Asymptotic homogenization of a mechanical equilibrium problem of a functionally-graded Euler-Bernoulli beam with non-periodic microstructure

• DOI: 10.55592/cilamce.v6i06.8115
• Publication Date: 2025-01-14T11:12:11Z
• Authors: Leslie Darien Pé...; Douglas Machado ...; Julián Bravo-Cas...
• Keywords: Homogenization; Asymptotic homogenization; Representative elementary volume

To the best of our knowledge, few classical applications Keller's two-space method non-periodic asymptotic homogenization are related to effective behavior heterogeneous media in context poroelasticity considering fluid flow and saturation. We believe that this is due alternative common approach approximating random or microstructures via periodic replication a representative volume element, as structures are, generally speaking, much more tractable mathematically computationally. However, than 40 years later, number preliminary results has arisen on various areas, namely, composite functionally-graded bars, approximate solution electroencephalogram forward problem for neural imaging activity, modeling atmospheric pollutant dispersion. These recent deal with second-order elliptic parabolic equations. In contribution, we present application mechanical equilibrium Euler-Bernoulli beam microstructure, which relies fourth-order equation. equations been considered only case.