The overall elastic response of materials containing coated inclusions in a periodic array

Overall behavior of composites with periodic multi-inhomogeneities

“…From Fig. 3(a)-(d) it is observed that the results of the current study are in good agreement with the results reported by EI Mouden et al (1998). …”

“…Employing the present treatment, the theoretical prediction of the overall behavior of materials containing thin coated particles, which is a simple exploitation of the proposed theory, is verified to be in good agreement with the analytical results of EI Mouden et al (1998), as well as the experimental measurements of Amdouni et al (1992).…”

“…In this simple problem the coating and the particle are concentric, and the material properties are: E m = 2.9 GPa and m m = 0.4 for the matrix; E f = 73 GPa and m f = 0.2 for the fiber; E c = 10 GPa and m c = 0.49 for the coating. EI Mouden et al (1998) compared their theoretical predictions for the YoungÕs modulus with those experimentally obtained by Amdouni et al (1992). Fig.…”

“…As the first illustration a simple example of a composite system containing spherical particles with very thin coatings, previously considered by EI Mouden et al (1998), is reconsidered. In this simple problem the coating and the particle are concentric, and the material properties are: E m = 2.9 GPa and m m = 0.4 for the matrix; E f = 73 GPa and m f = 0.2 for the fiber; E c = 10 GPa and m c = 0.49 for the coating.…”

“…1016/j.mechmat.2003.08.018 (1982), Iwakuma and Nemat-Nasser (1983), Rodin (1993), Molinari and El Mouden (1996), and Wu et al (1997). On the other hand, only a few investigations addressing the effective properties of composites reinforced with non-dilute distribution of two-phase particles are available in the literature; see, for example, Cherkaoui et al (1994) and EI Mouden et al (1998). Their treatments are limited to problems where a typical two-phase reinforcement particle consists of an inner inhomogeneity surrounded by a very thin coating of a different phase.…”