Homogenization of an elasticity problem for a catalyst support by using the unfolding method

摘要

The goal of this work is to study the asymptotic behaviour of catalyst supports in a linear elasticity problem. The catalyst support is a structure made of beams, placed periodically and with inner holes. We introduce a decomposition of the displacements in such a structure and we prove some convergence results. Finally, we obtain the limit problem when the elasticity parameter e and the periodicity parameter ε go to zero.