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In this paper we show the existence of global minimizers for thegeometrically exact, non-linear equations of elastic plates, in the frameworkof the general 6-parametric shell theory. A characteristic feature of thismodel for shells is the appearance of two independent kinematic fields: thetranslation vector field and the rotation tensor field (representing in total 6independent scalar kinematic variables). For isotropic plates, we prove theexistence theorem by applying the direct methods of the calculus of variations.Then, we generalize our existence result to the case of anisotropic plates. Wealso present a detailed comparison with a previously established Cosserat platemodel.

Existence theorems in the geometrically non-linear 6-parametric theory of elastic plates