Thermoelastic composites with columnar microstructure and cylindrically anisotropic phases. Part I: Exact results

Estimation of the effective thermoelastic moduli of fibrous nanocomposites with cylindrically anisotropic phases

“…It is interesting to note that, when L s 44 = 0, the expression (76) of G * reduces to the formula (76) obtained by Le Quang and He [21] (see also [6,18]) for the composite cylinder assemblage (CCA) model with no interface stresses. In the particular case where the interface, matrix and fiber phases are transversely isotropic, by setting G In this section, we let be subjected to the following axisymmetric boundary conditions in the Cartesian coordinate system (x, y, z) :…”

“…In the cylindrical coordinate system (r, θ, z), (21) and (22) can be rewritten in the equivalent form:…”

“…Under the boundary conditions (57) and (58), the nonzero displacement, strain, and stress fields in the core, coating matrix, and the external homogeneous medium of the composite cylinder take the following form (see, e.g., [18,21]):…”

“…More precisely, adopting the following material parameters defined in the work of Le Quang and He [21] …”

“…with i = 1, 2, e, the expressions for the nonzero cylindrical displacement, strain, and stress fields are those obtained by Le Quang and He [21]:…”