Hierarchical Modeling of Piezoelectric Plates
نویسنده
چکیده
ALEXANDRE L. MADUREIRA Abstract. We use variational techniques to derive a class of two-dimensional models for three-dimensional linearly elastic piezoelectric plates. The models result from a mixed formulation for the original problem within spaces of functions with polynomial dependence in the transverse direction. We show that the resulting system of equations is well-posed, and then discuss the asymptotic consistency of the simplest of such models.
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