHM) was applied to determine the effective coefficients of periodic composites which are in a state of anti‐plane shear piezoelectricity, that is, a coupled state of out‐of plane mechanical displacement and in‐plane electric field. In , a two‐phase fibrous composite is studied, whereas in , the case of empty‐fibres was considered. In , by using methods of potential functions, Green's function is derived for a material with 622 symmetry.…”

“…However, to the best of our knowledge, only three works have been reported on the solution of the linear piezoelectricity equations involving materials with 622 symmetry. In and , the asymptotic homogenization method (AHM) was applied to determine the effective coefficients of periodic composites which are in a state of anti‐plane shear piezoelectricity, that is, a coupled state of out‐of plane mechanical displacement and in‐plane electric field. In , a two‐phase fibrous composite is studied, whereas in , the case of empty‐fibres was considered.…”

Analysis of Boundary Layer Influence on Effective Shear Modulus of 3-1 Longitudinally Porous Elastic Solid

“…In this section, we review basic aspects of the AHM, which are used to obtain a closed-form expression for the effective elastic modulus of the elastic medium with infinite dimensions. Further details can be found in Aguiar et al (2013). This expression is used in Section 5 for comparison purposes with numerical approximations of obtained for a medium with finite dimensions.…”

“…Specifically, we use closed form expressions obtained by Bravo-Castillero et al (2009) and Aguiar et al (2013) to calculate analytically the effective shear elastic modulus of the solid. The procedure used in this calculation can be used to evaluate the other effective elastic moduli of the solid.…”