Abstract
We study an elastostatic problem in an \({\varepsilon }\)-periodic medium having three phases: matrix, fibers, and fiber coatings. The rigidity is of order one along the fibers and is scaled by \({{\varepsilon }^2}\) (the so-called double porosity scaling) in both the transverse directions and the fiber coatings. Using the homogenization process, we show that both the effective transverse traction and the longitudinal stress in the fibers are mainly influenced by the elastic properties of the fiber coatings.
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Communicated by Salvatore Rionero.
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Boughammoura, A. Homogenization of an elastic medium having three phases. Ricerche mat. 64, 65–85 (2015). https://doi.org/10.1007/s11587-014-0211-y
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DOI: https://doi.org/10.1007/s11587-014-0211-y