@article{10902/35117, year = {2024}, month = {11}, url = {https://hdl.handle.net/10902/35117}, abstract = {We consider a homogenization problem for the elasticity operator posed in a bounded domain of the half-space, a part of its boundary being in contact with the plane. This surface is traction-free out of "small regions", where we impose non-linear Winkler-Robin boundary conditions containing "large reaction parameters". Non-periodical distribution of these regions is allowed provided that they have the same area. We show the convergence of solutions towards those of the homogenized problems depending on the relations between the parameters distance, sizes, and reaction.}, organization = {This work has been partially supported by grants: Grant PID2022-137694NBI00 funded by MICIU/AEI/10.13039/501100011033 and by ERDF/EU; Grant Ref. 20.VP66.64662 funded by Gobierno Cantabria-UC.}, publisher = {Vilnius Gediminas Technical University Press}, publisher = {Mathematical Modelling and Analysis, 2024, 29(4), 694-713}, title = {Averaged reaction for nonlinear boundary conditions on a grill-type Winkler foundation}, author = {Gómez Gandarillas, Delfina and Pérez Martínez, María Eugenia}, }