Microstructure models for composites with imperfect interface via the periodic unfolding method

Article type: Research Article

Authors: Ene, Horia | Timofte, Claudia^;

Affiliations: Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romania. E-mail: horia.ene@imar.ro | University of Bucharest, Faculty of Physics, Bucharest-Magurele, P.O. Box MG-11, Romania. E-mail: claudiatimofte@yahoo.com

Note: [] Corresponding author. E-mail: claudiatimofte@yahoo.com

Abstract: Using the periodic unfolding method, we shall analyze the asymptotic behavior of the solution of a system of coupled partial differential equations appearing in the modeling of an elasticity problem in a periodic structure formed by two interwoven and connected components with imperfect contact at the interface. Our setting proves to be relevant for analyzing contact problems for multiphase composites with imperfect interfaces.

Keywords: homogenization, linear elasticity, imperfect contact, the periodic unfolding method

DOI: 10.3233/ASY-141239

Journal: Asymptotic Analysis, vol. 89, no. 1-2, pp. 111-122, 2014