@article{10902/26459,
year = {2020},
url = {https://hdl.handle.net/10902/26459},
abstract = {We consider a spectral homogenization problem for the linear elasticity system posed in a domain  of the upper half-space R3+, a part of its boundary  being in contact with the plane {x3=0}. We assume that the surface  is traction-free out of small regions T, where we impose Winkler-Robin boundary conditions. This condition links stresses and displacements by means of a symmetric and positive definite matrix-function M(x) and a reaction parameter () that can be very large when 0. The size of the regions T is O(r), where r, and they are placed at a distance  between them. We provide all the possible spectral homogenized problems depending on the relations between , r and (), while we address the convergence, as 0, of the eigenpairs in the critical cases where some strange terms arise on the homogenized Robin boundary conditions on . New capacity matrices are introduced to define these strange terms.},
organization = {This work has been partially supported by Russian Foundation on Basic Research grant 18-01-00325, Spanish MICINN grant PGC2018-098178-B-I00 and the Convenium Banco Santander - Universidad de Cantabria 2018.},
publisher = {Springer Nature},
publisher = {Journal of Elasticity, 2020, 142, 89-120},
title = {Asymptotics for Spectral Problems with Rapidly Alternating Boundary Conditions on a Strainer Winkler Foundation},
author = {Gómez Gandarillas, Delfina and Nazarov, Sergei A. and Pérez Martínez, María Eugenia},
}