This study deals with elastic media periodically reinforced by slender and very stiff inclusions. Using homogenization and dimensional analysis, one deduces the conditions inducing a full coupling between the beam behavior of the inclusions and the shear behavior of the matrix. Conversely to the Cauchy media usually derived for composites, the macroscopic model involves at the leading order a second gradient effect (inner bending) and differs from Cosserat media (despite the inner rotation of the beam section). An experimental validation of these theoretical results is given in conclusion.
|Translated title of the contribution||Modèle à double gradient pour matériaux renforcés. Modélisation théorique et expérimentale|
|Title of host publication||20ème Congrès Français de Mécanique, Besançon, France|
|Number of pages||6|
|Publication status||Published - 2011|