A Contact Model for Piezoelectric Beams

Abstract : We consider a mathematical model which describes the equilibrium of an electro-elastic beam in contact with an electrically conductive foundation. The model is constructed by coupling the beam equation with the one dimensional piezoelectricity system obtained in [13]. 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 the numerical analysis, including convergence and error estimates results. Finally, we present numerical simulations in the study of a test problem.
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Á. Rodríguez-Arós, M. Cao-Rial, M. Sofonea. A Contact Model for Piezoelectric Beams. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.442-451, ⟨10.1007/978-3-319-55795-3_42⟩. ⟨hal-01626911⟩

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