Propagation of electroacoustic axial shear waves in a piezoelectric medium reinforced by continuous fibers

Static effective characteristics in piezoelectric composite materials

“…The material properties are taken from [25]. The EMM is compared with the effective medium (EF) developed in [24] and with a finite element calculations (FE) taken from [25]. In Figure 3a is shown the behavior of C 44 effective properties and in Figure 3b matrix.…”

“…Sabina and Willis generalized SC to dynamics composites by studying dispersion and attenuation of longitudinal and transversal waves in isotropic composites [22] and the SC dynamic scheme to transversally isotropic composites is extended in [23]. Moreover, the general scheme of the effective medium method is considered in [24], where static and dynamic properties of piezoelectric transversely isotropic materials with symmetry axes parallel to the fiber axes are provided.…”

Analysis of dynamic failure of the discrete chain structure with non‐local interactions

“…Using the properties of the factors in (15), one can conclude that ArgL.k/ is an odd function while log jL.k/j is an even function for k 2 R. This in turns allows us to obtain asymptotic expansion of the factors L˙.k/ at infinity:…”

“…Apart from the fact that factorization of the function L.k/ from (11) satisfying an additional normalisation condition at infinity is unique, it can be performed by various techniques not only in the way suggested by (15). One should also remember that the inverse Fourier transform of the solution should be performed in order to evaluate the displacement profiles.…”

“…The recent work [13] shows the non-locality effect leading to general non-local constitutive relations of materials in the absence of defects. Wave propagation in a dispersive non-local model of a periodic composite and composites reinforced by continuous fibres have been considered by Federico Sabina and co-authors [14,15].…”