Cao Rial, María TeresaRodríguez-Arós, Ángel2024-11-262024-11-262018Rodríguez-Arós Á, Cao-Rial M.T. Mathematical and numerical analysis of an obstacle problem for elastic piezoelectric beams. Mathematics and Mechanics of Solids. 2018;23(3):262-278. doi:10.1177/1081286517717580http://hdl.handle.net/2183/403170This is an ACCEPTED VERSION of the following published document: Rodríguez-Arós Á, Cao-Rial M.T. Mathematical and numerical analysis of an obstacle problem for elastic piezoelectric beams. Mathematics and Mechanics of Solids. 2018; 23(3):262-278. Copyright © 2018, Sage Publications. doi:10.1177/1081286517717580. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/[Abstract] We consider a mathematical model that describes the equilibrium of an electro-elastic beam in contact with an electrically conductive foundation (an obstacle). The model is constructed by coupling the beam equation with a system of equations describing one-dimensional piezoelectricity. We state the unique weak solvability of the model as well as the continuous dependence of the weak solution with respect to the data. We also introduce a discrete scheme for which we perform numerical analysis, including convergence and error estimate results. Finally, we present numerical simulations in the study of a test problem.engCC-BY-NC-ND 4.0 licensehttp://creativecommons.org/licenses/by-nc-nd/3.0/es/BeamElasticityPiezoelectricityObstacleContactNormal complianceSignoriniFinite element methodjournal articleopen access10.1177/1081286517717580