A. Cimetiere et al., THE USUAL LINEAR PLATE MODEL DEDUCED FROM THE NONLINEAR 3-DIMENSIONALELASTICITY, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 326(3), 1998, pp. 159-162
A new justification of the two-dimensional linear Kirchhoff-Love plate
model is given by asymptotic expansion of the nonlinear equilibrium e
quations. For weak level forces, the asymptotic analysis leads to the
two-dimensional linear Kirchhoff-Love model, whereas for moderate leve
l forces, it leads to the usual nonlinear two-dimensional plate model.
(C) Academie des Sciences/Elsevier, Paris.