JUSTIFICATION OF THE SCALINGS AND OF THE ASSUMPTIONS ON THE DATA IN THE ASYMPTOTIC ANALYSIS OF BIDIMENSIONAL MODELS OF ELASTIC THIN PLATES .1. THE LINEAR CASE

The asymptotic analysis proposed by P. G. Ciarlet and P. Destuynder gives a complete justification of the classical linear Kirchhoff-Love model in the theory of thin plates from the three-dimensional equations of linearized elasticity, without any a priori geometrical or mechanical assumption. This analysis uses in a crucial way specific "assumptions on the data" (Lame constants and applied forces) and specific "scalings " of the components of the displacement vector field. We show here how to justify, these assumptions on the data and these scalings.