Justification of the asymptotic analysis of elastic plates, II. The non-linear case
Bernadette Miara · Asymptotic Analysis · 1994
In the first part of this study, where the linear case was considered, the appropriate scalings of the components of the displacement and the appropriate assumptions on the data (Lamé constants and applied forces) that are an essential step for deriving Kirchhoff-Love plate models by an asymptotic analysis, were justified up to a multiplicative factor. The study of the nonlinear case undertaken here, provides a full justification of this asymptotic analysis by “freezing” this dangling factor.