Homogenization models for two-dimensional grid structures

Article type: Research Article

Authors: Banks, H.T. | Cioranescu, D. | Rebnord, D.A.

Affiliations: Center for Research in Scientific Computation, Box 8205, CRSC, NC State University, Raleigh, NC 27695-8205, USA | Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Tour 55-65, 5éme étage, 4 place Jussieu, 75252 Paris Cedex 05, France | 215 Carnegie Hall, Department of Mathematics, Syracuse University, Syracuse, NY 13224-1150, USA

Abstract: A Love-Kirchhoff perforated plate or grid with Kelvin-Voigt damping is considered. The grid contains periodic rectangular holes. Detailed mathematical arguments for the derivation of an approximate homogenized model on a domain without perforations are given.

DOI: 10.3233/ASY-1995-11201

Journal: Asymptotic Analysis, vol. 11, no. 2, pp. 107-130, 1995