Homogenization of an elastic medium reinforced by anisotropic fibers
Ali Sili · Asymptotic Analysis · 2005
We study the homogenization of an elastic medium periodically reinforced by thin anisotropic elastic fibers, the radius of the fibers being of the order of the size ε of the period, while 1/ε 2 is the ratio between the coefficients of the tensor inside the fibers with those of the tensor outside them. In this case, the sequence u ε of the displacements is not apriori bounded in (L 2 (Ω)) 3 . We prove that the homogenized problem is a strongly coupled nonlocal problem which involves variables due to the anisotropy of the fibers.