P. Ladeveze, THE EXACT THEORY OF PLATE-BENDING, Comptes rendus de l'Academie des sciences. Serie 2. Mecanique, physique, chimie, astronomie, 326(7), 1998, pp. 407-414
A new approach is introduced for the analysis and computation of homog
eneous, isotropic elastic plates subjected to any bending loads. This
approach is based upon a partitioning, which is independent of thickne
ss, of the 3D reference solution into both a part with large variation
length and localized effects, whose generalized stress-displacement v
alues are zero. The parr with large variation length can easily be com
puted from data as well as from generalized quantities that represent
'averages' in the thickness. These generalized quantities coincide wit
h those obtained from the 3D reference solution; they constitute the s
olution to an 'exact' theory of plate bending. (C) Academie des Scienc
es/Elsevier Paris.