Numerical analysis of a quasistatic piezoelectric problem with damageNumerical analysis of a quasistatic piezoelectric problem with damage Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-132008enThe quasistatic evolution of the mechanical state of a piezoelectric body with damage is numerically studied in this paper. Both damage and piezoelectric effects are included into the model. The variational formulation leads to a coupled system composed of two linear variational equations for the displacement field and the electric potential, and a nonlinear parabolic variational equation for the damage field. The existence of a unique weak solution is stated. Then, a fully discrete scheme is introduced by using a finite element method to approximate the spatial variable and an Euler scheme to discretize the time derivatives. Error estimates are derived on the approximate solutions, from which the linear convergence of the algorithm is deduced under suitable regularity conditions. Finally, a two-dimensional example is presented to demonstrate the behaviour of the solutionhttp://creativecommons.org/licenses/by/4.0/Comptes Rendus Mécanique7336559–564 Stavroulakis Georgios Σταυρουλακης Γεωργιος José R. Fernández Rebeca Martínez Elsevier Applied mechanics Engineering, Mechanical mechanics applied applied mechanics engineering mechanical