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

Article type: Research Article

Authors: Griso, G. | Sánchez, M.T.

Affiliations: Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie (Paris VI), Boîte courrier 187, 75252 Paris Cedex 05, France | Department of Applied Mathematics, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Abstract: 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.

Keywords: homogenization, perforated beams, unfolding method

DOI: 10.3233/ASY-2009-0971

Journal: Asymptotic Analysis, vol. 67, no. 1-2, pp. 45-84, 2010