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Développement d'éléments finis ferroélectriques et ferroélastiques de type solide et coque curvilignes

Abstract : Piezoceramics like lead zirconate titanate or PZT can produce an electric potential when they are subjected to a mechanical stress and deform in the presence of an electric field. This electromechanical coupling can be described by linear constitutive equations for moderate loadings. Nevertheless, this coupling becomes highly non linear when piezoceramics are subjected to high electromechanical loadings due to the electric polarization switching. In this thesis work, a phenomenological material constitutive model that describe the electric polarization ferroelectric switching (by an electric field) and ferroelastic switching (by a mechanical stress) is proposed. To describe the loading history, two internal variables are considered and two electric and mechanical loading surfaces are defined to indicate the onset of domain switchings. A bi-dimensional version of this model is developed to study thin piezoelectric structures. The phenomenological model 2D and 3D versions are implicitly integrated by adopting the return-mapping algorithm. Two shell and hexahedral first-order finite elements are then formulated and implemented into the commercial finite element code Abaqus via the user subroutine UEL (User ELement).
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Wajdi Zouari. Développement d'éléments finis ferroélectriques et ferroélastiques de type solide et coque curvilignes. Autre [cond-mat.other]. Université Henri Poincaré - Nancy 1, 2010. Français. ⟨NNT : 2010NAN10015⟩. ⟨tel-01748208⟩

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